This is a seminar jointly organized by the three groups working on quantum physics and technology at Department of Physics, Kindai University, namely Condensed-Matter Theory (CMT), Quantum Control (QC), and QMB Laboratories.
Scheduled talks
Fiscal year 2024
Time and date: 15:00-, October 30, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Andou, Kyousuke (CMT)
Title: Machine learning analysis of Fully Frustrated XY Model (FFXY) in two-dimensional square lattice
Abstract: The recent remarkable development of artificial neural networks in image recognition, image classification, and natural language processing has influenced many scientific fields, and the search for new discoveries by applying this technology to any problem has begun. In the field of classical statistical physics, machine learning algorithms were introduced to identify symmetry-broken phase [1-3], and in some of these cases neural networks were shown to be able to learn order parameters and other thermodynamic parameters [1,3]. Having been able to apply machine learning techniques to conventional phase transitions, it is natural to ask whether the algorithm can be applied to unconventional phase transitions. As an example of such a system, we focus on the 2D Fully Frustrated XY Model (FFXY) [4]. The FFXY model has an Ising model-like transition and an XY model-like transition.
The purpose of this study is to see if machine learning algorithms trained by the XY and Ising models can detect phase transitions for the two-dimensional square lattice FFXY model. The two neural networks used were trained from the spin configuration of the Ising model and the vortex configuration of the XY model. The FFXY model detects vortices from spin configurations obtained from Monte Carlo simulations, and inputs them to the learning model.
[1] J. Carrasquilla and R. G. Melko, Nat. Phys. 13, 431 (2017).
[2] E. P. L. van Nieuwenburg, Y.-H. Liu, and S. D. Huber, Nat. Phys.13, 435 (2017).
[3] S. J. Wetzel and M. Scherzer, Phys. Rev. B 96, 184410 (2017).
[4] Stephen Teitel, 40 Years of Berezinskii–Kosterlitz–Thouless Theory (World Scientific), pp. 201-235 (2013).
Time and date: 15:00-, November 6, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Miyai, Seiichiro (QMB)
Title: Toward an analysis of correlation propagation in the Bose-Hubbard model with dipole-dipole interactions
Abstract: Rapid technological advances in preparing and manipulating cold atoms have offered unique opportunities for studies of non-equilibrium dynamics of quantum many-body systems. One of the fundamental questions to be addressed is how correlations propagate in these systems. Specifically, such correlation propagation dynamics have been analyzed in experiments with Bose gases in optical lattices [1,2], which can be well described by the Bose-Hubbard model. Moreover, quantum simulations including long-range interactions such as atoms with strong magnetic dipole-dipole interactions, Rydberg atoms, and cold polar molecules have recently been developed [3,4,5,6]. These experiments have opened up new possibilities for studying effects of the long-range interactions on correlation propagation dynamics. In this work, we aim to theoretically investigate correlation spreading in the Bose-Hubbard model with dipole-dipole interactions using the linear spin-wave theory (LSWT) [7]. In this presentation, we will review analyses using the unconstrained fermion approximation [8] in order to gain analytical insights on the correlation propagation in the Bose-Hubbard model. We also review calculations of dispersion relations of quasi-particle excitations based on the LSWT both in the absence [7] and presence [9] of the nearest-neighbor interaction.
[1] M. Cheneau et al., Nature, 481,487 (2012).
[2] Y. Takasu et al., Science Advances 6, eaba9255 (2020).
[3] S. Baier et al., Science 352, 201(2016).
[4] L. Su et al., Nature 622, 724 (2023).
[5] S. Ebadi et al., Nature 595, 227 (2021).
[6] J. S. Rosenberg et al., Nature Physics 18, 1062 (2022).
[7] S. D. Huber et al., Phys. Rev. B 75, 085106 (2007).
[8] P. Barmettler et al., Phys. Rev. A 85, 053625 (2012).
[9] D. L. Kovrizhin et al., Europhys. Lett. 72, 162 (2005).
