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A quantum stochastic model for an open dynamical system (quantum receiver) and output multi-channel of observation with an additive nonvacuum quantum noise is given. A quantum stochastic Master equation for the corresponding instrument is…

Quantum Physics · Physics 2015-06-26 V. P. Belavkin

We develop the full counting statistics of dissipated heat to explore the relation with Landauer's principle. Combining the two-time measurement protocol for the reconstruction of the statistics of heat with the minimal set of assumptions…

We propose an approach allowing the computation of currents and their correlations in interacting multiterminal mesoscopic systems involving quantum dots coupled to normal and/or superconducting leads. The formalism relies on the expression…

Mesoscale and Nanoscale Physics · Physics 2012-01-18 J. Rech , D. Chevallier , T. Jonckheere , T. Martin

Large-scale atmospheric flows may not be so nonlinear as to preclude their statistical description by systematic expansions in cumulants. I extend previous work by examining a two-layer baroclinic model of the general circulation. The fixed…

Atmospheric and Oceanic Physics · Physics 2011-01-04 J. B. Marston

Thesis is devoted to the application of cumulant analysis in the estimation of impulse response functions for continuous time-invariant linear systems, including systems with inner noises. The main assumption of the work is the second-order…

Statistics Theory · Mathematics 2020-05-26 Irina Blazhievska

We present a general formalism able to derive the kinetic equations of polymer dynamics. It is based on the application of nonequilibrium thermodynamics to analyze the irreversible processes taking place in the conformational space of the…

Soft Condensed Matter · Physics 2009-11-07 J. M. Rubi , A. Perez-Madrid

A theoretical approach for characterising the influence of asymmetry of noise distribution on the escape rate of a multi-stable system is presented. This was carried out via the estimation of an action, which is defined as an exponential…

Mesoscale and Nanoscale Physics · Physics 2014-02-26 I. A. Khovanov , N. A. Khovanova

We introduce a data-based approach to estimating key quantities which arise in the study of nonlinear control systems and random nonlinear dynamical systems. Our approach hinges on the observation that much of the existing linear theory may…

Optimization and Control · Mathematics 2016-04-04 Jake Bouvrie , Boumediene Hamzi

To find moments of various estimators related to Autoregressive models of Statistics, one first needs the cumulants of products of two Normally distributed random variables. The purpose of this article is to derive the corresponding…

Statistics Theory · Mathematics 2015-06-18 Clarence Kalitsi , Jan Vrbik

Utilizing rapidity-dependent measurements to map the QCD phase diagram provides a complementary approach to traditional beam-energy-dependent measurements around midrapidity. The changing nature of thermodynamic properties of QCD matter…

Nuclear Theory · Physics 2024-03-12 Jianing Li , Lipei Du , Shuzhe Shi

We introduce a theoretical approach to study the quantum-dissipative dynamics of electronic excitations in macromolecules, which enables to perform calculations in large systems and cover long time intervals. All the parameters of the…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 S. A Beccara , F. Mascherpa , E. Schneider , P. Faccioli

The quantum statistics of damped optical solitons is studied using cumulant-expansion techniques. The effect of absorption is described in terms of ordinary Markovian relaxation theory, by coupling the optical field to a continuum of…

Quantum Physics · Physics 2009-10-31 E. Schmidt , L. Knoell , D. -G. Welsch

This article describes a method for computing limits of a class of non-stationary Markov chains motivated by healthcare sojourn-time cycles. A mathematical validation of the computation method is also given. Applications are described that…

Probability · Mathematics 2024-11-19 Samuel Awoniyi

Many-particle quantum systems often give rise to exotic behaviors in their nonequilibrium dynamics that are rather challenging to reveal with analytical methods or with classical computation. Here, we consider the case of a system of many…

Quantum Physics · Physics 2026-03-16 Vincent Iglesias-Cardinale , Shreekanth S. Yuvarajan , Herbert F. Fotso

For complex nonlinear systems, it is challenging to design algorithms that are fast, scalable, and give an accurate approximation of the stability region. This paper proposes a sampling-based approach to address these challenges. By…

Systems and Control · Electrical Eng. & Systems 2024-05-24 Péter Antal , Tamás Péni , Roland Tóth

We use the inchworm Quantum Monte Carlo method to investigate the full counting statistics of particle and energy currents in a strongly correlated quantum dot. Our method is used to extract the heat fluctuations and entropy production of a…

Mesoscale and Nanoscale Physics · Physics 2019-10-23 Michael Ridley , Michael Galperin , Emanuel Gull , Guy Cohen

We review various numerical approaches to compute transport coefficients in molecular dynamics. These approaches can be broadly classified into three groups: (i) nonequilibrium methods based on applying an external driving field to the…

Within the second-order non-Markovian master equation description, we develop an efficient method for calculating the noise spectrum of transport current through interacting mesoscopic systems. By introducing proper current-related density…

Mesoscale and Nanoscale Physics · Physics 2023-01-04 Yishan Xu , Jinshuang Jin , Shikuan Wang , YiJing Yan

Based on the concept of a nonequilibrium steady state, we present a novel method to experimentally determine energy landscapes acting on colloidal systems. By measuring the stationary probability distribution and the current in the system,…

Soft Condensed Matter · Physics 2007-06-20 V. Blickle , T. Speck , U. Seifert , C. Bechinger

Current dynamical control based on the bang-bang control mechanism involving various types of pulse sequences is essentially a perturbative theory. This paper presents a non-perturbative dynamical control approach based on the exact…

Quantum Physics · Physics 2013-09-03 Jun Jing , Lian-Ao Wu , J. Q. You , Ting Yu