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We compute the entropy reduction in feedback controlled systems due to the repeated operation of the controller. This was the lacking ingredient to establish the thermodynamics of these systems, and in particular of Maxwell's demons. We…

Statistical Mechanics · Physics 2009-04-12 F. J. Cao , M. Feito

Maxwell's demon elucidates the value of information in thermodynamics, using measurement and feedback: he evolves an equilibrated gas into a nonequilibrium state, from which one might extract work. The demon can evolve the system farther…

The gedanken experiment of Maxwell's demon has led to the studies concerning the foundations of thermodynamics and statistical mechanics. The demon measures fluctuations of a system's observable and converts the information gain into work…

Quantum Physics · Physics 2018-05-09 Y. Masuyama , K. Funo , Y. Murashita , A. Noguchi , S. Kono , Y. Tabuchi , R. Yamazaki , M. Ueda , Y. Nakamura

It is nearly 150 years since Maxwell challenged the validity of the second law of thermodynamics by imagining a tiny creature who could sort the molecules of a gas in such a way that would decrease entropy without exerting any work. The…

Statistical Mechanics · Physics 2016-08-24 Ian J. Ford

So far, feedback-driven systems have been discussed using (i) measurement and control, (ii) a tape interacting with a system or (iii) by identifying an implicit Maxwell demon in steady state transport. We derive the corresponding second…

Statistical Mechanics · Physics 2014-03-05 A. C. Barato , U. Seifert

An equation of state for an ideal gas with a small number of particles is studied. The resulting equation is found to differ from that expected in conventional thermodynamics, which is strikingly illustrated when considering the traditional…

Statistical Mechanics · Physics 2011-11-09 Tsuyoshi Hondou

Maxwell's Demon is at the heart of the interrelation between quantum information processing and thermodynamics. In this thought experiment, a demon generates a temperature gradient between two thermal baths initially at equilibrium by…

Maxwellian ratchets are autonomous, finite-state thermodynamic engines that implement input-output informational transformations. Previous studies of these "demons" focused on how they exploit environmental resources to generate work: They…

Statistical Mechanics · Physics 2020-09-02 Alexandra M. Jurgens , James P. Crutchfield

A Maxwell demon can reduce the entropy of a quantum system by performing measurements on its environment. The nonsignaling theorem prevents the demon from affecting the average state of the system. We study the preparations of quantum…

Quantum Physics · Physics 2022-07-19 Gang-Gang He , Fu-Lin Zhang

We propose and analyze Maxwell's demon based on a single qubit with avoided level crossing. Its operation cycle consists of adiabatic drive to the point of minimum energy separation, measurement of the qubit state, and conditional feedback.…

Statistical Mechanics · Physics 2016-01-20 J. P. Pekola , D. S. Golubev , D. V. Averin

Maxwell's demons work by rectifying thermal fluctuations. They are not expected to function at macroscopic scales where fluctuations become negligible and dynamics become deterministic. We propose an electronic implementation of an…

Statistical Mechanics · Physics 2022-10-05 Nahuel Freitas , Massimiliano Esposito

We study an autonomous quantum system which exhibits refrigeration under an information-work trade-off like a Maxwell demon. The system becomes correlated as a single "demon" qubit interacts sequentially with memory qubits while in contact…

Quantum Physics · Physics 2016-01-08 Adrian Chapman , Akimasa Miyake

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

The long-standing paradigm of Maxwell's demon is till nowadays a frequently investigated issue, which still provides interesting insights into basic physical questions. Considering a single-electron transistor, where we implement a Maxwell…

Quantum Physics · Physics 2018-02-08 G. Engelhardt , G. Schaller

We present an autonomous Maxwell's demon scheme. It is first analysed theoretically in term of information exchange in a closed system and then implemented experimentally with a single Rydberg atom and a high-quality microwave resonator.…

We introduce a family of Maxwellian Demons for which correlations among information bearing degrees of freedom can be calculated exactly and in compact analytical form. This allows one to precisely determine Demon functional thermodynamic…

Statistical Mechanics · Physics 2016-03-23 A. B. Boyd , D. Mandal , J. P. Crutchfield

We provide a unified thermodynamic formalism describing information transfers in autonomous as well as nonautonomous systems described by stochastic thermodynamics. We demonstrate how information is continuously generated in an auxiliary…

Statistical Mechanics · Physics 2014-08-06 Jordan M. Horowitz , Massimiliano Esposito

A CMOS-based implementation of an autonomous Maxwell's demon was recently proposed (Phys. Rev. Lett. 129, 120602) to demonstrate that a Maxwell demon can still work at macroscopic scales, provided that its power supply is scaled…

Statistical Mechanics · Physics 2023-02-08 Nahuel Freitas , Massimiliano Esposito

We describe a minimal model of a quantum Maxwell demon obeying Hamiltonian dynamics. The model is solved exactly, and we analyze its steady-state behavior. We find that writing information to a quantum memory induces a probability current…

Statistical Mechanics · Physics 2013-12-18 Sebastian Deffner

External piecewise-constant feedback control can modify energetic and entropic balances, allowing in extreme scenarios for Maxwell demon operational modes. Without specifying the actual implementation of external feedback loops, one can…

Statistical Mechanics · Physics 2024-07-30 Gernot Schaller