Time and date: 15:00-, November 13, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Kokubo, Haruya (CMT)
Title: Critical velocity in a superfluid wake behind a plate-shaped obstacle
Abstract: When an obstacle potential moves within a superfluid at speeds exceeding the critical velocity, quantum vortices are generated. It is well known that this critical velocity depends strongly on the shape of the obstacle [1-2]. In this study, we investigate the critical velocity for quantum vortex formation around a plate-shaped obstacle moving within a uniform Bose-Einstein condensate. Numerical calculations based on the Gross-Pitaevskii theory reveal that the critical velocity decreases as the plate size increases, showing proportionality to $L^{-1/2}$ for large obstacles. Additionally, we find that smaller plate sizes deviate from this power law. We show that this numerical result is reproduced by applying perturbation analysis that incorporates compressibility into potential flow theory [3].
[1]Woo Jin Kwonet al., Phys. Rev. A 91, 053615 (2015)
[2]Haneul Kwak, Jong Heum Jung, and Y. Shin, Phys. Rev. A 107, 023310 (2023)
[3]Sergio Rica, Physica D : Nonlinear Phenomena, Volume 148, Issues 3–4 (2001)
Time and date: 15:00-, November 20, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Ueda, Kenta (QMB)
Title: TBA
Abstract: TBA
Time and date: 15:00-, November 27, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Sidharth Rammohan (QMB)
Title: Quantum phases in dipolar Bosons in planar array using cluster mean-field
Abstract: Dipolar bosons in optical lattices have emerged as a promising candidate for the quantum simulation of the condensed matter systems. These systems have been widely employed to study phase transitions in spin models because of their tunability with regard to the interaction strengths. These prospects now motivate scientists even more to explore for interesting phases in these kinds of systems, such Luttinger liquids. A theoretical study conducted in 2008 employed dipolar bosons in planar arrays to investigate the formation of the "sliding Luttinger liquid" (SLL) phase [1]. Since it is difficult to observe the SLL phase experimentally, the main objective of this work was to propose one such platform that would allow for the observation of the SLL phase utilizing dipolar bosons.
Despite the usual challenges associated with experimental advancements, experimental research has recently accelerated, and dipolar bosons can already be realized in optical lattices in laboratories. In 2023, Griener's group investigated the formation of dipolar quantum solids in a Hubbard quantum simulator [2]. Given the current status of the research field, we think that adopting a different approach, like a cluster mean-field method, to the problem will help to develop a computationally efficient solution and open the door to studying the real-time dynamics of the systems. We believe that the cluster mean field strategy introduced in [3] will work nicely for this.
While [3] studies the phase transition in a hardcore Bose-Hubbard model, this method can also be effectively applied to the dipolar boson in planar array case. Thus, in my talk, I will be talking about this proposal, initially focusing on the concepts of the cluster mean-field approach from [3] and the current state of the exploration of phase transition in dipole bosons in planar array. Then I will talk about our exact diagonalization results of the dipolar bosons in planar array for the grounds state. In conclusion, I will present our preliminary results from using DMRG, which is compared with the exact diagolanization results.
References:
[1] C. Kollath et.al., PRL 100, 130403 (2008).
[2] Lin Su et.al., Nature 622 (2023).
[3] D. Yamamoto et.al., PRB 86, 054516 (2012).
Time and date: 15:00-, December 4, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Yuri, Takumi (Osaka University)
Title: Observation and Analysis of Phonon and Polariton Propagation in a Many-ion Array under Harmonic Potential
Abstract: Quantum simulation, which uses well-controlled quantum systems to simulate other quantum systems, is gaining significant attention as a new method for exploring the properties of matter, and research in this area is becoming increasingly active. Trapped ions are a promising platform for quantum simulations due to their high coherence and controllability. In such systems, both qubits, which represent the internal states of ions, and phonons play crucial roles. The qubits of cooled ions can be controlled with high precision and have attracted significant attention. Consequently, numerous experiments have been conducted using ion arrays, ranging from a few ions to many, primarily focusing on their qubits [1]. On the other hand, phonons, which represent the vibrational quantum states of ions, offer more energy levels and can handle larger amounts of information. As to experiments with phonons, due to the challenges of controlling phonons, experiments focusing on phonons have so far only been reported in systems with a few ions [2,3]. However, in recent years, experiments using phonons in many-ion arrays have also started to emerge[4]. For polaritons—quasi-particles created by coupling the internal states of ions with phonons via laser interactions—experimental investigations have also been limited to few-ion systems [5].
