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We derive a thermodynamic uncertainty relation (TUR) for first-passage times (FPTs) on continuous time Markov chains. The TUR utilizes the entropy production coming from bidirectional transitions, and the net flux coming from unidirectional…

Statistical Mechanics · Physics 2021-08-11 Arnab Pal , Shlomi Reuveni , Saar Rahav

We study the effect of thermal equilibration on the transport properties of a weakly interacting one-dimensional electron system. Although equilibration is severely suppressed due to phase-space restrictions and conservation laws, it can…

Mesoscale and Nanoscale Physics · Physics 2011-04-04 Tobias Micklitz , Jérôme Rech , K. A. Matveev

We consider two modifications of a recently proposed three-terminal quantum dot heat engine. First, we investigate the necessity of the thermalization assumption, namely that electrons are always thermalized by inelastic processes when…

Mesoscale and Nanoscale Physics · Physics 2017-01-19 Christian H. Schiegg , Michael Dzierzawa , Ulrich Eckern

Many versions of Thermodynamic Uncertainty Relations (TUR) have recently been discovered, which impose lower bounds on relative fluctuations of integrated currents in irreversible dissipative processes, and suggest that there may be…

Statistical Mechanics · Physics 2022-06-28 Mingnan Ding , Chen Huang , Xiangjun Xing

Nanoscale heat engines are subject to large fluctuations which affect their precision. The Thermodynamic Uncertainty Relation (TUR) provides a trade-off between output power, fluctuations and entropic cost. This trade-off may be overcome by…

Quantum Physics · Physics 2021-08-04 Alex Arash Sand Kalaee , Andreas Wacker , Patrick P. Potts

We provide molecular dynamics simulation of heat transport in one-dimensional molecular chains with different interparticle pair potentials. We show that the thermal conductivity is finite in the thermodynamic limit in the chains with the…

Statistical Mechanics · Physics 2013-07-18 A. V. Savin , Yuriy A. Kosevich

Within quantum thermodynamics, many tasks are modelled by processes that require work sources represented by out-of-equilibrium quantum systems, often dubbed quantum batteries, in which work can be deposited or from which work can be…

Quantum Physics · Physics 2024-01-26 Pharnam Bakhshinezhad , Beniamin R. Jablonski , Felix C. Binder , Nicolai Friis

Fluctuations affect the functionality of nanodevices. Thermodynamic uncertainty relations (TURs), derived within the framework of stochastic thermodynamics, show that a minimal amount of dissipation is required to obtain a given relative…

Quantum Physics · Physics 2024-09-13 Luca Razzoli , Matteo Carrega , Fabio Cavaliere , Giuliano Benenti , Maura Sassetti

We consider two quantum Ising chains initially prepared at thermal equilibrium but with different temperatures and coupled at a given time through one of their end points. In the long-time limit the system reaches a non-equilibrium steady…

Strongly Correlated Electrons · Physics 2013-10-29 Andrea De Luca , Jacopo Viti , Denis Bernard , Benjamin Doyon

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 study bounds on ratios of fluctuations in steady-state time-reversal heat engines controlled by multi affinities. In the linear response regime, we prove that the relative fluctuations (precision) of the output current (power) is always…

Statistical Mechanics · Physics 2021-11-17 Sushant Saryal , Matthew Gerry , Ilia Khait , Dvira Segal , Bijay Kumar Agarwalla

We derive general trade-off relations among the power, efficiency, and constancy for two-terminal thermoelectric systems in the linear response regime. Constancy, which quantifies the steadiness of the heat engine, is measured by its…

Statistical Mechanics · Physics 2026-04-09 Ousi Pan , Zhiqiang Fan , Shunjie Zhang , Liwei Chen , Jincan Chen , Shanhe Su

We study the transport properties of long quantum wires by generalizing the Luttinger liquid approach to allow for the finite lifetime of the bosonic excitations. Our theory accounts for long-range disorder and strong electron interactions,…

Strongly Correlated Electrons · Physics 2015-11-13 Wade DeGottardi , K. A. Matveev

We have investigated the transport characteristics of an electron pump consisting of an asymmetric double quantum dot at zero bias voltage which is subject to electromagnetic radiation. Depending on the energies of the intermediate states…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 T. H. Stoof , Yu. V. Nazarov

Thermodynamic currents can fluctuate significantly at the nanoscale. But some currents fluctuate less than others. Hyperaccurate currents are those which fluctuate the least, in the sense that they maximize the signal-to-noise ratio…

Quantum Physics · Physics 2021-08-12 André , M. Timpanaro , Giacomo Guarnieri , Gabriel T. Landi

Thermoelectric transport coefficients are determined for semiconductor quantum wires with weak thickness fluctuations. Such systems exhibit anomalies in conductance near 1/4 and 3/4 of 2e^2/h on the rising edge to the first conductance…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 T. Rejec , A. Ramsak , J. H. Jefferson

Recent experiments at the nanoscales confirm that thermal rectifiers, the thermal equivalent of electrical diodes, can operate in the quantum regime. We present a thorough investigation of the effect of different particle exchange…

Mesoscale and Nanoscale Physics · Physics 2022-11-10 Stephania Palafox , Ricardo Román-Ancheyta , Barış Çakmak , Özgür E. Müstecaplıoğlu

The thermodynamic uncertainty relation, originally derived for classical Markov-jump processes, provides a trade-off relation between precision and dissipation, deepening our understanding of the performance of quantum thermal machines.…

Statistical Mechanics · Physics 2021-03-31 Junjie Liu , Dvira Segal

Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small systems. Their general validity arbitrarily far from equilibrium makes them invaluable in nonequilibrium physics. So far, experimental studies of…

In the present study, we investigate the full counting statistics in a two-terminal Aharonov-Bohm interferometer embedded with an interacting quantum dot. We introduce a novel saddle-point solution for a cumulant-generating function, which…

Mesoscale and Nanoscale Physics · Physics 2010-03-31 Yasuhiro Utsumi , Keiji Saito