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We present our numerical study on quantum thermodynamics of the resonant level model subjected to non-equilibrium condition as well as external driving. Following our previous work on non-equilibrium quantum thermodynamics (Phys. Rev. B…

Statistical Mechanics · Physics 2022-11-09 Kaiyi Tong , Wenjie Dou

Nonequilibrium phase transitions can be typified in a similar way to equilibrium systems, for instance, by the use of the order parameter. However, this characterization hides the irreversible character of the dynamics as well as its…

Statistical Mechanics · Physics 2019-07-10 C. E. Fernández Noa , Pedro E. Harunari , M. J. de Oliveira , C. E. Fiore

Thermodynamic irreversibility is well characterized by the entropy production arising from non-equilibrium quantum processes. We show that the entropy production of a quantum system undergoing open-system dynamics can be formally split into…

Quantum Physics · Physics 2019-07-02 Jader P. Santos , Lucas C. Céleri , Gabriel T. Landi , Mauro Paternostro

We show that a reversible pumping mechanism operating between two states of a kinetic network can give rise to Poisson transitions between these two states. An external observer, for whom the pumping mechanism is not accessible, will…

Statistical Mechanics · Physics 2015-05-06 Massimiliano Esposito , Juan MR Parrondo

We study the entropy production of Gibbs (equilibrium) measures for chaotic dynamical systems with folding of the phase space. The dynamical chaotic model is that generated by a hyperbolic non-invertible map $f$ on a general basic (possibly…

Dynamical Systems · Mathematics 2011-04-14 Eugen Mihailescu

Entropy production plays a fundamental role in nonequilibrium thermodynamics to quantify the irreversibility of open systems. Its positivity can be ensured for a wide class of setups, but the entropy production rate can become negative…

Statistical Mechanics · Physics 2019-01-23 Philipp Strasberg , Massimiliano Esposito

The irreversible motion of an open quantum system can be represented through an ensemble of state vectors following a stochastic dynamics with piecewise deterministic paths. It is shown that this representation leads to a natural definition…

Quantum Physics · Physics 2007-05-23 Heinz-Peter Breuer

Bridging the second law of thermodynamics and microscopic reversible dynamics has been a longstanding problem in statistical physics. We here address this problem on the basis of quantum many-body physics, and discuss how the entropy…

Statistical Mechanics · Physics 2018-01-03 Kazuya Kaneko , Eiki Iyoda , Takahiro Sagawa

Entropy is one of the central quantities in thermodynamics, whose flow between two systems determines the statistics of energy transfers. In quantum systems entropy is non-linear in density matrix whose time evolution is cumbersome. Using…

Mesoscale and Nanoscale Physics · Physics 2019-12-06 Mohammad H. Ansari

Quantifying the degree of irreversibility of an open system dynamics represents a problem of both fundamental and applied relevance. Even though a well-known framework exists for thermal baths, the results give diverging results in the…

Quantum open systems evolve according to completely positive, trace preserving maps acting on the density operator, which can equivalently be unraveled in term of so-called quantum trajectories. These stochastic sequences of pure states…

Quantum Physics · Physics 2019-05-01 Cyril Elouard , Hamed Mohammady

Anisotropy in temperature, chemical potential, or ion concentration, provides the fuel that feeds dynamical processes that sustain life. At the same time, anisotropy is a root cause of incurred losses manifested as entropy production. In…

Statistical Mechanics · Physics 2023-02-10 Olga Movilla Miangolarra , Amirhossein Taghvaei , Tryphon T. Georgiou

We define and analyse the concept of entanglement production during the evolution of a general quantum mechanical dissipative system. While it is important to minimise entropy production in order to achieve thermodynamical efficiency,…

Quantum Physics · Physics 2007-06-22 V. Vedral

We study the quench dynamics of the one-dimensional Hubbard model through the Quench Action formalism. We introduce a class of integrable initial states -- expressed as product states over two sites -- for which we can provide an exact…

Statistical Mechanics · Physics 2022-11-23 Colin Rylands , Bruno Bertini , Pasquale Calabrese

We derive an exact (classical and quantum) expression for the entropy production of a finite system placed in contact with one or several finite reservoirs each of which is initially described by a canonical equilibrium distribution.…

Statistical Mechanics · Physics 2015-05-13 Massimiliano Esposito , Katja Lindenberg , Christian Van den Broeck

It is known that the equilibrium properties of open classical systems that are strongly coupled to a heat bath are described by a set of thermodynamic potentials related to the system's Hamiltonian of mean force. By adapting this framework…

Statistical Mechanics · Physics 2017-06-28 Harry J. D. Miller , Janet Anders

The thermodynamic behavior of Markovian open quantum systems can be described at the level of fluctuations by using continuous monitoring approaches. However, practical applications require assessing imperfect detection schemes, where the…

When a quantum system is coupled to several heat baths at different temperatures, it eventually reaches a non-equilibrium steady state featuring stationary internal heat currents. These currents imply that entropy is continually being…

We investigate the possible thermalization process of the highly occupied and weakly coupled Yang-Mills fields expanding along the beam axis through an evaluation of the entropy, particle number, and pressure anisotropy. The time evolution…

High Energy Physics - Phenomenology · Physics 2022-06-08 Hidefumi Matsuda , Teiji Kunihiro , Akira Ohnishi , Toru T. Takahashi

We illustrate the mathematical theory of entropy production in repeated quantum measurement processes developed in a previous work by studying examples of quantum instruments displaying various interesting phenomena and singularities. We…

Mathematical Physics · Physics 2021-03-04 Tristan Benoist , Noé Cuneo , Vojkan Jakšić , Claude-Alain Pillet
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