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Engineered dynamical maps combining coherent and dissipative transformations of quantum states with quantum measurements, have demonstrated a number of technological applications, and promise to be a crucial tool in quantum thermodynamic…

The Jarzynski relation is a recently discovered result relating the average exponential of the work done under nonequilibrium conditions to an equilibrium free energy difference. We illustrate this remarkable relation by considering the…

Statistical Mechanics · Physics 2007-05-23 Rhonald C. Lua

In scenarios coined Maxwell's demon, information on microscopic degrees of freedom is used to seemingly violate the second law of thermodynamics. This has been studied in the classical as well as the quantum domain. In this paper, we study…

A new thermoelectric effect mechanism inspired by an autonomous Maxwell's demon [P. Strasberg, G. Schaller, T. Brandes, and M. Esposito, Phys. Rev. Lett. 110, 040601 (2013)] is proposed. In contrast to the former work where a model for…

Mesoscale and Nanoscale Physics · Physics 2020-12-07 Yugo Onishi , Naoto Nagaosa

The work fluctuations of an oscillator in contact with a heat reservoir and driven out of equilibrium by an external force are studied experimentally. The oscillator dynamics is modeled by a Langevin equation. We find both experimentally…

Statistical Mechanics · Physics 2009-11-11 Frederic Douarche , Sergio Ciliberto , Artem Petrosyan

Nanomachines are often interpreted as autonomous Maxwell's demons or information engines. This interpretation is appealing from a conceptual viewpoint but sometimes lacks a rigorous and precise formulation. Moreover, it is unclear whether…

Mesoscale and Nanoscale Physics · Physics 2023-12-05 Juan Parrondo , Jorge Tabanera-Bravo , Federico Fedele , Natalia Ares

An autonomous out of equilibrium Maxwell's demon is used to reverse the natural direction of the heat flux between two electric circuits kept at different temperatures and coupled by the electric thermal noise. The demon does not process…

Statistical Mechanics · Physics 2020-12-30 Sergio Ciliberto

Converting information into work has during the last decade gained renewed interest as it gives insight into the relation between information theory and thermodynamics. Here we theoretically investigate an implementation of Maxwell's demon…

Mesoscale and Nanoscale Physics · Physics 2020-04-09 Björn Annby-Andersson , Peter Samuelsson , Ville F. Maisi , Patrick P. Potts

We implement a Szilard engine using a 2-bit logical unit consisting of inductively coupled quantum flux parametrons (QFPs) -- Josephson-junction superconducting circuits with applications in both the classical and quantum information…

Statistical Mechanics · Physics 2024-09-10 Kuen Wai Tang , Kyle J. Ray , James P. Crutchfield

We derive the work performed in the Szilard engine (SZE) by using dissipative work formula of non-equilibrium thermodynamics developed in Kawai et al. Phys. Rev. Lett. 98, 080602 (2007). The work is described as the difference of…

Statistical Mechanics · Physics 2011-08-29 Kang-Hwan Kim , Sang Wook Kim

In this study, we rederive the fluctuation theorems in presence of feedback, by assuming the known Jarzynski equality and detailed fluctuation theorems. We first reproduce the already known work theorems for a classical system, and then…

Statistical Mechanics · Physics 2015-05-30 Sourabh Lahiri , Shubhashis Rana , A. M. Jayannavar

In macroscopic systems behavior is usually reproducible and fluctuations, which are deviations from the typically observed mean values, are small. But almost all inverse problems in the physical and biological sciences are ill-posed and…

Statistical Mechanics · Physics 2017-08-09 Peter Burgholzer

Resolution of the century-long paradox on Maxwell's demon reveals a deep connection between information theory and thermodynamics. Although initially introduced as a thought experiment, Maxwell's demon can now be implemented in several…

The Jarzynski equality, which relates equilibrium free-energy difference to an average of non-equilibrium work, plays a central role in modern non-equilibrium statistical thermodynamics. In this paper, we study a weaker consequence of this…

Statistical Mechanics · Physics 2026-01-06 Dani R. Castellanos , Petr Jizba

Feedback control of open quantum systems is of fundamental importance for practical applications in various contexts, ranging from quantum computation to quantum error correction and quantum metrology. Its use in the context of…

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

A thermodynamic expression for the analog of the canonical ensemble for nonequilibrium systems is described based on a purely information theoretical interpretation of entropy. As an application, it is shown that this nonequilibrium…

Statistical Mechanics · Physics 2012-08-13 Maarten H. P. Ambaum

The Jarzynski equality (JE) provides a nonequilibrium method to measure and calculate the free energy difference (FED). Note that if two systems share the same Hamiltonian at two equilibrium states, respectively, they share the same FED…

Statistical Mechanics · Physics 2020-07-16 Liyun Zhu , Jiao Wang

Applying the method from recently developed fluctuation theorems to the stochastic dynamics of single macromolecules in ambient fluid at constant temperature, we establish two Jarzynski-type equalities: (1) between the log-mean-exponential…

Statistical Mechanics · Physics 2014-11-17 Hong Qian

Maxwell's demon is a special case of a feedback controlled system, where information gathered by measurement is utilized by driving a system along a thermodynamic process that depends on the measurement outcome. The demon illustrates that…

Statistical Mechanics · Physics 2015-06-16 Jordan M. Horowitz , Juan M. R. Parrondo