Article
Physics, Multidisciplinary
I Bouchoule, J. Dubail
Summary: This study reveals that the Tan relation breaks down in the one-dimensional Bose gas with contact repulsion for a peculiar class of stationary states. These states, characterized by a rapidity distribution that decreases as 1/|p|^4, exist due to the infinite number of conserved quantities in the system. The rapidity tail in the momentum distribution adds to the usual Tan contact term, and is produced by atom losses leading to ghost singularities in the wave function.
PHYSICAL REVIEW LETTERS
(2021)
Article
Optics
Maciej Lebek, Andrzej Syrwid, Piotr T. Grochowski, Kazimierz Rzazewski
Summary: We analyze the dynamics of one-dimensional quantum gases with strongly attractive contact interactions and find that attractive forces can effectively act as strongly repulsive ones. Our findings extend the theoretical results on the super-Tonks-Girardeau gas and have implications for the domain stability in a two-component Fermi gas. We also discuss the effects of finite-range interactions and analyze the universality of the presented results. Moreover, our conclusions support the existence of metastable quantum droplets in the regime of strongly attractive contact and attractive dipolar interactions.
Article
Optics
Masaya Kunimi, Ippei Danshita
Summary: By investigating the one-dimensional Bose-Hubbard model under a trapping potential, nonergodic behavior was found through calculating level spacing statistics, time evolution of number imbalance, and entanglement entropy. The trapping potential enhances nonergodicity even when it is weak compared to the hopping energy, and an effective spin-1/2 XXZ Hamiltonian demonstrates how the trapping potential is strengthened by on-site interactions to enhance nonergodic behavior. Real-time dynamics calculations under the effective Hamiltonian show a logarithmic growth of entanglement entropy over time.
Article
Mathematics, Interdisciplinary Applications
Bin Liu, Wan Bo, Jiandong Liu, Juan Liu, Jiu-lin Shi, Jinhui Yuan, Xing-Dao He, Qiang Wu
Summary: This paper investigates the dynamic properties of dissipative solitons based on the CGL model, studying the harmonic and damped motion dynamics by considering the role of potential wells and the impact of viscosity. Numerical analysis was conducted to analyze the changes in period and momentum under different potential slopes and oscillating amplitudes.
CHAOS SOLITONS & FRACTALS
(2021)
Article
Multidisciplinary Sciences
Xingran Xu, Tanjung Krisnanda, Timothy C. H. Liew
Summary: In this study, we investigate atoms in two periodic potentials induced by different lasers, one of which is coupled to a mechanical membrane via radiation pressure force. The dynamics of the atoms' position and momentum are treated classically, while the membrane, the cavity field, and the intrinsic two-level atoms are treated quantum mechanically. We find that the mean excitation of the three systems can be stable, periodically oscillating, or in a chaotic state depending on the strength of the coupling between them. We define regular, limit cycle, and chaotic phases and demonstrate how to achieve these phases by manipulating the field-membrane and field-atom coupling strengths. Additionally, we compute observable quantities such as position, momentum, and correlation functions that reflect the system's phase. Our proposal presents a new approach to generate and control limit cycle and chaotic phases in a well-established atom-optomechanics system.
SCIENTIFIC REPORTS
(2022)
Article
Optics
Clement Duval, Nicolas Cherroret
Summary: We theoretically study the non-equilibrium dynamics of a two-dimensional uniform Bose superfluid after a sudden quantum change, from its short-term coherent dynamics to long-term thermalization. By using a quantum hydrodynamic description and a Keldysh field formalism, we derive quantum kinetic equations for the low-energy phononic excitations of the system and characterize their normal and anomalous momentum distributions. We apply this framework to the interaction change of a 2D Bose gas and investigate the subsequent dynamics of its quantum structure factor and coherence function, both of which have recently been measured experimentally. Our results indicate that, in two dimensions, an independent quasiparticle description quickly becomes inaccurate and should be questioned when dealing with non-equilibrium scenarios.
Article
Physics, Applied
Angang Liang, Shuyu Zhou, Yu Xie, Mingshan Huang, Xinping Xu, Su Fang, Dijun Chen, Tang Li, Bin Wang, Weibiao Chen, Liang Liu
Summary: We experimentally verified our prior theoretical work by using matter-wave interference to measure the ultranarrow momentum width of an optically trapped Bose-Einstein condensate (BEC) in situ. The observed interference fringes exhibited slight deviations from our simplified theory. We found that the discrepancy was caused by the combined effects of the mean-field interaction and spatial density modulation of BEC.
PHYSICAL REVIEW APPLIED
(2023)
Article
Engineering, Mechanical
Zhi Tan, Huilin Gong, Bo Zhu, Honghua Zhong, Shufang Hu
Summary: We study the construction and dynamics of 2D anisotropic vortex-bright soliton in spinor dipolar Bose-Einstein condensates. The optical lattice and dipole-dipole interaction support stable anisotropic VB solitons even for small values of norm. By adjusting the depth of the lattice, one can control the stability of the solitons. Additionally, the collision dynamics of kicked solitons can lead to a transition from the bright component to the vortex component.
