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The classical limit of quantum mechanics is discussed for closed quantum systems in terms of observational aspects. Initially, the failure of the limit h->0 is explicitly demonstrated in a model of two quantum mechanically interacting…

量子物理 · 物理学 2008-09-29 R. M. Angelo

A precise time-dependent control of a quantum system relies on an accurate account of the quantum interference among the system, the control and the environment. A diagrammatic technique has been recently developed to precisely calculate…

介观与纳米尺度物理 · 物理学 2015-05-30 Ching-Kit Chan , L. J. Sham

Among the most iconic features of classical dissipative dynamics are persistent limit-cycle oscillations and critical slowing down at the onset of such oscillations, where the system relaxes purely algebraically in time. On the other hand,…

量子物理 · 物理学 2025-02-10 Shovan Dutta , Shu Zhang , Masudul Haque

The framework of entropic dynamics (ED) allows one to derive quantum mechanics as an application of entropic inference. In this work we derive the classical limit of quantum mechanics in the context of ED. Our goal is to find conditions so…

量子物理 · 物理学 2017-08-01 Anthony Demme , Ariel Caticha

The time development of equal-time correlation functions in quantum mechanics and quantum field theory is described by an exact evolution equation for generating functionals. This permits a comparison between classical and quantum evolution…

高能物理 - 理论 · 物理学 2009-10-30 C. Wetterich

Deviations from classical physics when distant quantum systems become correlated are interesting both fundamentally and operationally. There exist situations where the correlations enable collaborative tasks that are impossible within the…

量子物理 · 物理学 2019-05-08 Farid Shahandeh , Austin P. Lund , Timothy C. Ralph

We obtain an upper bound on the time available for quantum computation for a given quantum computer and decohering environment with quantum error correction implemented. First, we derive an explicit quantum evolution operator for the…

量子物理 · 物理学 2015-05-18 E. Novais , Eduardo R. Mucciolo , Harold U. Baranger

A quantum decaying system can reveal its nonclassical behavior by being noninvasively measured. Correlations of weak measurements in the noninvasive limit violate the classical bound for a universal class of systems. The violation is…

量子物理 · 物理学 2022-04-20 Stanisław Sołtan , Adam Bednorz

Consistent dynamics which couples classical and quantum degrees of freedom exists, provided it is stochastic. This dynamics is linear in the hybrid state, completely positive and trace preserving. One application of this is to study the…

量子物理 · 物理学 2023-01-04 Jonathan Oppenheim , Carlo Sparaciari , Barbara Šoda , Zachary Weller-Davies

We consider quantum corrections to classical real time correlation functions at finite temperature. We derive a semi-classical expansion in powers of $\hbar$ with coefficients including all orders in the coupling constant. We give explicit…

高能物理 - 理论 · 物理学 2009-10-30 Dietrich Bödeker

The understanding of how classical dynamics can emerge in closed quantum systems is a problem of fundamental importance. Remarkably, while classical behavior usually arises from coupling to thermal fluctuations or random spectral noise, it…

量子气体 · 物理学 2013-05-09 Bryce Gadway , Jeremy Reeves , Ludwig Krinner , Dominik Schneble

We consider the time evolution of nonequilibrium quantum scalar fields in the O(N) model, using the next-to-leading order 1/N expansion of the 2PI effective action. A comparison with exact numerical simulations in 1+1 dimensions in the…

高能物理 - 唯象学 · 物理学 2010-02-04 Gert Aarts , Jurgen Berges

Quantum systems are invariably open, evolving under surrounding influences rather than in isolation. Standard open quantum system methods eliminate all information on the environmental state to yield a tractable description of the system…

量子物理 · 物理学 2014-09-26 Jake Iles-Smith , Neill Lambert , Ahsan Nazir

In the second part of this paper in micro canonical ensemble the new numerical approach for consideration of quantum dynamics and calculations of the average values of quantum operators and time correlation functions in the Wigner…

量子物理 · 物理学 2009-10-31 V. Filinov , Yu. Lozovik , A. Filinov , I. Zacharov , A. Oparin

In order to investigate the reliability of the classical approximation for non-perturbative real time correlation functions at finite temperature we study the two-point correlator for the anharmonic oscillator. For moderately large times…

高能物理 - 唯象学 · 物理学 2007-05-23 D. B"odeker

We investigate quantum effects in the evolution of general systems. For studying such temporal quantum phenomena, it is paramount to have a rigorous concept and profound understanding of the classical dynamics in such a system in the first…

量子物理 · 物理学 2020-06-02 J. Sperling , I. A. Walmsley

The quantum speed limit (QSL), or the energy-time uncertainty relation, describes the fundamental maximum rate for quantum time evolution and has been regarded as being unique in quantum mechanics. In this study, we obtain a classical speed…

量子物理 · 物理学 2018-02-15 Manaka Okuyama , Masayuki Ohzeki

A general method of quantum-to-classical reduction of quantum dynamics is described. The key aspect of our method is the similarity transformation of the Liouvillian, which provides a new perspective. In conventional studies of quantum…

统计力学 · 物理学 2015-04-09 Norikazu Kamiya

We consider two limiting regimes, the large-spin and the mean-field limit, for the dynamical evolution of quantum spin systems. We prove that, in these limits, the time evolution of a class of quantum spin systems is determined by a…

数学物理 · 物理学 2009-11-13 J. Froehlich , A. Knowles , E. Lenzmann

A quantum system at equilibrium is represented by a corresponding classical system, chosen to reproduce thermodynamic and structural properties. The motivation is to allow application of classical strong coupling theories and molecular…

统计力学 · 物理学 2013-03-14 James Dufty , Sandipan Dutta