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We consider a feedback control loop rectifying particle transport through a single quantum dot that is coupled to two electronic leads. While monitoring the occupation of the dot, we apply conditional control operations by changing the…

Statistical Mechanics · Physics 2018-05-09 Gernot Schaller , Javier Cerrillo , Georg Engelhardt , Philipp Strasberg

Maxwells Demon is a mythical being, first described by the physicist James Clerk Maxwell (although named Maxwells Demon by Lord Kelvin). Maxwell used it in a thought experiment to potentially violate the Second Law of Thermodynamics by…

History and Overview · Mathematics 2026-03-09 James Stein

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

We introduce a new numerical method for the time-dependent Maxwell equations on unstructured meshes in two space dimensions. This relies on the introduction of a new mesh, which is the barycentric-dual cellular complex of the starting…

Computational Physics · Physics 2023-02-13 Bernard Kapidani , Lorenzo Codecasa , Joachim Schöberl

Momentum is a widely used technique for gradient-based optimizers in deep learning. In this paper, we propose a decaying momentum (\textsc{Demon}) rule. We conduct the first large-scale empirical analysis of momentum decay methods for…

Machine Learning · Computer Science 2021-07-02 John Chen , Cameron Wolfe , Zhao Li , Anastasios Kyrillidis

In the case of fully chaotic systems the distribution of the Poincare'recurrence times is an exponential whose decay rate is the Kolmogorov-Sinai(KS) entropy.We address the discussion of the same problem, the connection between dynamics and…

Statistical Mechanics · Physics 2015-06-24 Gerardo Aquino , Paolo Grigolini , Nicola Scafetta

Recent implementations of Maxwell demons and other devices exhibiting asymmetric response to particles incident from opposite directions have raised conceptual and practical interest. According to quantum-scattering-theory selection rules,…

Quantum Physics · Physics 2025-03-10 Andreas Ruschhaupt , Juan Gonzalo Muga

The one dimensional motion of a massless Brownian particle on a symmetric periodic substrate can be rectified by re-injecting its driving noise through a realistic recycling procedure. If the recycled noise is multiplicatively coupled to…

Statistical Mechanics · Physics 2009-11-11 M. Borromeo , S. Giusepponi , F. Marchesoni

We introduce a new class of first passage time optimization driven by threshold resetting, inspired by many natural processes where crossing a critical limit triggers failure, degradation or transition. In here, search agents are…

Statistical Mechanics · Physics 2026-01-22 Arup Biswas , Satya N Majumdar , Arnab Pal

We introduce an information heat engine that is autonomous (i.e., without any time-dependent parameter) but has separated measurement and feedback processes. This model serves as a bridge between the other types of information heat engines…

Statistical Mechanics · Physics 2015-04-24 Naoto Shiraishi , Sosuke Ito , Kyogo Kawaguchi , Takahiro Sagawa

Stochastic resetting is known for its ability to accelerate search processes and induce non-equilibrium steady states. Here, we compare the relaxation times and resulting steady states of resetting and thermal relaxation for Brownian motion…

Statistical Mechanics · Physics 2025-10-31 Nir Sherf , Remi Goerlich , Barak Hirshberg , Yael Roichman

Information engines model ``Maxwell's demon" mechanistically. However, the demon's strategy is pre-described by an external experimenter, and information engines are conveniently designed such that observables contain complete information…

Statistical Mechanics · Physics 2024-07-15 Dorian Daimer , Susanne Still

The averaged steady-state surprisal links a driven stochastic system's information processing to its nonequilibrium thermodynamic response. By explicitly accounting for the effects of nonequilibrium steady states, a decomposition of the…

Statistical Mechanics · Physics 2023-06-07 Mikhael T. Semaan , James P. Crutchfield

We report two results complementing the second law of thermodynamics for Markovian open quantum systems coupled to multiple reservoirs with different temperatures and chemical potentials. First, we derive a nonequilibrium free energy…

Statistical Mechanics · Physics 2019-04-18 Krzysztof Ptaszynski , Massimiliano Esposito

We generalize stochastic thermodynamics to include information reservoirs. Such information reservoirs, which can be modeled as a sequence of bits, modify the second law. For example, work extraction from a system in contact with a single…

Statistical Mechanics · Physics 2014-11-17 Andre C. Barato , Udo Seifert

Stochastic resetting has emerged as a useful strategy to reduce the completion time for a broad class of first passage processes. In the canonical setup, one intermittently resets a given system to its initial configuration only to start…

Statistical Mechanics · Physics 2025-01-28 Arup Biswas , Ashutosh Dubey , Anupam Kundu , Arnab Pal

We investigate the role of stochastic resetting in non-Markovian systems, where memory effects arise due to slow relaxation, rugged energy landscapes, disordered environments, and molecular crowding. Using the celebrated continuous-time…

Statistical Mechanics · Physics 2026-04-13 Suvam Pal , Rahul Das , Arnab Pal

Stochastic restarting is a strategy of starting anew. Incorporation of the resetting to the random walks can result in the decrease of the mean first passage time, due to the ability to limit unfavorably meandering, sub-optimal…

Statistical Mechanics · Physics 2023-11-08 Karol Capała , Bartłomiej Dybiec

We develop the theory of Energy Conserving Descent (ECD) and introduce ECDSep, a gradient-based optimization algorithm able to tackle convex and non-convex optimization problems. The method is based on the novel ECD framework of…

Machine Learning · Computer Science 2023-06-02 G. Bruno De Luca , Alice Gatti , Eva Silverstein

Thermodynamics establishes that information acquired through measurement can be converted into work, as exemplified by Maxwell's demon and Szilard engines. Most experimental realizations of information engines, however, implicitly assume…

Soft Condensed Matter · Physics 2026-03-09 Lokesh Muruga , Felix Ginot , Sarah A. M. Loos , Clemens Bechinger
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