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Time dependent dynamics of the chaotic quantum-mechanical system has been studied. Irreversibility of the dynamics is shown. It is shown, that being in the initial moment in pure quantum-mechanical state, system makes irreversible…

混沌动力学 · 物理学 2007-05-23 L. Chotorlishvili , V. Skrinnikov

We examine the dynamics of entanglement entropy of all parts in an open system consisting of a two-level dimer interacting with an environment of oscillators. The dimer-environment interaction is almost energy conserving. We find the…

量子物理 · 物理学 2018-05-09 M. Merkli , G. P. Berman , R. T. Sayre , X. Wang , A. I. Nesterov

Quantum chaos, a phenomenon that began to be studied in the last century, still does not have a rigorous understanding. By virtue of the correspondence principle, the properties of the system that lead to chaotic dynamics at the classical…

量子物理 · 物理学 2024-06-25 Evgeny Polyakov , Nataliya Arefyeva

We study entropy production (EP) in processes involving repeated quantum measurements of finite quantum systems. Adopting a dynamical system approach, we develop a thermodynamic formalism for the EP and study fine aspects of irreversibility…

数学物理 · 物理学 2017-08-02 Tristan Benoist , Vojkan Jaksic , Yan Pautrat , Claude-Alain Pillet

The relation between the onset of chaos and critical phenomena, like Quantum Phase Transitions (QPT) and Excited-State Quantum Phase transitions (ESQPT), is analyzed for atom-field systems. While it has been speculated that the onset of…

混沌动力学 · 物理学 2016-08-12 J. Chávez-Carlos , M. A. Bastarrachea-Magnani , S. Lerma-Hernández , J. G. Hirsch

We study the modification of the second law of thermodynamics for a quantum system interacting with a reservoir regarding quantum coherence. The whole system is isolated so that neither energy nor information is lost. It is discovered that…

量子物理 · 物理学 2021-10-12 Yu-Han Ma , C. L. Liu , C. P. Sun

Control of open quantum dynamics is of great interest for realizing quantum technologies. Therefore, it is an important task to quantify and characterize the entropy for open quantum systems under decoherence. In this paper, we study the…

量子物理 · 物理学 2024-05-21 Kohei Kobayashi

One of the major goals of quantum thermodynamics is the characterization of irreversibility and its consequences in quantum processes. Here, we discuss how entropy production provides a quantification of the irreversibility in open quantum…

In quantum systems, entropy production is typically defined as the quantum relative entropy between two states. This definition provides an upper bound for any flux (of particles, energy, entropy, etc.) of bounded observables, which proves…

量子物理 · 物理学 2023-11-23 Domingos S. P. Salazar

We consider thermodynamic systems with finitely many degrees of freedom and subject to an external control action. We derive some basic results on the dependence of the relative entropy production rate on the controlling force. Applications…

数学物理 · 物理学 2007-05-23 M. Pavon , F. Ticozzi

Environment-induced decoherence has long been recognised as being of crucial importance in the study of chaos in quantum systems. In particular, the exact form and strength of the system-environment interaction play a major role in the…

量子物理 · 物理学 2017-08-02 Jessica K. Eastman , Joseph J. Hope , André R. R. Carvalho

We study the time evolution of a periodically driven quantum-mechanical system coupled to several reserviors of free fermions at different temperatures. This is a paradigm of a cyclic thermodynamic process. We introduce the notion of a…

数学物理 · 物理学 2007-05-23 Walid K. Abou Salem , Juerg Froehlich

A three-component dynamic system with influence of pumping and nonlinear dissipation describing a quantum cavity electrodynamic device is studied. Different dynamical regimes are investigated in terms of divergent trajectories approaches…

混沌动力学 · 物理学 2015-05-13 E. D. Belokolos , V. O. Kharchenko , D. O. Kharchenko

We uncover a dynamical entanglement transition in a monitored quantum system that is heralded by a local order parameter. Classically, chaotic systems can be stochastically controlled onto unstable periodic orbits and exhibit controlled and…

无序系统与神经网络 · 物理学 2022-08-10 Thomas Iadecola , Sriram Ganeshan , J. H. Pixley , Justin H. Wilson

Quantum technology resorts to efficient utilization of quantum resources to realize technique innovation. The systems are controlled such that their states follow the desired manners to realize different quantum protocols. However, the…

量子物理 · 物理学 2021-01-13 Si-Yuan Bai , Chong Chen , Hong Wu , Jun-Hong An

The time dependent entropy (or Leipnik's entropy) of harmonic and damped harmonic oscillators is extensively investigated by using time dependent wave function obtained by the Feynman path integral method. Our results for simple harmonic…

量子物理 · 物理学 2012-12-24 O. Ozcan , E. Akturk , R. Sever

An effective self-consistent model is derived and used to study the dynamics of an electron gas confined in a nonparabolic and anisotropic quantum well. This approach is based on the equations of quantum hydrodynamics, which incorporate…

介观与纳米尺度物理 · 物理学 2016-05-11 Jerome Hurst , Kevin Leveque-Simon , Paul-Antoine Hervieux , Giovanni Manfredi , Fernando Haas

Von Neumann entropy rate for open quantum systems is, in general, written in terms of entropy production and entropy flow rates, encompassing the second law of thermodynamics. When the open-quantum-system evolution corresponds to a quantum…

量子物理 · 物理学 2022-01-05 Fabricio Toscano , Gustavo M. Bosyk , Steeve Zozor , Mariela Portesi

Entropy, its production, and its change in a dynamical system can be understood from either a fully stochastic dynamic description or from a deterministic dynamics exhibiting chaotic behavior. By taking the former approach based on the…

数学物理 · 物理学 2025-08-26 Hong Qian , Zhongwei Shen

We study the decoherence of a one-particle system, whose classical correpondent is chaotic, when it evolves coupled to a weak quenched environment. This is done by analytical evaluation of the Loschmidt Echo, (i.e. the revival of a…

无序系统与神经网络 · 物理学 2009-10-31 Rodolfo A. Jalabert , Horacio M. Pastawski