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The performance characteristics of a heat rectifier and a heat pump are studied in a non Markovian framework. The device is constructed from a molecule connected to a hot and cold reservoir. The heat baths are modelled using the stochastic…

Quantum Physics · Physics 2016-06-09 Gil Katz , Ronnie Kosloff

A system of two coupled oscillators, each of them coupled to an independent reservoir, is analysed. The analytical solution of the non-rotating wave master equation is obtained in the high-temperature and weak coupling limits. No thermal…

Quantum Physics · Physics 2014-02-07 A. Ghesquière , I. Sinayskiy , F. Petruccione

We propose a method to study the thermodynamic behaviour of small systems beyond the weak coupling and Markovian approximation, which is different in spirit from conventional approaches. The idea is to redefine the system and environment…

Quantum Physics · Physics 2016-11-29 Philipp Strasberg , Gernot Schaller , Neill Lambert , Tobias Brandes

We study nonequilibrium thermodynamics in a fermionic resonant level model with arbitrary coupling strength to a fermionic bath, taking the wide-band limit. In contrast to previous theories, we consider a system where both the level energy…

Mesoscale and Nanoscale Physics · Physics 2018-03-07 Patrick Haughian , Massimiliano Esposito , Thomas L. Schmidt

We study the quantum geometric heat flux in the nonequilibrium spin-boson model. By adopting the noninteracting-blip approximation that is able to accommodate the strong system-bath coupling, we show that there exists a nonzero geometric…

Mesoscale and Nanoscale Physics · Physics 2013-04-25 Tian Chen , Xiang-Bin Wang , Jie Ren

We study the Asymmetric Brownian Energy, a model of heat conduction defined on the one-dimensional finite lattice with open boundaries. The system is shown to be dual to the Symmetric inclusion process with absorbing boundaries. The proof…

Probability · Mathematics 2023-11-03 Gioia Carinci , Francesco Casini , Chiara Franceschini

We investigate the dynamics of a two-qubit open quantum system, in particular the two-qubit spin-boson model in the strong coupling regime, coupled to two thermal bosonic baths under non-Markovian and non-equilibrium conditions. Two…

Quantum Physics · Physics 2026-01-22 Hasan Mehdi Rizvi , Devvrat Tiwari , Subhashish Banerjee

We investigate the thermodynamics of simple (non-interacting) transport models beyond the scope of weak coupling. For a single fermionic or bosonic level -- tunnel-coupled to two reservoirs -- exact expressions for the stationary matter and…

Statistical Mechanics · Physics 2015-07-20 Gabriel E. Topp , Tobias Brandes , Gernot Schaller

We analyze the dynamics of a Brownian gas in contact with a heat bath in which large temperature fluctuations occur. There are two distinct time scales present, one describes the decay of the fluctuations in the temperature and the other…

Statistical Mechanics · Physics 2009-11-11 I. Santamaria-Holek , R. F. Rodriguez

When do non-equilibrium forms of disordered energy qualify as heat? \textcolor{blue}{We address this question in the context of cyclically operating heat engines in contact with a non-equilibrium energy reservoir that defies the zeroth law…

Statistical Mechanics · Physics 2020-11-25 Viktor Holubec , Stefano Steffenoni , Gianmaria Falasco , Klaus Kroy

We numerically investigate the effect of coupling a two-dimensional many-body localized system to a finite heat bath, using shallow quantum circuits as a variational ansatz. Specifically, we simulate optical lattice experiments with two…

Disordered Systems and Neural Networks · Physics 2025-08-05 Joey Li , Amos Chan , Thorsten B. Wahl

We investigate the performance of a Brownian heat engine working in a heterogeneous thermal bath where the mobility fluctuates. Brownian particle is trapped by the time-dependent harmonic potential, by changing the stiffness coefficient and…

Statistical Mechanics · Physics 2024-05-20 I. Iyyappan , Jetin E. Thomas , Sibasish Ghosh

We consider a model of a Brownian motor composed of two coupled overdamped degrees of freedom moving in periodic potentials and driven by two heat reservoirs. This model exhibits a spontaneous breaking of symmetry and gives rise to directed…

Statistical Mechanics · Physics 2017-11-29 Hans C. Fogedby , Alberto Imparato

We study invariant random fields of nonlinear multiplicative stochastic heat equations in the weak disorder regime. Under a natural second-moment condition, we show that positive invariant fields are in one-to-one correspondence with…

Probability · Mathematics 2026-05-04 Hongyi Chen

We analyze the microscopic model of quantum Brownian motion, describing a Brownian particle interacting with a bosonic bath through a coupling which is linear in the creation and annihilation operators of the bath, but may be a nonlinear…

Quantum Gases · Physics 2015-04-17 Pietro Massignan , Aniello Lampo , Jan Wehr , Maciej Lewenstein

Quantum thermal transport and two-photon statistics serve as two representative nonequilibrium features in circuit quantum electrodynamics systems. Here, we investigate quantum heat flow and two-photon correlation function at steady-state…

Quantum Physics · Physics 2021-09-07 Zhe-Huan Chen , Han-Xin Che , Zhe-Kai Chen , Chen Wang , Jie Ren

We investigate a simplified model of two fully connected magnetic systems maintained at different temperatures by virtue of being connected to two independent thermal baths while simultaneously being inter-connected with each other. Using…

Statistical Mechanics · Physics 2015-06-15 Roberto C. Alamino , Amit Chattopadhyay , David Saad

Making use of the master equation and effective Hamiltonian approach, we investigate the steady state entanglement in a three-qubit $XX$ model. Both symmetric and nonsymmetric qubit-qubit couplings are considered. The system (the three…

Quantum Physics · Physics 2015-05-13 X. L. Huang , J. L. Guo , X. X. Yi

For students familiar with equilibrium statistical mechanics, the notion of a positive specific heat, being intimately related to the idea of stability, is both intuitively reasonable and mathematically provable. However, for system in…

Statistical Mechanics · Physics 2009-11-07 R. K. P. Zia , E. L. Praestgaard , O. G. Mouritsen

A strong-to-weak-coupling duality is established for the nonequilibrium interacting resonant-level model, describing tunneling through a single spinless level, capacitively coupled to two leads by a contact interaction. For large capacitive…

Strongly Correlated Electrons · Physics 2007-10-02 Avraham Schiller , Natan Andrei