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A pedagogical introduction is given to the quantum mechanics of closed systems, most generally the universe as a whole. Quantum mechanics aims at predicting the probabilities of alternative coarse-grained time histories of a closed system.…

General Relativity and Quantum Cosmology · Physics 2014-01-15 James B. Hartle

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

No quantum system can be considered totally isolated from its environment. In most cases the interaction between the system of interest and the external degrees of freedom deeply changes its dynamics, as described by open quantum system…

Understanding and simulating how a quantum system interacts and exchanges information or energy with its surroundings is a ubiquitous problem, one which must be carefully addressed in order to establish a coherent framework to describe the…

Quantum Physics · Physics 2021-05-25 Steve Campbell , Bassano Vacchini

Beginning with the principle that a closed mechanical composite system is timeless, time can be defined by the regular changes in a suitable position coordinate (clock) in the observing part, when one part of the closed composite observes…

Quantum Physics · Physics 2021-10-05 John S. Briggs

We scrutize the commonly used criteria for classicality and examine their underlying issues. The two major issues we address here are that of decoherence and fluctuations. We borrow the insights gained in the study of the semiclassical…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. L. Hu , Yuhong Zhang

In quantum/wave systems with chaotic classical analogs, wavefunctions evolve in highly complex, yet deterministic ways. A slight perturbation of the system, though, will cause the evolution to diverge from its original behavior increasingly…

Chaotic Dynamics · Physics 2009-11-07 Nicholas R. Cerruti , Steven Tomsovic

In quantum gravity there is no notion of absolute time. Like all other quantities in the theory, the notion of time has to be introduced "relationally", by studying the behavior of some physical quantities in terms of others chosen as a…

Quantum Physics · Physics 2009-03-12 Rodolfo Gambini , Jorge Pullin

We analyze the problem of one dimensional quantum particle falling in a constant gravitational field, also known as the {\it bouncing ball}, employing a semiclassical approach known as momentous effective quantum mechanics. In this…

Quantum Physics · Physics 2019-04-16 Guillermo Chacon-Acosta , Hector Hernandez-Hernandez , Mercedes Velazquez

We modify the path integral representation of exciton transport in open quantum systems such that an exact description of the quantum fluctuations around the classical evolution of the system is possible. As a consequence, the time…

Quantum Physics · Physics 2017-04-19 Anton Ivanov , Heinz-Peter Breuer

The necessity and utility of considering the interaction of a quantum system with its environment when describing its time evolution have been recognized in several branches of physics and of other sciences. The Kraus' representation is a…

Quantum Physics · Physics 2016-05-12 Jonas Maziero

Time-dependent response and correlation functions are studied in random quantum systems composed of infinitely many parts without mutual interaction and defined with statistically independent random matrices. The latter are taken within the…

Statistical Mechanics · Physics 2025-12-17 Sudhir Ranjan Jain , Pierre Gaspard

We investigate the problem of what evolutions an open quantum system described by a time-local Master equation can undergo with universal coherent controls. A series of conditions are given which exclude channels from being reachable by any…

Quantum Physics · Physics 2016-08-08 Benjamin Dive , Daniel Burgarth , Florian Mintert

Quantum (Poincar\'e) recurrence theorem are known for closed quantum (classical) systems. Can recurrence happen in open systems? We provide the recurrence theorem for open quantum systems via non-Hermitian (NH) description. We find that PT…

Quantum Physics · Physics 2024-03-01 Zhihang Liu , Chao Zheng

We study a quantum oscillator interacting and back-reacting on a classical oscillator. This can be done consistently provided the quantum system decoheres, while the backreaction has a stochastic component which causes the classical system…

Quantum Physics · Physics 2025-04-24 Muhammad Sajjad , Andrea Russo , Maite Arcos , Andrzej Grudka , Jonathan Oppenheim

Understanding quantum many-body systems with long-range or infinite-range interactions is of relevance across a broad set of physical disciplines, including quantum optics, nuclear magnetic resonance and nuclear physics. From a theoretical…

Statistical Mechanics · Physics 2024-03-27 Federico Carollo , Igor Lesanovsky

We analyze a class of dynamics of open quantum systems which is governed by the dynamical map mutually commuting at different times. Such evolution may be effectively described via spectral analysis of the corresponding time dependent…

Quantum Physics · Physics 2011-02-18 D. Chruscinski , A. Kossakowski , P. Aniello , G. Marmo , F. Ventriglia

We study particle and energy transport in an open quantum system consisting of a three harmonic oscillator chain coupled to thermal baths at different temperatures placed at the ends of the chain. We consider the exact dynamics of the open…

Quantum Physics · Physics 2025-10-28 Melika Babakan , Fabio Benatti , Laleh Memarzadeh

All natural things process and transform information. They receive environmental information as input, and transform it into appropriate output responses. Much of science is dedicated to building models of such systems -- algorithmic…

Quantum Physics · Physics 2017-02-14 Jayne Thompson , Andrew J. P. Garner , Vlatko Vedral , Mile Gu

A quantum system subject to an external perturbation can experience leakage between uncoupled regions of its energy spectrum separated by a gap. To quantify this phenomenon, we present two complementary results. First, we establish…

Quantum Physics · Physics 2025-09-03 Zsolt Szabó , Stefan Gehr , Paolo Facchi , Kazuya Yuasa , Daniel Burgarth , Davide Lonigro