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Quantum Zeno effect is conventionally interpreted by the assumption of the wave-packet collapse, in which does not involve the duration of measurement. However, we predict duration $\tau_m$ of each measurement will appear in quantum Zeno…

Quantum Physics · Physics 2021-03-23 Wu Wang , Ruo-Xun Zhai , C. P. Sun

It has been established that the inclusive work for classical, Hamiltonian dynamics is equivalent to the two-time energy measurement paradigm in isolated quantum systems. However, a plethora of other notions of quantum work has emerged, and…

Statistical Mechanics · Physics 2021-04-08 Akira Sone , Sebastian Deffner

The quantum version of the Bochkov-Kuzovlev identity is derived on the basis of the appropriate definition of work as the difference of the measured internal energies of a quantum system at the beginning and at the end of an external action…

Statistical Mechanics · Physics 2010-12-14 Michele Campisi , Peter Talkner , Peter Hänggi

Work is one of the most basic notion in statistical mechanics, with work fluctuation theorems being one central topic in nanoscale thermodynamics. With Hamiltonian chaos commonly thought to provide a foundation for classical statistical…

Statistical Mechanics · Physics 2017-02-01 Jiawen Deng , Alvis Mazon Tan , Peter Hanggi , Jiangbin Gong

The formulation of the First and Second Principles of thermodynamics for a particle in contact with a heat bath and submitted to an external force is analyzed, by means of the Boltzmann-Lorentz kinetic equation. The possible definitions of…

Statistical Mechanics · Physics 2018-02-14 J. Javier Brey , M. J. Ruiz-Montero , Alvaro Dominguez

In this work, we study the fluctuation relation and the second law of thermodynamics within a quantum linear oscillator externally driven over the period of time t = tau. To go beyond the standard approach (the two-point projective…

Statistical Mechanics · Physics 2020-03-10 Ilki Kim

We study the quantum fluctuation theorem in the one-time measurement (OTM) scheme, where the work distribution of the backward process has been lacking and which is considered to be more informative than the two-time measurement (TTM)…

Quantum Physics · Physics 2023-11-20 Kenji Maeda , Tharon Holdsworth , Sebastian Deffner , Akira Sone

The quantum fluctuations of a physical property can be observed in the measurement statistics of any measurement that is at least partially sensitive to that physical property. Quantum theory indicates that the effective distribution of…

Quantum Physics · Physics 2020-12-25 Holger F. Hofmann

According to the Second Law of thermodynamics, the evolution of physical systems has a preferred direction, that is characterized by some positive entropy production. Here we propose a direct way to measure the stochastic entropy produced…

Quantum Physics · Physics 2020-11-13 Juliette Monsel , Cyril Elouard , Alexia Auffèves

In open quantum systems, a clear distinction between work and heat is often challenging, and extending the quantum Jarzynski equality to systems evolving under general quantum channels beyond unitality remains an open problem in quantum…

Quantum Physics · Physics 2020-08-10 Akira Sone , Yi-Xiang Liu , Paola Cappellaro

We study three aspects of work statistics in the context of the fluctuation theorem for the quantum spin chains up to $1024$ sites by numerical methods based on matrix-product states (MPS). First, we use our numerical method to evaluate the…

Statistical Mechanics · Physics 2024-04-30 Feng-Li Lin , Ching-Yu Huang

With the decline of the Copenhagen interpretation of quantum mechanics and the recent experiments indicating that quantum mechanics does actually embody 'objective reality', one might ask if a 'mechanical', conceptual model for quantum…

Quantum Physics · Physics 2014-06-23 Carl Frederick

In thermodynamics, entropy production and work quantify irreversibility and the consumption of useful energy, respectively, when a system is driven out of equilibrium. For quantum systems, these quantities can be identified at the…

Fluctuation relations (FRs) are among the few existing general results in non-equilibrium systems. Their verification requires the measurement of the total work (or entropy production) performed on a system. Nevertheless in many cases only…

Statistical Mechanics · Physics 2015-09-25 Marco Ribezzi-Crivellari , Felix Ritort

For a quantum system undergoing a unitary process work is commonly defined based on the Two Projective Measurement (TPM) protocol which measures the energies of the system before and after the process. However, it is well known that…

Quantum Physics · Physics 2017-11-22 P. Solinas , H. J. D. Miller , J. Anders

We investigate the formulation of work distributions for quantum scalar fields in static curved spacetimes by extending the Ramsey interferometric protocol originally developed in previous works for flat spacetimes. The use of Unruh-DeWitt…

Quantum Physics · Physics 2026-01-22 Rafael L. S. Costa , Marcos L. W. Basso , Jonas Maziero , Lucas C. Céleri

Regarded as one of the most fundamental concepts of classical mechanics and thermodynamics, work has received well-grounded definitions within the quantum framework since the 1970s, having being successfully applied to many contexts. Recent…

Quantum Physics · Physics 2021-10-22 Thales A. B. Pinto Silva , Renato M. Angelo

Work is an observable quantity associated with a process, however there is no Hermitian operator associated with its measurement. We consider an ancilla-assisted protocol measuring the work done on a quantum system driven by a…

Quantum Physics · Physics 2022-05-18 Shadi Ali Ahmad , Alexander R. H. Smith

The fluctuation-dissipation relation for the classical definition of work is extended to thermally isolated systems, in classical and quantum realms. From this, the optimal work variance is calculated, showing it achieves its minimum…

Statistical Mechanics · Physics 2023-11-01 Pierre Nazé

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…

Statistical Mechanics · Physics 2009-06-22 Alessandro Mossa , Sara de Lorenzo , Josep Maria Huguet , Felix Ritort
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