This research aims to conduct experimental and theoretical studies of quantum many-body systems described by the Jaynes-Cummings-Hubbard (JCH) model using phonons in ion arrays. As preparation for observing quantum phase transitions in the JCH model, we investigated phonon and polariton hopping in these arrays, considering the inhomogeneity of ion distances. In this talk, we present simulations of phonon and polariton hopping, considering the inhomogeneity in ion distances. Subsequently, we describe the experimental observations of phonon and polariton hopping.
[1] M. -W. Li et al., Phys. Rev. Lett. 129, 140501 (2022).
[2] E. K. Irish et al., Phys. Rev. A 77, 033811 (2008).
[3] K. Toyoda et al., Phys. Rev. Lett. 111, 160501 (2013).
[4] B. -W. Li et al., Phys. Rev. Lett. 129, 140501(2022).
[5] R. Ohira et al., Quantum Sci. Technol. 6, 024015 (2021).
Time and date: 15:00-, December 11, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Kagamihara, Daichi (Chuo University)
Title: Anomalous tunneling effect on collective modes in a double-well trap: Theoretical proposal and experiment using could-accessible Bose Condensate platform Oqtant
Abstract: Weakly-interacting dilute Bose gases provide us not only deep insights into Bose-Einstein condensation (BEC) and superfluidity but also new avenues for exploring novel quantum phenomena. As an interesting phenomenon in a weakly-interacting BEC, the anomalous tunneling effect was theoretically predicted in the 2000s [1,2]. The anomalous tunneling effect means that low-energy Bogoliubov excitations in BEC tunnel through a potential barrier more easily at lower excitation energies, with perfect transmission occurring at the zero-energy limit. This phenomenon is related to superfluidity [3] and would be a universal property of Nambu-Goldstone modes associated with the spontaneous breaking of continuous symmetry [4]. However, the experimental observation of the anomalous tunneling effect is not realized so far.
A recent trend in quantum technology is to provide public online access to quantum platforms. As an example, the American corporation Infleqtion provides a cloud-accessible platform for a trapped BEC, named Oqtant [5]. Oqtant offers a Rb87 BEC trapped in a cigar-shaped potential. Users can manipulate repulsive potential in time and observe the time evolution of the density distribution of atoms. Our study aims to capture the signature of the anomalous tunneling effect using Oqtant.
In the theory part, we theoretically explore what we should observe within Oqtant specifications. Previous work revealed that, in a double-well trapped BEC, the dependence of the lowest frequency of collective modes on the barrier height in the center of a trap is related to the anomalous tunneling effect [6]. We show that the barrier-height dependences of the second and third lowest frequency of collective excitations are also related to the anomalous tunneling effect by solving the Gross-Pitaevskii equation. These frequencies would be measurable within the limitation of experiments in Oqtant.
In the experiment part, we report the experiment done in Oqtant. In our experiment setup, we apply the repulsive potential to excite collective modes for a short time and observe the time evolution of density distributions of atom clouds after removing the potential to evaluate the frequencies of collective modes. The above protocol was performed in the presence of a potential barrier near the center of the trap for various barrier heights. We discuss the relation between the observed barrier-height dependence of collective mode frequencies and the anomalous tunneling effect by comparing it with the simulation of the Gross-Pitaevskii equation.
[1] D. Kovrizhin, Phys. Lett. A 287, 392 (2001).
[2] Y. Kagan, D. L. Kovrizhin, and L. A. Maksimov, Phys. Rev. Lett. 90, 130402 (2003).
[3] I. Danshita, N. Yokoshi, and S. Kurihara, New J. Phys. 8, 44 (2006).
[4] Y. Kato, S. Watabe, and Y. Ohashi, J. Phys.: Conf. Series 400, 032036 (2012).
[5] https://www.infleqtion.com/oqtant.
[6] I. Danshita, K. Egawa, N. Yokoshi, and S. Kurihara, J. Phys. Soc. Jpn. 74, 3179 (2005).
