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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,…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Dmitri V. Averin , Jukka P. Pekola

We discuss a simple but experimentally realistic model system, a single-electron box (SEB), where common fluctuation relations can be tested for driven electronic transitions. We show analytically that when the electron system on the SEB…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 J. P. Pekola , A. Kutvonen , T. Ala-Nissila

We present a generalization of Jarzynski's Equality, applicable to quantum systems, relating discretized mechanical work and free-energy changes. The theory is based on a step-wise pulling protocol. We find that work distribution functions…

Quantum Physics · Physics 2012-09-21 Van A. Ngo , Stephan Haas

We use trajectory averaging to show that the energy dissipated in the nonequilibrium energy-state transitions of a driven two-state system satisfies a fluctuation-dissipation relation. This connection between the average energy dissipation…

Mesoscale and Nanoscale Physics · Physics 2023-05-16 Tuomas Pyhäranta , Luca Peliti , Jukka P. Pekola

We consider in this paper, a few important issues in non-equilibrium work fluctuations and their relations to equilibrium free energies. First we show that Jarzynski identity can be viewed as a cumulant expansion of work. For a switching…

Statistical Mechanics · Physics 2015-05-20 M Suman Kalyan , G Anjan Prasad , V S S Sastry , K P N Murthy

We present a general scheme to obtain work distribution in closed systems under continuous quantum histories of corresponding "power" operator. The scheme is tested by analytically calculating the quantum work distribution for a prototype…

Statistical Mechanics · Physics 2013-04-24 Huanan Li , Jian-Sheng Wang

We study out-of equilibrium properties of a quantum dot in a GaAs/AlGaAs two-dimensional electron gas. By means of single electron counting experiments, we measure the distribution of work and dissipated heat of the driven quantum dot and…

We derive and solve a differential equation satisfied by the probability distribution of the work done on a single biomolecule in a mechanical unzipping experiment. The unzipping is described as a thermally activated escape process in an…

Soft Condensed Matter · Physics 2007-05-23 Alberto Imparato , Luca Peliti

Electron transfer coupled to a collective vibronic degree of freedom is studied in strongly condensed phase and at lower temperatures where quantum fluctuations are essential. Based on an exact representation of the reduced density matrix…

Statistical Mechanics · Physics 2009-11-10 Joachim Ankerhold , Hartwig Lehle

The excess work required to drive a stochastic system out of thermodynamic equilibrium through a time-dependent external perturbation is directly related to the amount of entropy produced during the driving process, allowing excess work and…

Statistical Mechanics · Physics 2021-03-15 Steven J Large , Jannik Ehrich , David A Sivak

We have analyzed energy dissipation in a digital device (``Single-Electron Parametron'') in which discrete degrees of freedom are used for presenting digital information. If the switching speed is not too high, the device may operate…

Condensed Matter · Physics 2009-10-28 Konstantin K. Likharev , Alexander N. Korotkov

We study admittance and energy dissipation in an out-of-equlibrium single electron box. The system consists of a small metallic island coupled to a massive reservoir via single tunneling junction. The potential of electrons in the island is…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Ya. I. Rodionov , I. S. Burmistrov

In many real-world situations, there are constraints on the ways in which a physical system can be manipulated. We investigate the entropy production (EP) and extractable work involved in bringing a system from some initial distribution $p$…

Statistical Mechanics · Physics 2022-11-22 Artemy Kolchinsky , David H. Wolpert

We analyze work done on a quantum system driven by a control field. The average work depends on the whole dynamics of the system, and is obtained as the integral of the average power operator. As a specific example we focus on a…

Quantum Physics · Physics 2013-03-06 Paolo Solinas , Dmitri V. Averin , Jukka P. Pekola

Recent progress on micro- and nanometer scale manipulation has opened the possibility to probe systems small enough that thermal fluctuations of energy and coordinate variables can be significant compared with their mean behavior. We…

Mesoscale and Nanoscale Physics · Physics 2012-11-02 O. -P. Saira , Y. Yoon , T. Tanttu , M. Möttönen , D. V. Averin , J. P. Pekola

This paper considers work extraction from a quantum system to a work storage system (or weight) following reference [1]. An alternative approach is here developed that relies on the comparison of subspace dimensions without a need to…

Quantum Physics · Physics 2016-04-07 J. Gemmer , J. Anders

The Jarzynski equality relates the free energy difference between two equilibrium states to the fluctuating irreversible work afforded to switch between them. The prescribed fixed temperature for the equilibrium states implicitly constrains…

Statistical Mechanics · Physics 2020-09-03 Tobias Thalheim , Marco Braun , Gianmaria Falasco , Klaus Kroy , Frank Cichos

The study of thermodynamic fluctuations allows one to relate the free energy difference between two equilibrium states with the work done on a system through processes far from equilibrium. This finding plays a crucial role in the quantum…

When a thermally isolated system performs a driving process in the quasistatic regime, its variation of average energy is equal to its quasistatic work. Even though presenting this simple definition, few attempts have been made to describe…

Statistical Mechanics · Physics 2025-02-17 Pierre Nazé

In slowly driven classical systems, work is a stochastic quantity and its probability distribution is known to satisfy the work fluctuation-dissipation relation, which states that the mean and variance of the dissipated work are linearly…

Quantum Physics · Physics 2024-11-20 Jian Li , Mark T. Mitchison , Saulo V. Moreira
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