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Related papers: On the decay law for unstable open systems

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Open quantum systems interact with their environment and their dynamical behaviour depends strongly both on the spectral properties of the environment and the structure of the interaction between the physical system and the environment. We…

Quantum Physics · Physics 2019-10-02 Tarek Khalil , Jean Richert

The survival probability of a quantum system with a finite ground energy is known to decay subexponentially at large times. Here we show that, under the same assumption, the average value of any quantum observable, whenever well-defined,…

Quantum Physics · Physics 2023-12-07 Paolo Facchi , Davide Lonigro

Decay laws of moving unstable quantum systems with oscillating decay rates are analyzed over intermediate times. The transformations of the decay laws at rest and of the intermediate times at rest, which are induced by the change of…

Quantum Physics · Physics 2020-01-08 Filippo Giraldi

We numerically analyse quantum survival probability fluctuations in an open, classically chaotic system. In a quasi-classical regime, and in the presence of classical mixed phase space, such fluctuations are believed to exhibit a fractal…

Condensed Matter · Physics 2009-11-07 Giuliano Benenti , Giulio Casati , Italo Guarneri , Marcello Terraneo

We develop a framework to test the Equivalence Principle (EP) under conditions where the quantum aspects of nature cannot be neglected, specifically in the context of interference phenomena with unstable particles. We derive the…

General Relativity and Quantum Cosmology · Physics 2013-06-25 Y. Bonder , E. Fischbach , H. Hernandez-Coronado , D. E. Krause , Z. Rohrbach , D. Sudarsky

We show that a scaling law exists for the near resonant dynamics of cold kicked atoms in the presence of a randomly fluctuating pulse amplitude. Analysis of a quasi-classical phase-space representation of the quantum system with noise…

Quantum Physics · Physics 2008-08-29 Mark Sadgrove , Sandro Wimberger , Scott Parkins , Rainer Leonhardt

It has been claimed that decoherence of open quantum systems explains the tendency of macroscopic systems to exhibit quasiclassical behavior. We show that quasiclassicality is in fact an unremarkable property, characterizing generic…

Quantum Physics · Physics 2009-06-25 Steven Weinstein

We determine the total state dynamics of a dephasing open quantum system using the standard environment of harmonic oscillators. Of particular interest are random unitary approaches to the same reduced dynamics and system-environment…

Quantum Physics · Physics 2015-06-04 Ansgar Pernice , Julius Helm , Walter T. Strunz

The incoherent dynamical properties of open quantum systems are generically attributed to an ongoing correlation between the system and its environment. Here, we propose a novel way to assess the nature of these system-environment…

Quantum Physics · Physics 2018-01-23 Hong-Bin Chen , Clemens Gneiting , Ping-Yuan Lo , Yueh-Nan Chen , Franco Nori

We consider quantum decay and photofragmentation processes in open chaotic systems in the semiclassical limit. We devise a semiclassical approach which allows us to consistently calculate quantum corrections to the classical decay to high…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Martha Gutierrez , Daniel Waltner , Jack Kuipers , Klaus Richter

We analyse the Langevin dynamics of the random walk, the scalar field, the X-Y model and the spinoidal decomposition. We study the deviations from the equilibrium dynamics theorems (FDT and homogeneity), the asymptotic behaviour of the…

Condensed Matter · Physics 2009-10-22 L. F. Cugliandolo , J. Kurchan , G. Parisi

We show that introducing a small uncertainty in the parameters of quantum systems can make the dynamics of these systems robust against perturbations. Concretely, for the case where a system is subject to perturbations due to an…

Quantum Physics · Physics 2017-11-22 Meenu Kumari , Eduardo Martin-Martinez , Achim Kempf , Shohini Ghose

We present a formalism for studying the behaviour of quantum systems coupled to nonequilibrium environments exhibiting nonGaussian fluctuations. We discuss the role of a qubit as a detector of the statistics of environmental fluctuations,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Clive Emary

We modify the theory of the Quantum Zeno Effect to make it consistent with the postulates of quantum mechanics. This modification allows one, throughout a sequence of observations of an excited system, to address the nature of the…

Quantum Physics · Physics 2022-07-26 P. W. Bryant

Limit theorems for a linear dynamical system with random interactions are established. These theorems enable us to characterize the dynamics of a large complex system in details and assess whether a large complex system is stable or…

Mathematical Physics · Physics 2011-11-10 J. F. Feng , M. Shcherbina , B. Tirozzi

We discuss the relation between the quantum-mechanical survival probability of an unstable system in motion and that of the system at rest. The usual definition of the survival probability which takes into account only the time evolution of…

Quantum Physics · Physics 2015-06-23 S. A. Alavi , C. Giunti

Relativistic quantum theory shows that the known Einstein time dilation (ED) approximately holds for the decay law of the unstable particle having definite momentum p (DP). I use a different definition of the moving particle as the state…

Quantum Physics · Physics 2007-05-23 M. I. Shirokov

The interaction between two parts in a compound quantum system may be reconsidered more completely than before and some new understandings and conclusions different from current quantum mechanics are obtained, including the conservation law…

General Physics · Physics 2010-11-03 Tian-Hai Zeng

We derive a general fluctuation theorem for quantum maps. The theorem applies to a broad class of quantum dynamics, such as unitary evolution, decoherence, thermalization, and other types of evolution for quantum open systems. The theorem…

Quantum Physics · Physics 2015-10-01 Gonzalo Manzano , Jordan M. Horowitz , Juan M. R. Parrondo

We analyze the stability of a quantum algorithm simulating the quantum dynamics of a system with different regimes, ranging from global chaos to integrability. We compare, in these different regimes, the behavior of the fidelity of quantum…

Quantum Physics · Physics 2007-05-23 Davide Rossini , Giuliano Benenti , Giulio Casati