NONLINEAR DYNAMICS
(2023)
Article
Physics, Fluids & Plasmas
J. Klinger, A. Barbier-Chebbah, R. Voituriez, O. Benichou
Summary: This study examines the joint distribution of the first-passage time to a target and the number of distinct sites visited during the search process. The results provide explicit expressions and a general scaling form for this joint distribution, which can be applied to various problems such as the Rosenstock trapping model and the persistence properties of self-interacting random walks.
Article
Physics, Multidisciplinary
H. A. J. Middleton-Spencer, N. G. Parker, L. Galantucci, C. F. Barenghi
Summary: A method to detect the presence and depth of dark solitons in repulsive one-dimensional harmonically trapped Bose-Einstein condensates is presented. The shift of density in Fourier space directly maps onto the depth of the soliton in single soliton systems, and combining spectral methods with imaging techniques allows for determination of soliton characteristics in multi-soliton systems. The detection of solitons by spectral shift is verified to work in the presence of waves induced by density engineering methods, with implications discussed for vortex detection in three-dimensional Bose-Einstein condensates.
Article
Physics, Multidisciplinary
Kangkang Li, Zhaoxin Liang
Summary: In this study, we investigate the effects of dimensional crossover in a three-dimensional Rabi-coupled two-component BEC. We show that the change in dimensionality leads to a transition in quantum fluctuations from three-dimensional to quasi-two-dimensional or one-dimensional behavior, with different effects of Rabi-like and inter- and intra- interaction coupling constants.
COMMUNICATIONS IN THEORETICAL PHYSICS
(2023)
Article
Physics, Multidisciplinary
Matjaz Kebric, Umberto Borla, Ulrich Schollwoeck, Sergej Moroz, Luca Barbiero, Fabian Grusdt
Summary: Coupling dynamical charges to gauge fields leads to non-local interactions and confinement potential, resulting in the formation of mesons and emergence of Luttinger liquids. Including nearest-neighbour (NN) interactions among charges stabilizes different Mott-insulating states. However, the rich phase diagrams in these models have not been fully explored and lack comprehensive theoretical explanation.
NEW JOURNAL OF PHYSICS
(2023)
Article
Quantum Science & Technology
N. Dupont, G. Chatelain, L. Gabardos, M. Arnal, J. Billy, B. Peaudecerf, D. Sugny, D. Guery-Odelin
Summary: This study presents an efficient design of quantum optimal-control protocols for manipulating the motional states of atomic Bose-Einstein condensate in a one-dimensional optical lattice. By varying the lattice position, a wide variety of targets can be reached, including single or multiple quantized momentum states with full control on the relative phase between different momentum components.
Article
Nanoscience & Nanotechnology
Zhiming Chen, Jianhua Zeng
Summary: This study theoretically and numerically investigates the formation, properties, and dynamics of matter-wave localized gap modes in a one-dimensional nanoscale darkstate optical lattice. It reveals that localized modes in deeply subwavelength adiabatic lattices exhibit a cusplike mode, contrary to previously reported results in conventional deep optical lattices.
Article
Mechanics
Yanming Tao, Changliang Lai, Xin Fu, Jie Peng, Wugui Jiang, Hualin Fan
Summary: In this paper, an improved equivalent method is proposed for predicting the axial compression stiffness and strength of one dimensional (1D) lattice IsoTruss column structures. The traditional method neglects the contribution of pyramidal elements in calculating the axial stiffness. In this research, the cylindrical shell is transformed into a plane lattice structure and the contribution of helical members is fully considered. The theoretical predictions of the improved method are compared to finite element modeling (FEM) calculations, and the error is within 1%, indicating a significant improvement in accuracy.
COMPOSITE STRUCTURES
(2023)
Article
Multidisciplinary Sciences
Yosuke Takasu, Tomoya Yagami, Hiroto Asaka, Yoshiaki Fukushima, Kazuma Nagao, Shimpei Goto, Ippei Danshita, Yoshiro Takahashi
Article
Physics, Multidisciplinary
Ryui Kaneko, Yoshihide Douda, Shimpei Goto, Ippei Danshita
Summary: Motivated by recent experiments with Rydberg atoms, we accurately mapped out the groundstate phase diagram of the antiferromagnetic Ising model on a square lattice with longitudinal and transverse magnetic fields using the quantum Monte Carlo method. We found that for a small nonzero transverse field, the transition longitudinal field remains nearly constant, and there is a narrow region in the phase diagram where the system exhibits reentrant transitions between disordered and antiferromagnetic phases with increasing transverse field. Our phase diagram serves as a useful benchmark for quantum simulation of a Rydberg atom system.
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
(2021)
Article
Physics, Multidisciplinary
Ryui Kaneko, Ippei Danshita
Summary: This study utilizes tensor-network methods on classical computers to investigate the dynamics of the two-dimensional Bose-Hubbard model, comparing it to known limits and recent experiments. It also covers the intermediate region of moderate interactions.