Time and date: 15:00-, December 18, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Hamada, Yudai
Title: Large-N reduced model
Abstract: The SU(N) gauge theory requires a non-perturbative analysis in the low energy region due to the asymptotic freedom. Non-perturbative analysis of gauge theory is computationally complex and difficult, but it is known that in the large N limit, the theory can be simplified because only specific diagrams called planar diagrams contribute to physical quantities in the limit. Eguchi and Kawai showed that in the large N limit, SU(N) gauge theory could be equivalent to SU(N) matrix model (one-site lattice gauge theory). However, it was soon later shown that the equivalence of the theory breaks down in the weak coupling region due to the spontaneous breaking of Zn symmetry, which is essential for keeping the vacuum structure. Gonzalez-Arroyo and Okawa proposed the Twisted Eguchi Kawai model, where the twisted boundary condition is imposed on each dimension, and showed that physical quantities such as the string tension and the meson mass spectrum are calculated accurately. In this presentation, we introduce the results of calculations of physical quantities using the Twisted Eguchi Kawai model and show that it is an effective model of SU(N) gauge theory or QCD. We also mention the Adjoint Eguchi-Kawai model, which is another candidate of QCD matrix model.
Time and date: 15:00-, January 8, 2025
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: TBA
Title: TBA
Abstract: TBA
Time and date: 15:00-, January 22, 2025
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: TBA
Title: TBA
Abstract: TBA
Time and date: 15:00-, January 29, 2025
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: TBA
Title: TBA
Abstract: TBA
Seminars in the past
Time and date: 10:45-, April 17, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Ueda, Kenta (QMB)
Title: Anomalous tunneling of collective excitations in a Rydberg atomic system
Abstract: We study tunneling properties of low-energy excitations through a potential barrier in a spin-1/2 ferromagnetic XY model with dipole-dipole interactions, which has been realized with Rydberg atoms in an optical tweezer array [1]. In a system with spontaneous breaking of U(1) symmetry and short-range interaction, it is known that low-energy excitations exhibit anomalous tunneling behavior, in which the transmission probability increases with decreasing the excitation energy and the barrier is completely transparent at the zero-energy limit [2]. We aim to elucidate how the long-range nature of the dipole-dipole interaction affects such tunneling properties of the low-energy excitations. Specifically, within a mean field theory, we numerically calculate the transmission probability. As a result, we find that anomalous tunneling indeed occurs. We also discuss physical properties unique to the systems with long-range interactions.
[1] C. Chen et al., Nature, 616, 691 (2023).
[2] Yu. Kagan et al., Phys. Rev. Lett. 90, 130402 (2003).
Time and date: 10:45-, May 8, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Rammohan, Sidharth (QMB)
Title: Studying quantum phases in dipolar Bosons in planar array using cluster mean-field
Abstract: Dipolar bosons in optical lattices have emerged as a promising candidate for the quantum simulation of the condensed matter systems. These systems have been widely employed to study phase transitions in spin models because of their tunability with regard to the interaction strengths. These prospects now motivate scientists even more to explore for interesting phases in these kinds of systems, such Luttinger liquids. A theoretical study conducted in 2008 employed dipolar bosons in planar arrays to investigate the formation of the "sliding Luttinger liquid" (SLL) phase [1]. Since it is difficult to observe the SLL phase experimentally, the main objective of this work was to propose one such platform that would allow for the observation of the SLL phase utilizing dipolar bosons.
Despite the usual challenges associated with experimental advancements, experimental research has recently accelerated, and dipolar bosons can already be realized in optical lattices in laboratories. In 2023, Griener's group investigated the formation of dipolar quantum solids in a Hubbard quantum simulator [2]. Given the current status of the research field, we think that adopting a different approach, like a cluster mean-field method, to the problem will help to develop a computationally efficient solution and open the door to studying the real-time dynamics of the systems. We believe that the cluster mean field strategy introduced in [3] will work nicely for this.
While [3] studies the phase transition in a hardcore Bose-Hubbard model, this method can also be effectively applied to the dipolar boson in planar array case.Thus, in my talk, I will be talking about this proposal, focusing mostly on the concepts of the cluster mean-field approach from [3] and the current state of the exploration of phase transition in dipole bosons in planar array. Finally, I will provide a quick summary of the cluster mean-field approach's potential for this purpose at the end of my session.
[1] C. Kollath et.al., PRL 100, 130403 (2008).
[2] Lin Su et.al., Nature 622 (2023).
