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Related papers: Quantum chaos and thermalization in gapped systems

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In this paper, we investigate the distinctions between realistic quantum chaotic systems and random models from the perspective of observable properties, particularly focusing on the eigenstate thermalization hypothesis (ETH). Through…

Chaotic Dynamics · Physics 2025-04-11 Xiao Wang , Jiaozi Wang , Wen-ge Wang

Two identical finite quantum systems prepared initially at different temperatures, isolated from the environment, and subsequently brought into contact are demonstrated to relax towards Gibbs-like quasi-equilibrium states with a common…

Statistical Mechanics · Physics 2011-01-10 Alexey V. Ponomarev , Sergey Denisov , Peter Hänggi

The strong eigenstate thermalization hypothesis (ETH) provides a sufficient condition for thermalization and equilibration. Although it is expected to be hold in a wide class of highly chaotic theories, there are only a few analytic…

High Energy Physics - Theory · Physics 2026-01-19 Taishi Kawamoto

Thermalization in highly excited quantum many-body system does not necessarily mean a complete memory loss of the way the system was formed. This effect may pave a way for a quantum computing, with a large number of qubits $n\simeq…

Quantum Physics · Physics 2008-12-19 M. Bienert , J. Flores , S. Yu. Kun , T. H. Seligman

We use the quantum action to study quantum chaos at finite temperature. We present a numerical study of a classically chaotic 2-D Hamiltonian system - harmonic oscillators with anharmonic coupling. We construct the quantum action…

Quantum Physics · Physics 2016-08-16 L. A. Caron , H. Jirari , H. Kröger , X. Q. Luo , G. Melkonyan , K. J. M. Moriarty

The transition from arbitrary to chaotic fluctuation properties in quantum systems is studied in a random matrix model. It is assumed that the Hamiltonian can be written as the sum of an arbitrary and a chaos producing part. The Gaussian…

Condensed Matter · Physics 2009-10-28 T. Guhr

Thermalization in open systems coupled to macroscopic environments is usually analyzed from the perspective of relaxation of the reduced state of the system to the equilibrium state. Less emphasis is given to the change of the state of the…

Statistical Mechanics · Physics 2022-07-19 Krzysztof Ptaszynski , Massimiliano Esposito

We study the evolution of a system of interacting ultracold bosons, which presents nonlinear, chaotic, behaviors in the limit of very large number of particles. Using the spectral entropy as an indicator of chaos and three different…

Quantum Gases · Physics 2015-06-23 Benoit Vermersch , Jean Claude Garreau

We study the problem of the approach to equilibrium in a macroscopic quantum system in an abstract setting. We prove that, for a typical choice of "nonequilibrium subspace", any initial state (from the energy shell) thermalizes, and in fact…

Statistical Mechanics · Physics 2014-05-19 Sheldon Goldstein , Takashi Hara , Hal Tasaki

We analyze the quantum chaotic behavior of the Yukawa-SYK model as a function of filling and temperature, which describes random Yukawa interactions between $N$ complex fermions and $M$ bosons in zero spatial dimensions, for both the…

Strongly Correlated Electrons · Physics 2023-05-25 Andrew Davis , Yuxuan Wang

There is much interest in how quantum systems thermalize after a sudden change, because unitary evolution should preclude thermalization. The eigenstate thermalization hypothesis resolves this because all observables for quantum states in a…

Quantum Gases · Physics 2014-08-22 H. Fotso , K. Mikelsons , J. K. freericks

The investigation of thermalization in isolated quantum many-body systems has a long history, dating back to the time of developing statistical mechanics. Most quantum many-body systems in nature are considered to thermalize, while some…

Statistical Mechanics · Physics 2021-08-25 Naoto Shiraishi , Keiji Matsumoto

Quantum circuits have become a powerful tool in the study of many-body quantum physics, providing insights into both fast-thermalizing chaotic and non-thermalizing integrable many-body dynamics. In this work, we explore a distinct…

Disordered Systems and Neural Networks · Physics 2024-10-31 Richard D. Barney , Yunxiang Liao , Victor Galitski

Quantum chaos is presented as a paradigm of information processing by dynamical systems at the bottom of the range of phase-space scales. Starting with a brief review of classical chaos as entropy flow from micro- to macro-scales, I argue…

Quantum Physics · Physics 2019-05-01 Thomas Dittrich

The thermovoltage of a chaotic quantum dot is measured using a current heating technique. The fluctuations in the thermopower as a function of magnetic field and dot shape display a non-Gaussian distribution, in agreement with simulations…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 S. F. Godijn , S. Moeller , H. Buhmann , L. W. Molenkamp , S. A. van Langen

We introduce a wide class of quantum maps that arise in collisional reservoirs and are able to thermalize a system if they operate in conjunction with an additional dephasing mechanism. These maps describe the effect of collisions and…

Quantum Physics · Physics 2023-05-31 Jorge Tabanera-Bravo , Juan M. R. Parrondo , Massimiliano Esposito , Felipe Barra

The grand canonical thermodynamics of a bosonic system is studied in order to identify the footprint of its own high-density quantum phase transition. The phases displayed by the system at zero temperature establish recognizable patterns at…

Quantum Physics · Physics 2022-04-13 Miguel Alvarez , Jose Reslen

We consider 1D integrable systems supporting ballistic propagation of excitations, perturbed by a localised defect that breaks most conservation laws and induces chaotic dynamics. Focusing on classical systems, we study an…

Statistical Mechanics · Physics 2022-03-09 Giuseppe Del Vecchio Del Vecchio , Andrea De Luca , Alvise Bastianello

Quantum groups have a long and fruitful history of applications in integrable systems. Can quantum group symmetries exist in the absence of integrability? We provide an explicit example of a system with quantum group global symmetry which…

High Energy Physics - Theory · Physics 2026-01-27 Victor Gorbenko , Aleksandr Zhabin

In this study, we reveal nontrivial quantum physics in an infinite-temperature system. By performing an unbiased quantum Monte Carlo simulation, we study a hybrid model composed of hard-core bosons, whose hopping amplitude is mediated by…

Statistical Mechanics · Physics 2025-09-03 Tengzhou Zhang , Zhizhen Chen , Zi Cai
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