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We analyse the stationary current of Bose particles across the Bose-Hubbard chain connected to a battery, focusing on the effect of inter-particle interactions. It is shown that the current magnitude drastically decreases as the strength of…

Quantum Physics · Physics 2023-07-17 P. S. Muraev , D. N. Maksimov , A. R. Kolovsky

The probabilistic character of the measurement process is one of the most puzzling and fascinating aspects of quantum mechanics. In many-body systems quantum mechanical noise reveals non-local correlations of the underlying many-body…

Other Condensed Matter · Physics 2016-02-02 S. Hofferberth , I. Lesanovsky , T. Schumm , A. Imambekov , V. Gritsev , E. Demler , J. Schmiedmayer

This chapter discusses the conditions and timescales under which isolated many-body quantum systems, initially far from equilibrium, ultimately reach thermal equilibrium. We also examine quantities that, during the relaxation process,…

Statistical Mechanics · Physics 2025-04-16 Isaías Vallejo-Fabila , Lea F. Santos

Searching for nonthermalized dynamics in interacting quantum systems is not only of fundamental theoretical interest in nonequilibrium quantum physics, but also of immense practical significance in quantum information processing. In this…

Quantum Gases · Physics 2020-02-26 Yikai Chen , Zi Cai

Periodically driven systems are a common topic in modern physics. In optical lattices specifically, driving is at the origin of many interesting phenomena. However, energy is not conserved in driven systems, and under periodic driving,…

Statistical Mechanics · Physics 2017-11-27 Anton Quelle , Cristiane Morais Smith

Evading the Mermin-Wagner-Hohenberg no-go theorem and revisiting with rigor the ideal Bose gas confined in a square box, we explore a discrete phase transition in two spatial dimensions. Through both analytic and numerical methods we verify…

Quantum Gases · Physics 2015-01-27 Wonyoung Cho , Sang-Woo Kim , Jeong-Hyuck Park

We numerically investigate the relaxation dynamics in an isolated quantum system of interacting bosons trapped in a double-well potential after an integrability breaking quench. Using the statistics of the spectrum, we identify the…

Quantum Gases · Physics 2015-09-14 Jayson G. Cosme

We study the entanglement properties in non-equilibrium quantum systems with the SU(1, 1) structure. Through M\"obius transformation, we map the dynamics of these systems following a sudden quench or a periodic drive onto three distinct…

Quantum Gases · Physics 2025-02-12 Heng-Hsi Li , Po-Yao Chang

Thermalization of isolated quantum systems is a long-standing fundamental problem where different mechanisms are proposed over time. We contribute to this discussion by classifying the diverse quench dynamical behaviours of spin-1…

Quantum Physics · Physics 2018-02-07 Ceren B. Dağ , Sheng-Tao Wang , L. -M. Duan

Nonequilibrium dynamics and effective thermalization are studied in a resonant tunneling scenario via multilevel Landau-Zener crossings. Our realistic many-body system, composed of two energy bands, naturally allows a separation of degrees…

Quantum Gases · Physics 2014-05-19 Carlos A. Parra-Murillo , Javier Madroñero , Sandro Wimberger

This work develops a quantum control application of many-body quantum chaos for ultracold bosonic gases trapped in optical lattices. It is long known how to harness exponential sensitivity to changes in initial conditions for control…

A fundamental challenge is to understand nonequilibrium statistical mechanics starting from microscopic chaos in the equations of motion of a many-particle system. In this review we summarize recent theoretical advances along these lines.…

Chaotic Dynamics · Physics 2010-01-04 R. Klages

While isolated quantum systems generally thermalize after long-time evolution, there are several exceptions defying thermalization. A notable mechanism of such nonergodicity is the Hilbert space fragmentation (HSF), where the Hamiltonian…

This work investigates the emergent thermalization regimes in a chaotic Tavis-Cummings (TC) model and their implications in quantum spectroscopy. While the TC model is a cornerstone of cavity quantum electrodynamics, traditional treatments…

Quantum Physics · Physics 2026-04-28 Sameer Dambal , Eric R. Bittner

In this paper we study the thermal equilibration of small bipartite Bose-Hubbard systems, both quantum mechanically and in mean-field approximation. In particular we consider small systems composed of a single-mode "thermometer" coupled to…

Quantum Physics · Physics 2019-06-26 Ralf Bürkle , James R. Anglin

Time-periodically driven systems are a versatile toolbox for realizing interesting effective Hamiltonians. Heating, caused by excitations to high-energy states, is a challenge for experiments. While most setups address the relatively…

Quantum Gases · Physics 2018-04-10 Tao Qin , Walter Hofstetter

We study the temporal expansion of an ultracold Bose gas in two-dimensional, square optical lattices. The gas is described by the Bose-Hubbard model deep in the superfluid regime, with initially all bosons condensed in the central site of…

Quantum Gases · Physics 2021-03-17 Mauricio Trujillo-Martinez , Anna Posazhennikova , Johann Kroha

We study the emergence and stability of a prethermal phase in an integrable many-body system subjected to a Fibonacci drive. Despite not being periodic, Fibonacci drives have been shown to introduce dynamical constraints due to their…

Statistical Mechanics · Physics 2024-04-11 Souradeep Ghosh , Sourav Bhattacharjee , Souvik Bandyopadhyay

Interactions in quantum systems may induce transitions to exotic correlated phases of matter which can be vulnerable to coupling to an environment. Here, we study the stability of a Bose-Hubbard chain coupled to a bosonic bath at zero and…

Quantum Gases · Physics 2018-05-18 Chu Guo , Ines de Vega , Ulrich Schollwöck , Dario Poletti

The ongoing quest for understanding nonequilibrium dynamics of complex quantum systems underpins the foundation of statistical physics as well as the development of quantum technology. Quantum many-body scarring has recently opened a window…

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