[3] D. Yamamoto et.al., PRB 86, 054516 (2012).
Time and date: 10:45-, May 15, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Danshita, Ippei (QMB)
Title: Creating Ising model with sign-inverted next-nearest-neighbor interaction by using Rydberg atoms:
Application to studies of surface criticality
Abstract: We propose a way to realize a system quantitatively described by a mixed-field Ising model, in which the sign of the next-nearest-neighbor (NNN) interaction is opposite to that of nearest-neighbor one [1], with use of Rydberg atoms in an optical-tweezer array. We theoretically show that the proposed system is suited to studying surface criticality associated with discontinuous quantum phase transitions [2,3]. Specifically, we derive the Ginzburg-Landau (GL) equation of the Ising model with the sign-inverted NNN interaction, which provides us with analytical insights of the surface criticality. By presenting numerical calculations based on a mean-field theory, we confirm the validity of the GL equation near the quantum tricritical point (QTCP). We also find that the logarithmic divergence behavior, which is a characteristic of the surface criticality, persists even away from the QTCP.
[1] Y. Kato and T. Misawa, Phys. Rev. B 92, 174419 (2015).
[2] R. Lipowsky, Phys. Rev. Lett. 49, 1575 (1982).
[3] I. Danshita, D. Yamamoto, and Y. Kato, Phys. Rev. A 91, 013603 (2015).
Time and date: 10:45-, May 22, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Yuri, Takumi (Osaka University)
Title: Construction of Many-Body Quantum Simulators Using Phonons in Trapped Ions
Abstract: Quantum simulation, which uses a well-controlled quantum system to simulate another quantum system [1], is gaining attention as a new method for exploring the properties of matter, and research in this area is becoming increasingly active. Arrays of ions trapped by electromagnetic fields in a vacuum are a promising choice for quantum simulation due to their high coherence and controllability. In quantum information processing using ions, both qubits (internal states) and phonons (vibrational quantum states of ions) play important roles. The internal states of cooled ions can be controlled with high precision, making them ideal quantum bits. Experiments using ion arrays, from a few to many ions, have primarily focused on the internal states [2~4]. On the other hand, the phonon degrees of freedom have more energy levels and can handle more information. However, due to the difficulty of controlling phonons, experiments focusing on phonons have so far only been reported with a few ions [5~8]. This research aims to conduct experimental studies of quantum many-body systems described by the Jaynes-Cummings- Hubbard (JCH) model using phonons in ion arrays. In this talk, as preparation for observing quantum phase transitions in the JCH model, I will present results from measurements of Rabi oscillations and sideband cooling with ten ions using a macroscopic light addressing beam, as well as results from Rabi oscillations and sideband cooling with 20 ions. I will also discuss plans for future research.
[1] R. P. Feynman, Intl. J. Theor. Phys. 21, 467(1982).
[2] B. P. Lanyon et. al., Science 334, 57 (2011).
[3] Q.-X. Nei et. al., PRL 128, 100504 (2022).
[4] M.-W. Li et. al., PRL 129, 140501(2022).
[5] E. K. Irish et. al., PRA 77, 033811(2008).
[6] K. Toyoda et. al., PRL 111, 160501(2013).
[7] R. Ohira et. al., PRA 100, 06031(R) (2019).
[8] S. Muralidharan et. al., PRA 104, 062410(2021).
Time and date: 10:45-, May 29, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Kokubo, Haruya (CMT)
Title: Size Dependence of the critical velocity of the superfluid wake
Abstract: Wake is a flow that occurs behind an obstacle moving through fluids, the dynamics of which is determined by the size and velocity of the obstacle, and is associated with various fluid phenomena such as vortex formation and turbulent transition. Wake in superfluid has been studied both experimentally and theoretically in weakly interacting Bose systems, and it has been shown that the critical velocity depends on the shape of the obstacle. In numerical simulations, Gaussian potentials are often used to simulate an optical laser obstacle. However, it is difficult to measure the dependence of the critical velocity on the shape of the obstacle due to the unclear effects of the tail in the Gaussian potential. In this work, we consider the wake with a plate-shaped obstacle to evaluate the dependence of the critical velocity on the size of the obstacle. In this talk, we describe the size dependence of the critical velocity by numerical simulations for a 2-dimensional Bose-Einstein condensate and present a method for quantitative evaluation of the critical velocity using the complex potential flow.
