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We investigate quantum work statistics within the standard two-point measurement (TPM) scheme in continuously monitored quantum systems, including the effects of generalized unitary evolution, possibly controlled by quantum circuit models,…

量子物理 · 物理学 2026-01-22 Manali Malakar , Alessandro Silva

We give a quantum version of the Jarzynski relation between the distribution of work done over a certain time-interval on a system and the difference of equilibrium free energies. The main new ingredient is the identification of work…

凝聚态物理 · 物理学 2015-05-26 Wojciech De Roeck , Christian Maes

In this work, we study the wavefunctions of the one dimensional $1/r$ Hubbard model in the strong interaction limit $U =\infty$. A set of Gutzwiller-Jastorw wavefunctions are shown to be eigen-functions of the Hamiltonian. The entire…

凝聚态物理 · 物理学 2019-08-15 D. F. Wang Joseph Henry , Q. F. Zhong , P. Coleman Serin

We analyze the distribution of heat generated in driven single-electron transitions and discuss the related non-equilibrium work theorems. In the adiabatic limit, the heat distribution is shown to become Gaussian, with the heat noise that,…

介观与纳米尺度物理 · 物理学 2015-05-28 Dmitri V. Averin , Jukka P. Pekola

The asymptotic behaviour of the work probability distribution in driven non-equilibrium systems is determined using the method of optimal fluctuations. For systems described by Langevin dynamics the corresponding Euler-Lagrange equation…

统计力学 · 物理学 2013-05-29 A. Engel

The Sagdeev-Zaslavski (SZ) equation for wave turbulence is analytically derived, both in terms of generating function and of multi-point pdf, for weakly interacting waves with initial random phases. When also initial amplitudes are random,…

统计力学 · 物理学 2017-09-12 Sergio Chibbaro , Giovanni Dematteis , Christophe Josserand , Lamberto Rondoni

Non-equilibrium quantum thermodynamics is essential to describe new devices that operate far from the regime where the usual thermodynamical laws are obeyed. When quantum fluctuations dominate, defining and measuring work and heat, two…

A main goal of single-molecule experiments is to evaluate equilibrium free energy differences by applying fluctuation relations to repeated work measurements along irreversible processes. We quantify the error that is made in a free energy…

统计力学 · 物理学 2009-06-22 Alessandro Mossa , Sara de Lorenzo , Josep Maria Huguet , Felix Ritort

The relation between the work performed to a system and the change of its free energy during a certain process is important in nonequilibrium statistical mechanics. In particular, the work relation with measurement and feedback control has…

统计力学 · 物理学 2018-11-26 Hideyuki Miyahara , Kazuyuki Aihara

Jarzynski equality and related fluctuation theorems can be formulated for various setups. Such an equality was recently derived for nonunitary quantum evolutions described by unital quantum operations, i.e., for completely positive,…

量子物理 · 物理学 2014-01-24 Alexey E. Rastegin , Karol Życzkowski

Bridging equilibrium and nonequilibrium statistical physics attracts sustained interest. Hallmarks of nonequilibrium systems include a breakdown of detailed balance, and an absence of a priori potential function corresponding to the…

统计力学 · 物理学 2015-04-24 Ying Tang , Ruoshi Yuan , Jianhong Chen , Ping Ao

A generic model of stochastic autocatalytic dynamics with many degrees of freedom $w_i$ $i=1,...,N$ is studied using computer simulations. The time evolution of the $w_i$'s combines a random multiplicative dynamics $w_i(t+1) = \lambda…

统计力学 · 物理学 2009-10-31 Ofer Malcai , Ofer Biham , Sorin Solomon

We show that steady-state probabilities of a nonequilibrium Markovian system can be reconstructed from a weighted ensemble average of finite-time loop-erased paths. Each path $\Gamma$ is weighted by $e^{-S(\Gamma)}$, where $S(\Gamma)$ can…

统计力学 · 物理学 2024-10-15 Ugur Cetiner

Since Newton's time, deterministic causality has been considered a crucial prerequisite in any fundamental theory in physics. In contrast, the present work investigates stochastic dynamical models for motion in one spatial dimension, in…

统计力学 · 物理学 2025-02-04 Bing Miao , Hong Qian , Yong-Shi Wu

We determine the joint probability density function (JPDF) of reflection eigenvalues in three Dyson's ensembles of normal-conducting chaotic cavities coupled to the outside world through both ballistic and tunnel point contacts. Expressing…

介观与纳米尺度物理 · 物理学 2015-06-03 Andrzej Jarosz , Pedro Vidal , Eugene Kanzieper

A linear Boltzmann equation with nonautonomous collision operator is rigorously derived in the Boltzmann-Grad limit for the deterministic dynamics of a Rayleigh gas where a tagged particle is undergoing hard-sphere collisions with…

偏微分方程分析 · 数学 2019-04-24 Karsten Matthies , George Stone

We discuss a nonlinear model for the relaxation by energy redistribution within an isolated, closed system composed of non-interacting identical particles with energy levels e_i with i=1,2,...,N. The time-dependent occupation probabilities…

量子物理 · 物理学 2010-07-20 Gian Paolo Beretta

The position-dependent exact-exchange energy per particle $\varepsilon_x(z)$ (defined as the interaction between a given electron at $z$ and its exact-exchange hole) at metal surfaces is investigated, by using either jellium slabs or the…

其他凝聚态物理 · 物理学 2015-05-14 C. M. Horowitz , L. A. Constantin , C. R. Proetto , J. M. Pitarke

We extend the quantum jump method to nearly adiabatically driven open quantum systems in a way that allows for an accurate account of the external driving in the system-environment interaction. Using this framework, we construct the…

量子物理 · 物理学 2015-03-30 S. Suomela , J. Salmilehto , I. G. Savenko , T. Ala-Nissila , M. Möttönen

The free-energy difference $\Delta F$ between two high-dimensional systems is notoriously difficult to compute, but very important for many applications, such as drug discovery. We demonstrate that an unconventional definition of work…

软凝聚态物质 · 物理学 2024-10-24 Adrianne Zhong , Benjamin Kuznets-Speck , Michael R. DeWeese