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Littérature scientifique sur le sujet « Stochastic quantum heat and entropy production »

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Publié le 10 mars 2023

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Articles de revues sur le sujet "Stochastic quantum heat and entropy production"

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Müller-Hermes, Alexander, Daniel Stilck França, and Michael M. Wolf. "Entropy production of doubly stochastic quantum channels." Journal of Mathematical Physics 57, no. 2 (2016): 022203. http://dx.doi.org/10.1063/1.4941136.

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SRIVASTAVA, Y. N., G. VITIELLO, and A. WIDOM. "QUANTUM MEASUREMENTS, INFORMATION AND ENTROPY PRODUCTION." International Journal of Modern Physics B 13, no. 28 (1999): 3369–82. http://dx.doi.org/10.1142/s0217979299003076.

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In order to understand the Landau–Lifshitz conjecture on the relationship between quantum measurements and the thermodynamic second law, we discuss the notion of "diabatic" and "adiabatic" forces exerted by the quantum object on the classical measurement apparatus. The notion of heat and work in measurements is made manifest in this approach and the relationship between information entropy and thermodynamic entropy is explored.

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Hossein-Nejad, Hoda, Edward J. O’Reilly, and Alexandra Olaya-Castro. "Work, heat and entropy production in bipartite quantum systems." New Journal of Physics 17, no. 7 (2015): 075014. http://dx.doi.org/10.1088/1367-2630/17/7/075014.

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Schmidt, Heinz-Jürgen, Jürgen Schnack, and Jochen Gemmer. "Stochastic thermodynamics of a finite quantum system coupled to a heat bath." Zeitschrift für Naturforschung A 76, no. 8 (2021): 731–45. http://dx.doi.org/10.1515/zna-2021-0095.

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Abstract We consider a situation where an N-level system (NLS) is coupled to a heat bath without being necessarily thermalized. For this situation, we derive general Jarzynski-type equations and conclude that heat and entropy is flowing from the hot bath to the cold NLS and, vice versa, from the hot NLS to the cold bath. The Clausius relation between increase of entropy and transfer of heat divided by a suitable temperature assumes the form of two inequalities which have already been considered in the literature. Our approach is illustrated by an analytical example.

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DE ROECK, WOJCIECH, and CHRISTIAN MAES. "STEADY STATE FLUCTUATIONS OF THE DISSIPATED HEAT FOR A QUANTUM STOCHASTIC MODEL." Reviews in Mathematical Physics 18, no. 06 (2006): 619–53. http://dx.doi.org/10.1142/s0129055x06002747.

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We introduce a quantum stochastic dynamics for heat conduction. A multi-level subsystem is coupled to reservoirs at different temperatures. Energy quanta are detected in the reservoirs allowing the study of steady state fluctuations of the entropy dissipation. Our main result states a symmetry in its large deviation rate function.

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Seifert, Udo. "From Stochastic Thermodynamics to Thermodynamic Inference." Annual Review of Condensed Matter Physics 10, no. 1 (2019): 171–92. http://dx.doi.org/10.1146/annurev-conmatphys-031218-013554.

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For a large class of nonequilibrium systems, thermodynamic notions like work, heat, and, in particular, entropy production can be identified on the level of fluctuating dynamical trajectories. Within stochastic thermodynamics various fluctuation theorems relating these quantities have been proven. Their application to experimental systems requires that all relevant mesostates are accessible. Recent advances address the typical situation that only partial, or coarse-grained, information about a system is available. Thermodynamic inference as a general strategy uses consistency constraints derived from stochastic thermodynamics to infer otherwise hidden properties of nonequilibrium systems. An important class in this respect are active particles, for which we resolve the conflicting strategies that have been proposed to identify entropy production. As a paradigm for thermodynamic inference, the thermodynamic uncertainty relation provides a lower bound on the entropy production through measurements of the dispersion of any current in the system. Likewise, it quantifies the cost of precision for biomolecular processes. Generalizations and ramifications allow the inference of, inter alia, model-free upper bounds on the efficiency of molecular motors and of the minimal number of intermediate states in enzymatic networks.

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Bonetto, F., J. L. Lebowitz, J. Lukkarinen, and S. Olla. "Heat Conduction and Entropy Production in Anharmonic Crystals with Self-Consistent Stochastic Reservoirs." Journal of Statistical Physics 134, no. 5-6 (2008): 1097–119. http://dx.doi.org/10.1007/s10955-008-9657-1.

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Strasberg, Philipp. "Thermodynamics of Quantum Causal Models: An Inclusive, Hamiltonian Approach." Quantum 4 (March 2, 2020): 240. http://dx.doi.org/10.22331/q-2020-03-02-240.