Time and date: 10:45-, June 5, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Andou, Kyousuke (CMT)
Title: Machine learning analysis of Fully Frustrated XY Model (FFXY) in two-dimensional square lattice
Abstract: The recent remarkable development of artificial neural networks in image recognition, image classification, and natural language processing has influenced many scientific fields, and the search for new discoveries by applying this technology to any problem has begun. In the field of classical statistical physics, machine learning algorithms were introduced to identify symmetry-broken phase [1-3], and in some of these cases neural networks were shown to be able to learn order parameters and other thermodynamic parameters [1,3]. Having been able to apply machine learning techniques to conventional phase transitions, it is natural to ask whether the algorithm can be applied to unconventional phase transitions. As an example of such a system, we focus on the 2D Fully Frustrated XY Model (FFXY) [4]. The FFXY model has an Ising model-like transition and an XY model-like transition.
The purpose of this study is to see if machine learning algorithms trained by the XY and Ising models can detect phase transitions for the two-dimensional square lattice FFXY model. The two neural networks used were trained from the spin configuration of the Ising model and the vortex configuration of the XY model. The FFXY model detects vortices from spin configurations obtained from Monte Carlo simulations, and inputs them to the learning model. Also introduce the graph-convolutional network (GCN) method for learning phase transitions.
[1] J. Carrasquilla and R. G. Melko, Nat. Phys. 13, 431 (2017).
[2] E. P. L. van Nieuwenburg, Y.-H. Liu, and S. D. Huber, Nat. Phys.13, 435 (2017).
[3] S. J. Wetzel and M. Scherzer, Phys. Rev. B 96, 184410 (2017).
[4] Stephen Teitel, 40 Years of Berezinskii–Kosterlitz–Thouless Theory (World Scientific), pp. 201-235 (2013).
Time and date: 10:45-, June 12, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Kasamatsu, Kenichi (CMT)
Title: Decay of two-dimensional quantum turbulence in binary Bose-Einstein condensates
Abstract: We study two-dimensional quantum turbulence in miscible binary Bose-Einstein condensates in either a harmonic trap or a steep-wall trap through the numerical simulations of the Gross-Pitaevskii equations. The turbulence is generated through a Gaussian stirring potential. When the condensates have unequal intracomponent coupling strengths or asymmetric trap frequencies, the turbulent condensates undergo a dramatic decay dynamics to an interlaced array of vortex-antidark structures, a quasiequilibrium state, of like-signed vortices with an extended size of the vortex core. The time of formation of this state is shortened when the parameter asymmetry of the intracomponent couplings or the trap frequencies is enhanced. The corresponding spectrum of the incompressible kinetic energy exhibits two noteworthy features: (i) a k^{-3} power law around the range of the wave number determined by the spin healing length (the size of the extended vortex core) and (ii) a flat region around the range of the wave number determined by the density healing length. The latter is associated with the small scale phase fluctuation relegated outside the Thomas-Fermi radius and is more prominent as the strength of intercomponent interaction approaches the strength of intracomponent interaction. We also study the impact of the intercomponent interaction to the cluster formation of like-signed vortices in an elliptical steep-wall trap, finding that the intercomponent coupling gives rise to the decay of the clustered configuration.Reference
Thudiyangal Mithun, Kenichi Kasamatsu, Bishwajyoti Dey, and Panayotis G. Kevrekidis, Phys. Rev. A 103, 023301 (2021)
Time and date: 10:45-, June 19, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Kondo, Yasushi (QC)
Title: Artificial Relaxation in NMR Experiment
Abstract: Environmental noises cause quantum systems to relax, which can significantly impact the precision of operations. Grasping the relaxation mechanism caused by environmental noises is a crucial step in the development of quantum technologies. Relaxations can be viewed as a process of information dissipation from the system into an environment with infinite degrees of freedom (DoF). This concept has led to the proposal and demonstration of a model of artificial relaxation in NMR experiments. While the current model has successfully captured the central idea of relaxation, we have observed recursive behavior due to the limited DoF of the ``artificial environment''. This limitation hampers its ability to describe relaxation accurately. This paper aims to overcome this limitation by extending the approach and studying the relaxation-like behavior through manipulating DoF. Our study promises to provide a more comprehensive understanding of the concept of relaxation.
