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The quasi-static evolution of steady states far from equilibrium is investigated from the point of view of quantum statistical mechanics. As a concrete example of a thermodynamic system, a two-level quantum dot coupled to several reservoirs…

数学物理 · 物理学 2009-11-11 Walid K. Abou Salem

Open quantum systems with nearly degenerate energy levels have been shown to exhibit long-lived metastable states in the approach to equilibrium, even when modelled with certain Lindblad-form quantum master equations. This is a result of…

量子物理 · 物理学 2024-02-16 Matthew Gerry , Michael J. Kewming , Dvira Segal

We suggest a natural mapping between bipartite states and quantum evolutions of local states, which is a Jamiolkowski map. It is shown that spatial correlations of weak measurements in bipartite systems precisely coincide with temporal…

量子物理 · 物理学 2011-03-15 Shmuel Marcovitch , Benni Reznik

Controlling dynamical fluctuations in open quantum systems is essential both for our comprehension of quantum nonequilibrium behaviour and for its possible application in near-term quantum technologies. However, understanding these…

统计力学 · 物理学 2020-10-07 Federico Carollo , Carlos Pérez-Espigares

We illustrate the equivalence between the non-unitary evolution of an open quantum system governed by a Markovian master equation and a process of continuous measurements involving this system. We investigate a system of two coupled modes,…

Open quantum systems exhibit dynamics ranging from unitary evolution to irreversible dissipation. While the Gorini--Kossakowski--Sudarshan--Lindblad (GKSL) equation uniquely characterizes Markovian CPTP evolution, many physical platforms…

量子物理 · 物理学 2026-03-05 Bo Peng , Yu Zhang

The correspondence principle plays a fundamental role in quantum mechanics, which naturally leads us to inquire whether it is possible to find or determine close classical analogs of quantum states in phase space -- a common meeting point…

量子物理 · 物理学 2022-01-28 A. S. Sanz

Motivated by recent experiments in fermionic polar gases, we study the non-equilibrium dynamics of two-component dipolar fermions subject to a quasiperiodic potential. We investigate the localization of charge and spin degrees of freedom…

量子气体 · 物理学 2020-12-15 Bradraj Pandey , Elbio Dagotto , Swapan K. Pati

We propose a complete treatment of a local in time dynamics of open quantum systems. In this approach Markovian evolution turns out to be a special case of a general non-Markovian one. We provide a general representation of the local…

量子物理 · 物理学 2010-06-15 Dariusz Chruscinski , Andrzej Kossakowski

Motivated by the structure of the Swanson oscillator which is a well-known example of a non-Hermitian quantum system consisting of a general representation of a quadratic Hamiltonian, we propose a fermionic extension of such a scheme which…

量子物理 · 物理学 2024-09-05 Akash Sinha , Aritra Ghosh , Bijan Bagchi

We address the problem of identifying the (nonstationary) quantum systems that admit supersymmetric dynamical invariants. In particular, we give a general expression for the bosonic and fermionic partner Hamiltonians. Due to the…

量子物理 · 物理学 2009-11-07 Ali Mostafazadeh

The conventional, time-dependent Schroedinger equation describes only unidirectional time evolution of the state of a physical system, i.e., forward or, less commonly, backward. This paper proposes a generalized quantum dynamics for the…

量子物理 · 物理学 2008-11-26 G. E. Hahne

One among the possible realizations of non-Hermitian systems is based on open quantum systems by omitting quantum jumping terms in the master equation. This is a good approximation at short times where the effects of quantum jumps can be…

量子物理 · 物理学 2023-09-21 Xiangyu Niu , Jianning Li , S. L. Wu , X. X. Yi

We discuss the classical and quantum mechanical evolution of systems described by a Hamiltonian that is a function of a solvable one, both classically and quantum mechanically. The case in which the solvable Hamiltonian corresponds to the…

量子物理 · 物理学 2015-05-13 J. Fernando Barbero G. , Iñaki Garay , Eduardo J. S. Villaseñor

Open quantum systems exhibit a range of novel out-of-equilibrium behavior due to the interplay between coherent quantum dynamics and dissipation. Of particular interest in these systems are driven, dissipative transitions, the emergence of…

量子物理 · 物理学 2018-05-23 H. F. H. Cheung , Y. S. Patil , M. Vengalattore

In this article, we formulate the study of the unitary time evolution of systems consisting of an infinite number of uncoupled time-dependent harmonic oscillators in mathematically rigorous terms. We base this analysis on the theory of a…

数学物理 · 物理学 2009-10-06 Daniel Gómez Vergel , Eduardo J. S. Villaseñor

We derive a general set of fluctuation relations for a nonequilibrium open quantum system described by a Lindblad master equation. In the special case of conservative Hamiltonian dynamics, these identities allow us to retrieve quantum…

统计力学 · 物理学 2010-02-05 Raphael Chetrite , Kirone Mallick

We analyze the quantum dynamics of the fractional-time Jaynes-Cummings model using a recent unitary framework for the fractional-time Schr\"odinger equation. We examine how the fractional derivative order $\alpha$ influences non-classical…

量子物理 · 物理学 2026-04-23 Thiago T. Tsutsui , Danilo Cius , Antonio S. M. de Castro , Fabiano M. Andrade

We discuss differential-- versus integral--equation based methods describing out--of thermal equilibrium systems and emphasize the importance of a well defined reduction to statistical observables. Applying the projection operator approach,…

高能物理 - 理论 · 物理学 2011-09-13 Herbert Nachbagauer

Quantum mechanics predicts that unobserved systems may exist in a superposition of states, yet measurement produces definite outcomes, a tension at the heart of the quantum-to-classical boundary. How the transformation between these…