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The evaluation of the specific heat of an open, damped quantum system is a subtle issue. One possible route is based on the thermodynamic partition function which is the ratio of the partition functions of system plus bath and of the bath…

量子物理 · 物理学 2009-06-10 Gert-Ludwig Ingold , Peter Hänggi , Peter Talkner

Using Liouville space and superoperator formalism we consider pure stationary states of open and dissipative quantum systems. We discuss stationary states of open quantum systems, which coincide with stationary states of closed quantum…

量子物理 · 物理学 2007-05-23 Vasily E. Tarasov

Relaxation in open quantum systems is fundamental to quantum science and technologies. Yet, the influence of the initial state on relaxation remains a central, largely unanswered question. Here, by systematically characterizing the…

量子物理 · 物理学 2026-01-12 Ruicheng Bao

Using Liouville space and superoperator formalism we consider pure stationary states of open and dissipative quantum systems. We discuss stationary states of open quantum systems, which coincide with stationary states of closed quantum…

量子物理 · 物理学 2009-11-10 Vasily E. Tarasov

The state function entropy and its quantum thermodynamical implication for two typical dissipative systems with anomalous spectral densities are studied by investigating on their low-temperature quantum behavior. In all cases it is found…

统计力学 · 物理学 2015-06-03 Chun-Yang Wang , An-Qi Zhao , Xiang-Mu Kong , Jing-Dong Bao

We study properties of isolated integrable quantum systems after a sudden quench starting from thermal states. We show that, even if the system is initially in thermal equilibrium at finite temperature, the diagonal entropy after a quench…

量子气体 · 物理学 2012-07-13 Kai He , Marcos Rigol

The result that closed systems evolve toward equilibrium is derived entirely on the basis of quantum field theory for a model system, without invoking any of the common extra-mathematical notions of particle trajectories, collapse of the…

统计力学 · 物理学 2015-06-03 D. Snoke , G. Liu , S. Girvin

We analyze the dynamics of an initially trapped cloud of interacting quantum particles on a lattice under a linear (Stark) potential. We reveal a dichotomy: initially trapped interacting systems possess features typical of both…

量子气体 · 物理学 2020-03-25 Pedro Ribeiro , Achilleas Lazarides , Masudul Haque

We study the statistical and dynamical aspects of a translation-invariant Hamiltonian, without quench disorder, as an example of the manifestation of the phenomenon of many-body localization. This is characterized by the breakdown of…

强关联电子 · 物理学 2017-08-03 Rubem Mondaini , Zi Cai

We present a mathematical theory of metastable pure states in closed many-body quantum systems with finite-dimensional Hilbert space. Given a Hamiltonian, a pure state is defined to be metastable when all sufficiently local operators either…

数学物理 · 物理学 2025-03-21 Chao Yin , Federica M. Surace , Andrew Lucas

We study the thermalization dynamics of a quantum system embedded in an incommensurate potential and coupled to a Markovian thermal reservoir. The dephasing induced by the bath drives the system toward an infinite-temperature steady state,…

量子物理 · 物理学 2025-10-16 Mingdi Xu , Zijun Wei , Xiang-Ping Jiang , Lei Pan

We investigate low-temperature dephasing in several model systems, where a quantum degree of freedom is coupled to a bath. Dephasing, defined as the decay of the coherence of inital non-equilibrium states, also influences the dynamics of…

介观与纳米尺度物理 · 物理学 2007-05-23 Dmitri S. Golubev , Gerd Schön , Andrei D. Zaikin

This paper is concerned with the ergodic subspaces of the state spaces of isolated quantum systems. We prove a new ergodic theorem for closed quantum systems which shows that the equilibrium state of the system takes the form of a grand…

量子物理 · 物理学 2008-11-26 Dorje C. Brody , Daniel W. Hook , Lane P. Hughston

Chaos makes isolated systems of many interacting particles quickly thermalize and forget about their past. Here, we show that quantum mechanics hinders chaos in many-body systems: although the quantum eigenstates are thermal and strongly…

量子物理 · 物理学 2025-07-23 Andrea Pizzi , Long-Hei Kwan , Bertrand Evrard , Ceren B. Dag , Johannes Knolle

We define for quantum many-body systems a quasi-adiabatic continuation of quantum states. The continuation is valid when the Hamiltonian has a gap, or else has a sufficiently small low-energy density of states, and thus is away from a…

强关联电子 · 物理学 2009-11-11 M. B. Hastings , Xiao-Gang Wen

Towers of quantum many-body scars are sets of highly-excited eigenstates of nonintegrable Hamiltonians whose dynamics shows athermal behavior and persistent oscillations in time. The preparation of such states is, however, challenging due…

统计力学 · 物理学 2026-03-16 Lorenzo Gotta , Manas Kulkarni , Gabriele Perfetto

A quantum many-body scar is an eigenstate of a chaotic many-body Hamiltonian that exhibits two seemingly incongruous properties: its energy eigenvalue corresponds to a high temperature, yet its entanglement structure resembles that of…

量子物理 · 物理学 2025-10-16 Phillip C. Burke , Shane Dooley

Quantum thermodynamics aims at investigating both the emergence and the limits of the laws of thermodynamics from a quantum mechanical microscopic approach. In this scenario, thermodynamic processes with no heat exchange, namely, adiabatic…

Despite being ubiquitous, out-of-equilibrium quantum systems are much less understood than systems at equilibrium. Progress in the field has benefited from a symbiotic relationship between theoretical studies and new experiments on coherent…

统计力学 · 物理学 2016-11-03 Marco Távora , E. J. Torres-Herrera , Lea F. Santos

There is presently considerable interest in accurately simulating the evolution of open systems for which Markovian master equations fail. Examples are systems that are time-dependent and/or strongly damped. A number of elegant methods have…

量子物理 · 物理学 2014-04-23 Luciano Silvestri , Kurt Jacobs , Vanja Dunjko , Maxim Olshanii