Time and date: 10:45-, June 26, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Tezuka, Masaki (Kyoto University)
Title: Quantum error correction and spectral statistics in Sachdev-Ye-Kitaev-type long-range interacting models
Abstract: The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical model with maximally chaotic behavior at low temperatures. The model contains N fermions with random, all-to-all interactions and can be solved in the large-N limit. Since its proposal in 2015, the model has received significant attention due to its simplicity and the potential to study quantum gravity via the holographic principle. Numerous variants of the SYK model have been proposed, including a sparse version where only O(N) couplings are nonzero.
In this talk, we discuss our results [1] on the scrambling feature of SYK-type models including the binary-coupling sparse version [2], obtained by estimating the decoding error for the Hayden-Preskill protocol, where quantum information is embedded in a larger quantum system undergoing unitary dynamics. We also briefly introduce our
proposal for a further simplified model [3] that employs spin operators instead of Majorana fermions, presenting numerical results such as eigenenergy statistics and discussing the potential for quantum simulations.
[1] Y. Nakata and M. Tezuka, Phys. Rev. Research 6, L022021 (2024).
[2] M. Tezuka, O. Oktay, E. Rinaldi, M. Hanada, and F. Nori, Phys. Rev. B. 107, L081103 (2023).
[3] M. Hanada, A. Jevicki, X. Liu, E. Rinaldi, and M. Tezuka, J. High Energ. Phys. 05(2024)280.
Time and date: 10:45-, July 3, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Hamada, Yudai (Quantum Field Theory and Elementary Particle Theory Group)
Title: Fermion on the lattice
Abstract: When defining fermion fields on lattice spaces, a challenge known as the doubling problem arises. In this issue, taking the continuous limit of the fermion action on the lattice results in two fermionic degrees of freedom for each dimension. This is undesirable from the perspective of the physical properties of low-energy systems, such as asymptotic freedom. Moreover, according to the Nielsen-Ninomiya theorem, the fundamental properties of lattice fermion actions lead to a strong constraint that the doubling problem is necessarily unavoidable. In this presentation, we will explore lattice field theory and gauge invariance on the lattice. We will then examine Wilson fermions, which are commonly used to address the doubling problem, as well as domain-wall fermions, discussing their relationship with topological insulators.
Time and date: 10:45-, July 10, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Miyai, Seiichirou (QMB)
Title: Toward an analysis of correlation propagation in the Bose-Hubbard model with dipole-dipole interactions
Abstract: Rapid technological advances in preparing and manipulating cold atoms have offered unique opportunities for studies of non-equilibrium dynamics of quantum many-body systems. One of the fundamental questions to be addressed is how correlations propagate in these systems. Specifically, such correlation propagation dynamics have been analyzed in experiments with Bose gases in optical lattices [1,2], which can be well described by the Bose-Hubbard model.
Moreover, quantum simulations including long-range interactions such as dipole-dipole interactions, Rydberg atoms, and cold polar molecules have recently been developed [3,4,5,6]. These experiments have opened up new possibilities for studying effects of the long-range interactions on correlation propagation dynamics. In this work, we aim to theoretically investigate correlation spreading in the Bose-Hubbard model with dipole-dipole interactions using an approximation method based on Holsetin-Primakoff transformation [7]. In preparation for analyzing this model, this presentation will review the unconstrained fermion approximation (UF approximation) [8], which is a fundamental approximation used to analyze the 1D Bose-Hubbard model, and present a part of what has been learned about the Holstein-Primakoff transformation for the Bose-Hubbard model.
[1] Marc Cheneau, Peter Barmettler, Dario Poletti, et al., Nature 481, 484-487 (2012).
[2] Yosuke Takasu, Tomoya Yagami, Hiroto Asaka, et al., Science Advances 6, eaba9255 (2020).
[3] S. Baier, M. J. Mark, D. Petter, et al., Science 352, 201-205 (2016).
[4] Lin Su, Alexander Douglas, Michal Szurek, et al., Nature 622, 724-729 (2023).
[5] Sepehr Ebadi, Tout T. Wang, Harry Levine, et al., Nature 595, 227-232 (2021).
