Nonergodic dynamics of the one-dimensional Bose-Hubbard model with a trapping potential

• URL: http://arxiv.org/abs/2108.01238v3
• Date: Wed, 27 Oct 2021 23:36:51 GMT
• Title: Nonergodic dynamics of the one-dimensional Bose-Hubbard model with a trapping potential
• Authors: Masaya Kunimi and Ippei Danshita
• Abstract summary: We investigate nonergodic behavior of the one-dimensional Bose-Hubbard model. We compute the level spacing statistic, the time evolution of the number imbalance between the odd and the even sites, and the entanglement entropy.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate nonergodic behavior of the one-dimensional Bose-Hubbard model, which emerges in the unitary quantum dynamics starting with initial-state $|\psi(0)\rangle=|\cdots 2020\cdots \rangle$ in the presence of a trapping potential. We compute the level spacing statistic, the time evolution of the number imbalance between the odd and the even sites, and the entanglement entropy in order to show that the system exhibits nonergodicity in a strongly interacting regime. The trapping potential enhances nonergodicity even when the trapping potential is weak compared to the the hopping energy. We derive the effective spin-1/2 {\it XXZ} Hamiltonian for the strongly interacting regimes by using a perturbation method. On the basis of the effective Hamiltonian, we show that the trapping potential is effectively strengthened by the on-site interaction, leading to the enhancement of the nonergodic behavior. We also calculate the real-time dynamics under the effective Hamiltonian and find that the entanglement entropy grows logarithmically in time.

Related papers

• Exploring Hilbert-Space Fragmentation on a Superconducting Processor [23.39066473461786]
  Isolated interacting quantum systems generally thermalize, yet there are several counterexamples for the breakdown of ergodicity. Recently, ergodicity breaking has been observed in systems subjected to linear potentials, termed Stark many-body localization. Here, we experimentally explore initial-state dependent dynamics using a ladder-type superconducting processor with up to 24 qubits.
  arXiv  Detail & Related papers  (2024-03-14T04:39:14Z)
• Is the effective potential, effective for dynamics? [8.273855626116564]
  Energy conservation leads to the emergence of highly excited, entangled stationary states from the dynamical evolution. The results suggest novel characterization of equilibrium states in terms of order parameter vs. energy density.
  arXiv  Detail & Related papers  (2024-03-11T18:19:06Z)
• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays [41.94295877935867]
  In the noninteracting case, quantized Thouless pumps can only occur when a topological singularity is encircled adiabatically. In the presence of interactions, such topological transport can even persist for exotic paths in which the system gets arbitrarily close to the noninteracting singularity.
  arXiv  Detail & Related papers  (2024-02-14T16:58:21Z)
• Real-time dynamics of false vacuum decay [49.1574468325115]
  We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
  arXiv  Detail & Related papers  (2023-10-06T12:44:48Z)
• Disorder-Induced Entanglement Phase Transitions in Non-Hermitian Systems with Skin Effects [20.88126933913389]
  We study the dynamics of a many-body state of free fermions in the paradigmatic Hatano-Nelson model with open boundaries. We find that the area-law behavior of the entanglement entropy in the pristine Hatano-Nelson model develops into a logarithmic scaling for small disorder strength.
  arXiv  Detail & Related papers  (2023-05-21T04:34:05Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Localized dynamics following a quantum quench in a non-integrable system: An example on the sawtooth ladder [0.0]
  We study the quench dynamics of interacting hardcore bosons on a sawtooth ladder. We identify a set of initial states for which this system exhibits characteristic signatures of localization. We argue that the localized dynamics originates from an interaction induced quantum interference.
  arXiv  Detail & Related papers  (2020-10-29T13:28:33Z)
• Particle mixing and the emergence of classicality: A spontaneous-collapse-model view [0.0]
  We show that spontaneous collapse can induce the decay dynamics in both quantum state and master equations. We show that the decay property of a flavor-oscillating system is intimately connected to the time (a)symmetry of the noise field underlying the collapse mechanism.
  arXiv  Detail & Related papers  (2020-08-25T16:07:59Z)
• Localization of Rung Pairs in Hard-core Bose-Hubbard Ladder [13.46516066673]
  We study the rung-pair localization of the Bose-Hubbard ladder model without quenched disorder. In the hard-core limit, there exists a rung-pair localization both at the edges and in the bulk. Our results reveal another interesting type of disorder-free localization related to a zero-energy flat band.
  arXiv  Detail & Related papers  (2020-05-18T08:40:40Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.