COMMUNICATIONS PHYSICS
(2022)
Article
Optics
Mathias Mikkelsen, Ippei Danshita
Summary: It has been discovered that noise correlations measured by time-of-flight imaging in cold-atom experiments can probe the spin structure factor in the Mott-insulating regime of SU(2) Hubbard models. In this study, the mathematical relation between noise correlations and spin structure factor in the strong-interaction limit of SU(N) Hubbard models at any integer filling was derived. Numerical calculations based on the ground states of one-dimensional SU(N) Fermi-Hubbard models for 2≤N≤6 using the density-matrix renormalization-group method confirmed this relation in the regime of strong interactions. It was shown that the deviation between actual noise correlations and those obtained from the spin structure factor scaled as (t/U)^2 for rho = 1 at intermediate and large lattice sizes.
Article
Optics
Daichi Kagamihara, Ryui Kaneko, Shion Yamashika, Kota Sugiyama, Ryosuke Yoshii, Shunji Tsuchiya, Ippei Danshita
Summary: We investigate the time-dependent Renyi entanglement entropy after a quantum quench starting from the Mott-insulating and charge-density-wave states in a one-dimensional free boson system. The second Renyi entanglement entropy is found to be the negative of the logarithm of the permanent of a matrix consisting of timedependent single-particle correlation functions. From this relation and a permanent inequality, we obtain rigorous conditions for satisfying the volume-law entanglement growth. We also succeed in calculating the time evolution of the Renyi entanglement entropy in extremely large systems by brute-force computations of the permanent. We discuss possible applications of our findings to the real-time dynamics of noninteracting bosonic systems.
Article
Materials Science, Multidisciplinary
Shimpei Goto, Ryui Kaneko, Ippei Danshita
Summary: We investigate the sampling efficiency for simulating quantum many-body systems at finite temperatures using initial sampling states generated by applying Trotter gates to random phase product states (RPPSs). The number of Trotter gate applications is proportional to the system size, making the preparation easily achievable in fault-tolerant quantum computers. When the Trotter gates are made from a nonintegrable Hamiltonian, we observe an increase in sampling efficiency with system size, indicating that almost ideal sampling of initial states can be achieved in sufficiently large systems. We also find that the sampling efficiency is comparable to that obtained by a thermal pure quantum (TPQ) state method in some cases, suggesting that chaotic Hamiltonian dynamics can transform RPPSs into an alternative to TPQ states for evaluating thermal expectation values.
Article
Optics
Mathias Mikkelsen, Ryui Kaneko, Daichi Kagamihara, Ippei Danshita
Summary: The ground-state phase diagram of the one-dimensional attractive Fermi-Hubbard model with spin-dependent hoppings and an on-site Rabi coupling is investigated using the density matrix renormalization group method. It is shown that even in the limit of one component being immobile, the pair superfluidity can be resonantly enhanced when the Rabi coupling is on the order of the interaction strength just before the system starts to strongly polarize. An effective spin-1/2 XXZ model is derived to understand the ground-state properties in the strong attraction limit.
Article
Optics
Yoshihiro Machida, Ippei Danshita, Daisuke Yamamoto, Kenichi Kasamatsu
Summary: In this theoretical study, we investigate the dynamical formation of a self-bound quantum droplet in a two-component Bose-Hubbard system with an external trap potential. The behavior of the droplet can be induced by controlling the trap potential, and can be qualitatively described by an effective Ginzburg-Landau field theory.
Article
Physics, Multidisciplinary
Kazuma Nagao, Yosuke Takasu, Yoshiro Takahashi, Ippei Danshita
Summary: The study utilizes the SU(3) truncated Wigner approximation to analyze the far-from-equilibrium quantum dynamics of strongly interacting Bose gases in an optical lattice. Comparisons with exact computations show that both the SU(3) TWA and Gaussian approximation can quantitatively capture quantum dynamics on a specific timescale. However, noticeable deviations between theories and experiments indicate the need for proper consideration of the effects of spatial inhomogeneity.
PHYSICAL REVIEW RESEARCH
(2021)
Correction
Optics
Ippei Danshita, Daisuke Yamamoto, Yasuyuki Kato
Article
Materials Science, Multidisciplinary
Shimpei Goto, Ryui Kaneko, Ippei Danshita
Summary: A numerical method based on matrix product states was developed to simulate quantum many-body systems at finite temperatures without importance sampling. By adding Trotter gates to the RPPS approach, the sampling efficiency significantly increased and results were consistent with the purification approach. The method was able to simulate a frustrated spin-1/2 system where the purification approach failed.
Article
Physics, Multidisciplinary
Masaya Kunimi, Kazuma Nagao, Shimpei Goto, Ippei Danshita
Summary: By analyzing the dynamics of quantum spin systems, it is found that the validity timescale of DTWA increases algebraically with the range of the step function type interaction in both one- and two-dimensional systems.
PHYSICAL REVIEW RESEARCH
(2021)
Article
Physics, Multidisciplinary
Shimpei Goto, Ippei Danshita
PHYSICAL REVIEW RESEARCH
(2020)
Article
Physics, Multidisciplinary
Yusuke Ozaki, Kazuma Nagao, Ippei Danshita, Kenichi Kasamatsu
PHYSICAL REVIEW RESEARCH
(2020)
Article
Optics
Shimpei Goto, Ippei Danshita
