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Relaxation dynamics of complex quantum systems with strong interactions towards the steady state is a fundamental problem in statistical mechanics. The steady state of subsystems weakly interacting with their environment is described by the…

统计力学 · 物理学 2016-06-22 Alexey M. Shakirov , Yulia E. Shchadilova , Alexey N. Rubtsov

After a sudden disruption, weakly interacting quantum systems first relax to a prethermalized state that can be described by perturbation theory and a generalized Gibbs ensemble. Using these properties of the prethermalized state we…

强关联电子 · 物理学 2013-08-27 Michael Stark , Marcus Kollar

We study the transition probabilities of a two-point measurement on a quantum system, initially prepared in a thermal state. We find two independent constraints on the difference between transition probabilities when the system is prepared…

介观与纳米尺度物理 · 物理学 2025-05-20 Ludovico Tesser , Matteo Acciai , Christian Spånslätt , Inès Safi , Janine Splettstoesser

On a fine grained scale the Gibbs entropy of an isolated system remains constant throughout its dynamical evolution. This is a consequence of Liouville's theorem for Hamiltonian systems and appears to contradict the second law of…

统计力学 · 物理学 2017-07-05 Renato Pakter , Yan Levin

We consider quantum systems consisting of a ``small'' system coupled to two reservoirs (called open systems). We show that such a system has no equilibrium states normal with respect to any state of the decoupled system in which the…

数学物理 · 物理学 2007-05-23 M. Merkli , M. Mück , I. M. Sigal

We develop further the study of a system in contact with a multibath having different temperatures at widely separated timescales. We consider those systems that do not thermalize in finite times when in contact with an ordinary bath but…

无序系统与神经网络 · 物理学 2021-05-26 Pierluigi Contucci , Federico Corberi , Jorge Kurchan , Emanuele Mingione

For macroscopic systems, the second law of thermodynamics establishes an inequality between the amount of work performed on a system in contact with a thermal reservoir, and the change in its free energy. For microscopic systems, this…

统计力学 · 物理学 2010-02-08 Eliran Boksenbojm , Bram Wynants , Christopher Jarzynski

We consider bipartite quantum systems that are described completely by a state vector $|\Psi(t)>$ and the fully deterministic Schr\"odinger equation. Under weak constraints and without any artificially introduced decoherence or…

量子物理 · 物理学 2009-11-10 P. Borowski , J. Gemmer , G. Mahler

We present a model independent, operator algebraic approach to non-equilibrium quantum thermodynamics within the framework of two-dimensional Conformal Field Theory. Two infinite reservoirs in equilibrium at their own temperatures and…

高能物理 - 理论 · 物理学 2017-09-13 Stefan Hollands , Roberto Longo

We consider a time-dependent two-level quantum system interacting with a free Boson reservoir. The coupling is energy conserving and depends slowly on time, as does the system Hamiltonian, with a common adiabatic parameter $\varepsilon$.…

数学物理 · 物理学 2020-10-28 Alain Joye , Marco Merkli , Dominique Spehner

Two-body dissipation due to chemical reactions occurs in both ultracold fermionic and bosonic molecular gases. Despite recent advances in achieving quantum degeneracy, the loss dynamics are typically described phenomenologically using rate…

量子气体 · 物理学 2025-06-10 Xin-Yuan Gao , Yangqian Yan

We study the energy distribution in the extended resonant level model at equilibrium. Previous investigations [Phys. Rev. B {\bf 89}, 161306 (2014), Phys. Rev. B {\bf 93}, 115318 (2016)] have found, for a resonant electronic level…

介观与纳米尺度物理 · 物理学 2016-07-26 Maicol A. Ochoa , Anton Bruch , Abraham Nitzan

We test Boltzmann's H-theorem for several models of particle random walk. We study the influence of interaction between the particle and reservoir/detectors on entropy and find entropy increasing in time for some models and behaving…

量子物理 · 物理学 2015-02-13 G. B. Lesovik , I. A. Sadovskyy

We present a statistical mechanics description to study the ground state of quantum systems. In this approach, averages for the complete system are calculated over the non-interacting energy levels. Taking different interaction parameter,…

统计力学 · 物理学 2015-05-20 Andre M. C. Souza

When a gas of particles interacts with much a larger reservoir the density dynamics on large scales is typically governed by diffusion. We study this paradigmatic problem for weakly coupled integrable systems and show that this picture gets…

统计力学 · 物理学 2026-01-13 Paweł Lisiak , Maciej Łebek , Miłosz Panfil

We consider a three-level quantum system interacting with a bosonic thermal reservoir. Two energy levels of the system are nearly degenerate but well separated from the third one. The system-reservoir interaction constant is larger than the…

量子物理 · 物理学 2015-07-06 Marco Merkli , Haifeng Song , Gennady Berman

The influence of the environment in the thermal equilibrium properties of a bipartite continuous variable quantum system is studied. The problem is treated within a system-plus-reservoir approach. The considered model reproduces the…

量子物理 · 物理学 2011-07-05 D. M. Valente , A. O. Caldeira

We study the dynamics of an open quantum system interacting with a non-thermal bath. Here, "non-thermal" means that the bath modes do not need to have the same temperature, but they have an effective temperature distribution. We find that,…

量子物理 · 物理学 2016-04-12 Sheng-Wen Li , Moochan B. Kim , Marlan O. Scully

Schr\"odinger suggested that thermodynamical functions cannot be based on the gratuitous allegation that quantum-mechanical levels (typically the orthogonal eigenstates of the Hamiltonian operator) are the only allowed states for a quantum…

The stochastic dissipative Schrodinger equation is derived for an open quantum system consisting of a sub-system able to exchange energy with a thermal reservoir. The resultant evolution of the wave function also gives the evolution of the…

统计力学 · 物理学 2014-06-03 Phil Attard