[6] Jason S. Rosenberg , Lysander Christakis, et al., Nature Physics 18, 1062-1066 (2022).
[7] S. D. Huber, E. Altman, et al., Physical Review B 75, 085106 (2007).
[8] Peter Barmettler, Dario Poletti, et al., Physical Review A 85, 053625 (2012).
Time and date: 10:45-, July 24, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Takegami, Hibiki (Kyoto University)
Title: Spin Green’s function approach to the Kitaev model
Abstract: The Kitaev model is a quantum spin system defined on a honeycomb lattice whose ground state has been shown to be a strictly spin liquid state [1,2]. Furthermore, the existence of fractionalized Majorana fermion excitations has been suggested. Although Majorana fermions are essential for obtaining the exact ground state, their physical interpretation in terms of spin operators remains unclear. In this study, we employ the Green’s function equation of motion approach for the analysis of the spin correlations in the isotropic Kitaev model while preserving SU(2) symmetry [3]. In this method, the temperature dependence of the spin-spin correlation function is obtained based on the short-range spin correlations. The spin Green's functions describe the propagation of the Z2 flux defined at each hexagonal plaquette. This approach aligns with the high-temperature expansion in the high-temperature regime. We present the temperature dependence of the nearest neighbor spin-spin correlation function, and show that its value is very close to the exact value at zero temperature. We also present some exact results for the spin-spin correlation function.
[1] A. Kitaev, Ann. Phys. 321, 2 (2006).
[2] Y. Motome and J. Nasu, J. Phys. Soc. Jpn. 89, 012002 (2020).
[3] H. Takegami and T. Morinari, arXiv:2405.13309
Time and date: 15:00-, September 25, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Yabuuchi, Yoshihiro (Osaka Metropolitan University)
Title: Quantum Turbulence Generated by Normal-Fluid Wall Turbulence in Co-flow of Superfluid 4He
Abstract: While the universal logarithmic law of the wall is crucial in the study of classical turbulence, there are still not enough studies on quantum turbulence. Recently, Guo’s group [1] observed the logarithmic law of the normal component in co-flowing superfluid 4He, where the mean velocities of the superfluid and normal fluid are in the same direction. Interestingly, the Kármán constant κ obtained by the experiment is different from the universal value κ = 0.41 of classical turbulence. To identify the cause of the change, we consider the effect of the mutual friction in a vortex tangle state under the co-flow. We performed simulations of the vortex filament model [2] between two parallel plates. Our mean velocity profile of the normal fluid consists of the viscous sublayer, the logarithmic region, and the bulk region. To introduce the turbulence of the normal component, we added an ABC flow [3] to the mean velocity profile. It is found that the turbulence in the normal component is required to create and maintain the vortex tangle under co-flow, unlike the counterflow. Our simulation shows that polarized vortex filaments are collected near the wall. This is a unique feature of the co-flow turbulence. We will discuss how the spatial distribution of mutual friction may affect the change in the Kármán constant.
[1] W. Guo, private communications
[2] K. W. Schwarz, Phys. Rev. B, Vol 38, 2398 (1988)
[3] T. Dombre, et.al., J. Fluid. Mech., Vol 167, 353 (1986)
Time and date: 15:00-, October 2, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker 1: Nishizawa, Ryoya (QMB)
Title: Only in Japanese
Abstract: Only in Japanese
Speaker 2: Morimoto, Rikuto (QMB)
Title: Only in Japanese
Abstract: Only in Japanese
Time and date: 15:00-, October 9, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker 1: Odagawa, Harumu (QMB)
Title: Only in Japanese
Abstract: Only in Japanese
Time and date: 15:00-, October 9, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker 2: Nakai, Nanami (QMB)
Title: Only in Japanese
Abstract: Only in Japanese
Time and date: 15:00-, October 9, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker 3: Ota, Yuichi (QMB)
Title: Only in Japanese
Abstract: Only in Japanese
Time and date: 15:00-, October 11, 2024
Room: Simulation and Experiment Room, 3rd Floor, 31 East Bldg. + Webcast via Zoom
Speaker: Murayama, Taiyou (QMB)
Title: Only in Japanese
Abstract: Only in Japanese