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We present a numerically exact method to compute the full counting statistics of heat transfer in non-Markovian open quantum systems, which is based on the time-evolving matrix product operator (TEMPO) algorithm. This approach is applied to…

We present a theoretical study of the quantum critical behavior in heat transport via a two-state system with sub-ohmic reservoirs. We calculate the temperature dependence of the thermal conductance near the quantum phase transition via the…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Tsuyoshi Yamamoto , Takeo Kato

We apply advanced methods of control theory to open quantum systems and we determine finite-time processes which are optimal with respect to thermodynamic performances. General properties and necessary conditions characterizing optimal…

Quantum Physics · Physics 2018-08-01 Vasco Cavina , Andrea Mari , Alberto Carlini , Vittorio Giovannetti

We propose a quantum heat engine composed of two superconducting transmission line resonators interacting with each other via an optomechanical-like coupling. One resonator is periodically excited by a thermal pump. The incoherently driven…

Quantum Physics · Physics 2017-12-27 Ali Ü. C. Hardal , Nur Aslan , C. M. Wilson , Özgür E. Müstecaplıoğlu

Collisional reservoirs are becoming a major tool for modelling open quantum systems. In their simplest implementation, an external agent switches on, for a given time, the interaction between the system and a specimen from the reservoir.…

We discuss the problem of heat conduction in classical and quantum low dimensional systems from a microscopic point of view. At the classical level we provide convincing numerical evidence for the validity of Fourier law of heat conduction…

Statistical Mechanics · Physics 2008-07-15 Giulio Casati , Carlos Mejia-Monasterio

Energy transport is a fundamental physical process that plays a prominent role in the function and performance of myriad systems and technologies. Recent experimental measurements have shown that subjecting a macroscale system to a…

Statistical Mechanics · Physics 2023-09-06 Renai Chen , Tammie Gibson , Galen T. Craven

A bath with a negative temperature is a subject of intense debate in recent times. It raises fundamental questions not only on our understanding of negative temperature of a bath in connection with thermodynamics but also on the…

Heat transport in the quantum Rabi model at weak interaction with the heat baths is controlled by the qubit-oscillator coupling. Universality of the linear conductance versus the temperature is found for $T\lesssim T_K$, with $T_K$ a…

Mesoscale and Nanoscale Physics · Physics 2025-02-05 L. Magazzù , E. Paladino , M. Grifoni

We have performed an extensive analysis of a single particle stochastic heat engine constructed by manipulating a Brownian particle in a time dependent harmonic potential. The cycle consists of two isothermal steps at different temperatures…

Statistical Mechanics · Physics 2014-12-01 Shubhashis Rana , P. S. Pal , Arnab Saha , A. M. Jayannavar

A framework for studying the effect of the coupling to the heat bath in models exhibiting anomalous heat conduction is described. The framework is applied to the harmonic chain with momentum exchange model where the non-trivial temperature…

Statistical Mechanics · Physics 2017-02-01 J. Cividini , A. Kundu , A. Miron , D. Mukamel

We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to multiple reservoirs and driven by a rapidly oscillating external field. The analysis is built on a modified stochastic master equation in the…

Statistical Mechanics · Physics 2015-05-12 Gregory Bulnes Cuetara , Andreas Engel , Massimiliano Esposito

Heat transport in spin-boson systems near the thermal equilibrium is systematically investigated. An asymptotically exact expression for the thermal conductance in a low-temperature regime wherein transport is described via a co-tunneling…

Mesoscale and Nanoscale Physics · Physics 2018-09-14 Tsuyoshi Yamamoto , Masanari Kato , Takeo Kato , Keiji Saito

A ballistic atom pump is a system containing two reservoirs of neutral atoms or molecules and a junction connecting them containing a localized time-varying potential. Atoms move through the pump as independent particles. Under certain…

Quantum Gases · Physics 2015-11-23 Tommy A. Byrd , Kunal K. Das , Kevin A. Mitchell , Seth Aubin , John B. Delos

We suggest alternative quantum Otto engines, using heat bath algorithmic cooling with partner pairing algorithm instead of isochoric cooling. Liquid state nuclear magnetic resonance systems in one entropy sink are considered as working…

In this Colloquium recent advances in the field of quantum heat transport are reviewed. This topic has been investigated theoretically for several decades, but only during the past twenty years have experiments on various mesoscopic systems…

Mesoscale and Nanoscale Physics · Physics 2021-10-20 Jukka P. Pekola , Bayan Karimi

The heat conduction in an open transverse-field Ising chain is studied by using quantization in the Fock space of operators in the weak coupling regimes, i.e. the coupling is much smaller than the transverse field. The non-equilibrium…

Disordered Systems and Neural Networks · Physics 2015-05-20 Ke-Wei Sun , Chen Wang , Qing-Hu Chen

We investigate the problem of quantum heat transport, based on the quadratic fermionic systems with help of the Peschel trick of single-particle correlation functions. The efficient numerical method is applied to the particular case of a…

Quantum Physics · Physics 2026-04-23 Ilari K. Mäkinen , Ivan M. Khaymovich , Jukka P. Pekola

By the standard second law of thermodynamics, heat spontaneously flows from a hotter body to a colder body. However, quantum systems in which quantum correlations play a prominent role can exhibit a non-classical reversal of such heat flow.…

Quantum Physics · Physics 2022-05-20 Saleh Naghdi , Thomas Quella , Charles D. Hill

A hierarchical equations of motion formalism for a quantum dissipation system in a grand canonical bath ensemble surrounding is constructed, on the basis of the calculus-on-path-integral algorithm, together with the parametrization of…

Statistical Mechanics · Physics 2009-11-11 Jinshuang Jin , Sven Welack , JunYan Luo , Xin-Qi Li , Ping Cui , Rui-Xue Xu , YiJing Yan