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We present a perspective of simple models of nonequilibrium directed transport described in terms of a Langevin equation formalism. We consider a Brownian particle under various circumstances and driven by thermal (equilibrium) and…

Statistical Mechanics · Physics 2024-06-04 J. Spiechowicz , J. Łuczka

We apply the path-integral formalism to compute the anomalies in general orbifold gauge theories (including possible non-trivial Scherk-Schwarz boundary conditions) where a gauge group G is broken down to subgroups H_f at the fixed points…

High Energy Physics - Theory · Physics 2009-11-10 Gero von Gersdorff , Mariano Quiros

This paper is concerned with some stronger forms of transitivity in non-autonomous discrete systems$(f_{ 1,\infty})$ generated by a uniformly convergent sequence of continuous self maps. Firstly, we present two counterexamples to show that…

Dynamical Systems · Mathematics 2025-06-02 Hongbo Zeng

We investigate entanglement dynamics in continuously monitored open quantum systems featuring current-carrying non-equilibrium states. We focus on a prototypical one-dimensional model of boundary-driven non-interacting fermions with…

Statistical Mechanics · Physics 2022-07-12 Xhek Turkeshi , Lorenzo Piroli , Marco Schirò

Depending on how the dynamical activity of a particle in a random environment is influenced by an external field $E$, its differential mobility at intermediate $E$ can turn negative. We discuss the case where for slowly changing random…

Statistical Mechanics · Physics 2014-06-13 Urna Basu , Christian Maes

Recent works have derived non-asymptotic upper bounds for convergence of underdamped Langevin MCMC. We revisit these bound and consider introducing scaling terms in the underlying underdamped Langevin equation. In particular, we provide…

Machine Learning · Statistics 2019-12-09 Tim Zajic

Using a minimal-coupling-scheme we investigate the quantum Brownian motion of a particle in an anisotropic-dissipative-medium under the influence of an arbitrary potential in both relativistic and non-relativistic regimes. A general quantum…

Quantum Physics · Physics 2015-06-17 Ehsan Amooghorban , Fardin Kheirandish

We introduce a stochastic optimal transport for the Langevin dynamics with positive mass and study its zero--mass limit. The new aspect of this paper is that we only fix the initial and terminal probability distributions of the positions of…

Probability · Mathematics 2025-10-16 Toshio Mikami

In this paper we present rigorous results on the critical behavior of the Activated Random Walk model. We conjecture that on a general class of graphs, including $\mathbb{Z}^d$, and under general initial conditions, the system at the…

Probability · Mathematics 2018-06-12 Manuel Cabezas , Leonardo T. Rolla , Vladas Sidoravicius

A large class of quantum and statistical field theoretical models, encompassing relevant condensed matter and non-abelian gauge systems, are defined in terms of complex actions. As the ordinary Monte-Carlo methods are useless in dealing…

Statistical Mechanics · Physics 2009-11-11 L. Moriconi , M. Moriconi

We comment on the so-called negative-result experiments (also known as null measurements, interaction-free measurements, and so on) in quantum mechanics (QM), in the light of the new general understanding of the quantum-measurement…

Quantum Physics · Physics 2024-10-10 Kenichi Konishi

This is a general description of a probabilistic formalism of mechanics, i.e., an extension of the Newtonian mechanics principles to the systems undergoing random motion. From an analysis of the induction procedure from experimental data to…

Statistical Mechanics · Physics 2010-03-29 Qiuping A. Wang

We present a nonperturbative and formally exact approach for the charge transport in interacting nanojunctions based on a real time path integral formulation of the reduced system dynamics. An expansion of the influence functional in terms…

Mesoscale and Nanoscale Physics · Physics 2022-03-28 L. Magazzù , M. Grifoni

The total angular momentum of a close system is a conserved quantity, which should remain constant in time for any excitation experiment once the pumping signal has extinguished. Such conservation, however, is never satisfied in practice in…

Mesoscale and Nanoscale Physics · Physics 2022-04-13 Jacopo Simoni , Stefano Sanvito

First-order nonequilibrium phase transitions observed in active matter, fluid dynamics, biology, climate science, and other systems with irreversible dynamics are challenging to analyze because they cannot be inferred from a simple free…

Statistical Mechanics · Physics 2022-06-06 Ruben Zakine , Eric Vanden-Eijnden

In a Nature LETTER [1], a control of neutron angular momentum was apparently demonstrated using a neutron crystal interferometer. In the meantime, a number of highly interesting articles have been published dealing with the n-OAM and…

Quantum Physics · Physics 2023-09-08 Wolfgang Treimer , Frank Haußer , Martin Suda

This paper establishes new connections between many-body quantum systems, One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT), by interpreting the problem of computing the ground-state energy of a finite…

Mathematical Physics · Physics 2021-07-22 Dario Feliciangeli , Augusto Gerolin , Lorenzo Portinale

We derive general properties of the linear response functions of nonequilibrium steady states in Langevin systems. These correspond to extension of the results which were recently found in Hamiltonian systems [A. Shimizu and T. Yuge, J.…

Statistical Mechanics · Physics 2015-05-19 Tatsuro Yuge

Conditional von Neumann entropy is an intriguing concept in quantum information theory. In the present work, we examine the effect of global unitary operations on the conditional entropy of the system. We start with the set containing…

Quantum Physics · Physics 2018-06-01 Subhasree Patro , Indranil Chakrabarty , Nirman Ganguly

We study the computation of the rate-distortion-perception function (RDPF) for discrete memoryless sources subject to a single-letter average distortion constraint and a perception constraint belonging to the family of $f$-divergences. In…

Information Theory · Computer Science 2025-09-11 Giuseppe Serra , Photios A. Stavrou , Marios Kountouris