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A quantum dot is a sub-micron-scale conducting device containing up to several thousand electrons. Transport through a quantum dot at low temperatures is a quantum-coherent process. This review focuses on dots in which the electron's…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Y. Alhassid

Nonequilibrium systems exchange the energy with an environment in the form of work and heat. The work done on a system obeys the fluctuation theorem, while the dissipated heat which differs from the work by the internal energy change does…

Statistical Mechanics · Physics 2014-02-04 Jae Dong Noh

The electrical and heat currents flowing through a quantum dot are calculated in the presence of a time-modulated gate voltage with the help of the out-of-equilibrium Green function technique. From the first harmonics of the currents, we…

Mesoscale and Nanoscale Physics · Physics 2017-09-05 Adeline Crépieux

A quantum dot driven by two ac gate potentials oscillating with a phase lag may be regarded as a quantum engine, where energy is transported and dissipated in the form of heat. In this chapter we introduce a microscopic model for a quantum…

Mesoscale and Nanoscale Physics · Physics 2014-05-29 L. Arrachea , M. Moskalets

We use a relationship between response and correlation function in nonequilibrium systems to establish a connection between the heat production and the deviations from the equilibrium fluctuation-dissipation theorem. This scheme extends the…

Statistical Mechanics · Physics 2014-04-11 E. Lippiello , M. Baiesi , A. Sarracino

Heat fluctuations of a harmonic oscillator in contact with a thermostat and driven out of equilibrium by an external deterministic force are studied experimentally and theoretically within the context of Fluctuation Theorems. We consider…

Statistical Mechanics · Physics 2007-05-23 Sylvain Joubaud , Nicolas B. Garnier , Sergio Ciliberto

We address the question of transport of heat, in out-of-equilibrium systems. The experimental set-up consists in two coupled granular gas Non-Equilibrium Steady State (NESS) heat baths, in which Brownian-like rotors are imbedded. These…

Statistical Mechanics · Physics 2021-05-05 Mona Lamèche , Antoine Naert

The large-deviation method can be used to study the measurement trajectories of open quantum systems. For optical arrangements this formalism allows to describe the long time properties of the (non-equilibrium) photon counting statistics in…

Quantum Physics · Physics 2010-12-06 Adrian A. Budini

We present a fluctuation relation for heat dissipation in a nonequilibrium system. A nonequilibrium work is known to obey the fluctuation theorem in any time interval $t$. A heat, which differs from a work by an energy change, is shown to…

Statistical Mechanics · Physics 2012-06-19 Jae Dong Noh , Jong-Min Park

We analyze the time-resolved energy transport and the entropy production in ac-driven quantum coherent electron systems coupled to multiple reservoirs at finite temperature. At slow driving we formulate the first and second laws of…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 Maria Florencia Ludovico , Michael Moskalets , David Sanchez , Liliana Arrachea

We continue the investigation, started in [J. Stat. Phys. 166, 926-1015 (2017)], of a network of harmonic oscillators driven out of thermal equilibrium by heat reservoirs. We study the statistics of the fluctuations of the heat fluxes…

Mathematical Physics · Physics 2020-08-07 Mondher Damak , Mayssa Hammami , Claude-Alain Pillet

The heat flow between a quantum system and its reservoir is analyzed when initially both are in a separable thermal state and asymptotically approach a correlated equilibrium. General findings are illustrated for specific systems and…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Joachim Ankerhold , Jukka P. Pekola

In a stochastic heat engine driven by a cyclic non-equilibrium protocol, fluctuations in work and heat give rise to a fluctuating efficiency. Using computer simulations and tools from large deviation theory, we have examined these…

Statistical Mechanics · Physics 2014-10-27 Todd R. Gingrich , Grant M. Rotskoff , Suriyanarayanan Vaikuntanathan , Phillip L. Geissler

We analyze the noise properties of both electric charge and heat currents as well as their correlations in a quantum-dot based thermoelectric engine. The engine is a three-terminal conductor with crossed heat and charge flows where heat…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 Rafael Sánchez , Björn Sothmann , Andrew N. Jordan , Markus Büttiker

Energy dissipation in a nonequilibrium steady state is studied in driven quantum Langevin systems. We study energy dissipation flow to thermal environment, and obtain a general formula for the average rate of energy dissipation using an…

Statistical Mechanics · Physics 2009-11-13 Keiji Saito

We propose the implementation of a quantum heat pump with ultracold atoms. It is based on two periodically driven coherently coupled quantum dots using ultracold atoms. Each dot possesses two relevant quantum states and is coupled to a…

Quantum Gases · Physics 2020-04-15 Arko Roy , André Eckardt

This article reports on an experimental study of the fluctuations of energy flux between a granular gas and a small driven harmonic oscillator. The DC-motor driving this system is used simultaneously as actuator and probe. The statistics of…

Statistical Mechanics · Physics 2011-12-12 Antoine Naert

Two-state models provide phenomenological descriptions of many different systems, ranging from physics to chemistry and biology. We investigate work fluctuations in an ensemble of two-state systems driven out of equilibrium under the action…

Statistical Mechanics · Physics 2009-11-10 F. Ritort

The theory of quantum thermodynamics investigates how the concepts of heat, work, and temperature can be carried over to the quantum realm, where fluctuations and randomness are fundamentally unavoidable. These lecture notes provide an…

Quantum Physics · Physics 2026-04-17 Patrick P. Potts

Miniaturized heat engines constitutes a fascinating field of current research. They are being studied theoretically as well as experimentally, with experiments involving colloidal particles and harmonic traps and even bacterial baths acting…

Statistical Mechanics · Physics 2017-07-04 Debarshi Basu , Joydip Nandi , A. M. Jayannavar , Rahul Marathe