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The standard approach to deriving fluctuation theorems fails to capture the effect of quantum correlation and coherence in the initial state of the system. Here we overcome this difficulty and derive heat exchange fluctuation theorem in the…

Quantum Physics · Physics 2020-09-30 Amikam Levy , Matteo Lostaglio

We study heat current and the full statistics of heat fluctuations in a capacitively-coupled double quantum dot system. This work is motivated by recent theoretical studies and experimental works on heat currents in quantum dot circuits. As…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Hari Kumar Yadalam , Upendra Harbola

The statistics of heat exchange between two classical or quantum finite systems initially prepared at different temperatures are shown to obey a fluctuation theorem.

Statistical Mechanics · Physics 2009-11-10 Christopher Jarzynski , Daniel K. Wojcik

We give a perturbative analysis of Crooks relation and Jarzynski equality in an arbitrary driven quantum system weakly coupled to a heat bath. Invoking no efficient Hamiltonian nor any restriction on the form of the coupling, we derive the…

Statistical Mechanics · Physics 2017-09-15 Yi Peng , Heng Fan

Of indisputable relevance for non-equilibrium thermodynamics, fluctuations theorems have been generalized to the framework of quantum thermodynamics, with the notion of work playing a key role in such contexts. The typical approach consists…

Quantum Physics · Physics 2023-06-28 Thales Augusto Barbosa Pinto Silva , Renato Moreira Angelo

Absorption refrigerators transfer thermal energy from a cold bath to a hot bath without input power by utilizing heat from an additional "work" reservoir. Particularly interesting is a three-level design for a quantum absorption…

Mesoscale and Nanoscale Physics · Physics 2018-06-06 Dvira Segal

We derive detailed and intergral fluctuation relations as well as a Thermodynamic Uncertainty Relation constraining the exchange statistics of an arbitrary number of non-commuting conserved quantities among two quantum systems in transport…

Quantum Physics · Physics 2026-04-23 Matteo Scandi , Gonzalo Manzano

We consider the temperature fluctuations of a small object. Classical fluctuations of the temperature have been considered for a long time. Using the Nyquist approach, we show that the temperature of an object fluctuates when in a thermal…

Statistical Mechanics · Physics 2015-06-24 A. V. Balatsky , Jian-Xin Zhu

A quantum-mechanical analog of the Carnot engine reversibly working at vanishing temperature, shortly termed the quantum-mechanical Carnot engine, is discussed. A general formula for the efficiency of such an engine with an arbitrary…

Statistical Mechanics · Physics 2013-04-18 Sumiyoshi Abe

The housekeeping heat $Q\hk$ is the dissipated heat necessary to maintain the violation of detailed balance in nonequilibrium steady states. By analyzing the evolution of its probability distribution, we prove an integral fluctuation…

Statistical Mechanics · Physics 2007-05-23 T. Speck , U. Seifert

We formulate a full-counting statistics description to study energy exchange in multi-terminal junctions. Our approach applies to quantum systems that are coupled either additively or non-additively (cooperatively) to multiple reservoirs.…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 Hava Meira Friedman , Bijay Kumar Agarwalla , Dvira Segal

Mesoscopic thermoelectric heat engine is much anticipated as a device that allows us to utilize with high efficiency wasted heat inaccessible by conventional heat engines. However, the derivation of the heat current in this engine seems to…

Statistical Mechanics · Physics 2015-11-24 Kaoru Yamamoto , Naomichi Hatano

We show how to use a central limit approximation for additive co-cycles to describe non-equilibrium and far from equilibrium thermodynamic behavior. We consider first two weakly coupled Hamiltonian dynamical systems initially at different…

Statistical Mechanics · Physics 2012-04-11 Hans Henrik Rugh

The present work extends the well-known thermodynamic relation $C=\beta ^{2}< \delta {E^{2}}>$ for the canonical ensemble. We start from the general situation of the thermodynamic equilibrium between a large but finite system of interest…

Statistical Mechanics · Physics 2009-10-15 L. Velazquez , S. Curilef

Fluctuations of thermodynamic quantities become non-negligible and play an important role when the system size is small. We develop finite-time thermodynamics of fluctuations in microscopic heat engines whose environmental temperature and…

Statistical Mechanics · Physics 2022-02-16 Gentaro Watanabe , Yuki Minami

We investigate fluctuations of output work for a class of Stirling heat engines with working fluid composed of interacting units and compare these fluctuations to an average work output. In particular, we focus on engine performance close…

Statistical Mechanics · Physics 2017-09-08 Viktor Holubec , Artem Ryabov

Here, we investigate the maximum power and corresponding efficiency of thermoelectric generators through devising a set of protocols for the isothermal and adiabatic processes of thermoelectricity to build a Carnot-like thermoelectric…

Applied Physics · Physics 2023-11-28 Yuchao Hua , Lingai Luo , Zeng-Yuan Guo

The laws of thermodynamics strongly restrict the performance of thermal machines. Standard thermodynamics, initially developed for uncorrelated macroscopic systems, does not hold for microscopic systems correlated with their environments.…

Quantum Physics · Physics 2025-11-13 Milton Aguilar , Eric Lutz

It was reported that, if and only if the specific heat, correlation length, and dynamical exponents $\alpha, \nu$ and $z$, fulfill the condition $\alpha-z\nu>0$, the phase transitions can enable a quantum heat engine to approach Carnot…

Statistical Mechanics · Physics 2022-02-16 Jianhui Wang , Jizhou He , Yongli Ma

According to classical Boltzmannian thermodynamics, the efficiency of a cyclic machine is strictly lower than one. Such a result is a straightforward consequence of the second principle of thermodynamics. Recent advances in the study of the…

Statistical Mechanics · Physics 2011-03-29 Duccio Fanelli , Giovanni De Ninno , Alessio Turchi
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