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Related papers: Energy backflow and non-Markovian dynamics

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Interpreting partial information collected from systems subject to noise is a key problem across scientific disciplines. Theoretical frameworks often focus on the dynamics of variables that result from coarse-graining the internal states of…

Statistical Mechanics · Physics 2022-08-18 Pedro E. Harunari , Annwesha Dutta , Matteo Polettini , Édgar Roldán

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

The dynamical behavior of open quantum systems plays a key role in many applications of quantum mechanics, examples ranging from fundamental problems, such as the environment-induced decay of quantum coherence and relaxation in many-body…

Quantum Physics · Physics 2016-05-04 Heinz-Peter Breuer , Elsi-Mari Laine , Jyrki Piilo , Bassano Vacchini

Dynamic heterogeneity has often been modeled by assuming that a single-particle observable, fluctuating at a molecular scale, is influenced by its coupling to environmental variables fluctuating on a second, perhaps slower, time scale.…

Condensed Matter · Physics 2009-11-07 Gregor Diezemann , Gerald Hinze , Hans Sillescu

We calculate and verify with simulations the ratio between the average translational and rotational energies of systems with rough, inelastic particles, either forced or freely cooling. The ratio shows non-equipartition of energy. In…

Statistical Mechanics · Physics 2009-10-31 S. McNamara , S. Luding

Memory effects in non-Markovian dynamics are often diagnosed either via quantum-correlation revivals or via non-monotonic classical information measures, yet a unified minimal framework comparing their ``backflow phases'' is still lacking.…

Quantum Physics · Physics 2026-01-28 Koichi Nakagawa

Non-Markovian dynamics are ubiquitous across physics, biology, and engineering. Yet our understanding of non-Markovian processes significantly lags that of simpler Markovian processes, due largely to a lack of tractable models. In this…

Statistical Mechanics · Physics 2025-12-23 Matthew P. Leighton , Christopher W. Lynn

We study the non-Markovianity of the dynamics of open quantum systems focusing on the cases of independent and common environmental interactions. We investigate the degree of non-Markovianity quantified by two distinct measures proposed by…

Quantum Physics · Physics 2013-08-22 Felipe F. Fanchini , Goktug Karpat , Leonardo K. Castelano , Daniel Z. Rossatto

The way a principle system and its environment interact characterizes the non-Markovianity of the dynamics. Herein, we investigate the non-Markovian dynamics of photon polarization in a birefringent crystal. We consider the so-called…

Quantum Physics · Physics 2018-10-31 Kai-Hung Wang , Shih-Hsuan Chen , Yu-Cheng Lin , Che-Ming Li

A classical system, which is analogous to the quantum one with a backflow of probability, is proposed. The system consists of a chain of masses interconnected by springs, as well attached by other springs to fixed supports. Thanks to the…

Classical Physics · Physics 2021-01-18 A. Matulis , A. Acus

Simple, controllable models play an important role to learn how to manipulate and control quantum resources. We focus here on quantum non-Markovianity and model the evolution of open quantum systems by quantum renewal processes. This class…

Quantum Physics · Physics 2021-08-04 Nina Megier , Manuel Ponzi , Andrea Smirne , Bassano Vacchini

Non-homogeneous chain environments (e.g. segmented ion traps) are investigated through an exact diagonalization approach. Different spectral densities, including band-gaps, can be engineered to separately assess memory effects. Environment…

Quantum Physics · Physics 2018-04-06 Ruggero Vasile , Fernando Galve , Roberta Zambrini

Recent years have witnessed major advances in our understanding of nonequilibrium processes. The Jarzynski equality, for example, provides a link between equilibrium free energy differences and finite-time, nonequilibrium dynamics. We…

Statistical Mechanics · Physics 2016-04-27 Dibyendu Mandal , Michael R. DeWeese

We investigate the transition from second to first order systems. This transforms configuration space into phase space and hence introduces noncommutativity in the former. Quantum mechanically, the transition may be described in terms of…

High Energy Physics - Theory · Physics 2008-11-26 Thomas Heinzl , Anton Ilderton

Closely related to the laws of thermodynamics, the detection and quantification of disequilibria are crucial in unraveling the complexities of nature, particularly those beneath observable layers. Theoretical developments in nonequilibrium…

Statistical Mechanics · Physics 2024-07-23 Pedro E. Harunari

In the context of fluctuation relations, we study the distribution of energy dissipated by a driven two-level system. Incorporating an energy counting field into the well known spin-boson model enables us to calculate the distribution…

Mesoscale and Nanoscale Physics · Physics 2014-10-22 Philip Wollfarth , Alexander Shnirman , Yasuhiro Utsumi

In this paper we propose a new formalism to map history-dependent metadynamics in a Markovian process. We apply this formalism to a model Langevin dynamics and determine the equilibrium distribution of a collection of simulations. We…

Statistical Mechanics · Physics 2008-04-02 Giovanni Bussi , Alessandro Laio , Michele Parrinello

We investigate the dynamical aspects of the quantum switch and find a particular form of quantum memory emerging out of the switch action. We first analyze the loss of information in a general quantum evolution subjected to a quantum switch…

Quantum Physics · Physics 2025-03-26 Vishal Anand , Ananda G. Maity , Subhadip Mitra , Samyadeb Bhattacharya

We briefly review statistical models for the probability distribution of money developed in the econophysics literature since the late 1990s. In these models, economic transactions are modeled as random transfers of money between the agents…

Statistical Finance · Quantitative Finance 2011-03-14 Victor M. Yakovenko

We construct a large class of completely positive and trace preserving non-Markovian dynamical maps for an open quantum system. These maps arise from a piecewise dynamics characterized by a continuous time evolution interrupted by jumps,…

Quantum Physics · Physics 2014-04-03 Bassano Vacchini
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