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Operational quantum stochastic thermodynamics is a recently proposed theory to study the thermodynamics of open systems based on the rigorous notion of a quantum stochastic process or quantum causal model. In there, a stochastic trajectory is defined solely in terms of experimentally accessible measurement results, which serve as the basis to define the corresponding thermodynamic quantities. In contrast to this observer-dependent point of view, a `black box', which evolves unitarily and can simulate a quantum causal model, is constructed here. The quantum thermodynamics of this big isolated system can then be studied using widely accepted arguments from statistical mechanics. It is shown that the resulting definitions of internal energy, heat, work, and entropy have a natural extension to the trajectory level. The canonical choice of them coincides with the proclaimed definitions of operational quantum stochastic thermodynamics, thereby providing strong support in favour of that novel framework. However, a few remaining ambiguities in the definition of stochastic work and heat are also discovered and in light of these findings some other proposals are reconsidered. Finally, it is demonstrated that the first and second law hold for an even wider range of scenarios than previously thought, covering a large class of quantum causal models based solely on a single assumption about the initial system-bath state.

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Borlenghi, Simone, and Anna Delin. "Stochastic Thermodynamics of Oscillators’ Networks." Entropy 20, no. 12 (2018): 992. http://dx.doi.org/10.3390/e20120992.

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We apply the stochastic thermodynamics formalism to describe the dynamics of systems of complex Langevin and Fokker-Planck equations. We provide in particular a simple and general recipe to calculate thermodynamical currents, dissipated and propagating heat for networks of nonlinear oscillators. By using the Hodge decomposition of thermodynamical forces and fluxes, we derive a formula for entropy production that generalises the notion of non-potential forces and makes transparent the breaking of detailed balance and of time reversal symmetry for states arbitrarily far from equilibrium. Our formalism is then applied to describe the off-equilibrium thermodynamics of a few examples, notably a continuum ferromagnet, a network of classical spin-oscillators and the Frenkel-Kontorova model of nano friction.

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BENJAMIN, RONALD. "STOCHASTIC ENERGETICS OF A BROWNIAN MOTOR AND REFRIGERATOR DRIVEN BY NONUNIFORM TEMPERATURE." International Journal of Modern Physics B 28, no. 08 (2014): 1450055. http://dx.doi.org/10.1142/s0217979214500556.

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The energetics of a Brownian heat engine and heat pump driven by position dependent temperature, known as the Büttiker–Landauer heat engine and heat pump, is investigated by numerical simulations of the inertial Langevin equation. We identify parameter values for optimal performance of the heat engine and heat pump. Our results qualitatively differ from approaches based on the overdamped model. The behavior of the heat engine and heat pump, in the linear response regime is examined under finite time conditions and we find that the efficiency is lower than that of an endoreversible engine working under the same condition. Finally, we investigate the role of different potential and temperature profiles to enhance the efficiency of the system. Our simulations show that optimizing the potential and temperature profile leads only to a marginal enhancement of the system performance due to the large entropy production via the Brownian particle's kinetic energy.

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Thèses sur le sujet "Stochastic quantum heat and entropy production"

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LEGGIO, Bruno. "Quantum fluctuations and correlations in equilibrium and nonequilibrium thermodynamics." Doctoral thesis, Università degli Studi di Palermo, 2014. http://hdl.handle.net/10447/90914.

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Gherardini, Stefano. "Noise as a resource - Probing and manipulating classical and quantum dynamical systems via stochastic measurements." Doctoral thesis, 2018. http://hdl.handle.net/2158/1120060.

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In this thesis, common features from the theories of open quantum systems, estimation of state dynamics and statistical mechanics have been integrated in a comprehensive framework, with the aim to analyze and quantify the energetic and information contents that can be extracted from a dynamical system subject to the external environment. The latter is usually assumed to be deleterious for the feasibility of specic control tasks, since it can be responsible for uncontrolled time-dependent (and even discontinuous) changes of the system. However, if the effects of the random interaction with a noisy environment are properly modeled by the introduction of a given stochasticity within the dynamics of the system, then even noise contributions might be seen as control knobs. As a matter of fact, even a partial knowledge of the environment can allow to set the system in a dynamical condition in which the response is optimized by the presence of noise sources. In particular, we have investigated what kind of measurement devices can work better in noisy dynamical regimes and studied how to maximize the resultant information via the adoption of estimation algorithms. Moreover, we have shown the optimal interplay between quantum dynamics, environmental noise and complex network topology in maximizing the energy transport efficiency. Then, foundational scientic aspects, such as the occurrence of an ergodic property for the system-environment interaction modes of a randomly perturbed quantum system or the characterization of the stochastic quantum Zeno phenomena, have been analyzed by using the predictions of the large deviation theory. Finally, the energy cost in maintaining the system in the non-equilibrium regime due to the presence of the environment is evaluated by reconstructing the corresponding thermodynamics entropy production. In conclusion, the present thesis can constitute the basis for an effective resource theory of noise, which is given by properly engineering the interaction between a dynamical (quantum or classical) system and its external environment.

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Chapitres de livres sur le sujet "Stochastic quantum heat and entropy production"

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Zöller, Nikolas. "Entropy Production in Inhomogeneous Thermal Environments." In Optimization of Stochastic Heat Engines in the Underdamped Limit. Springer Fachmedien Wiesbaden, 2017. http://dx.doi.org/10.1007/978-3-658-16350-1_5.

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Elouard, Cyril, and M. Hamed Mohammady. "Work, Heat and Entropy Production Along Quantum Trajectories." In Fundamental Theories of Physics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-99046-0_15.

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Strasberg, Philipp. "Classical Stochastic Thermodynamics." In Quantum Stochastic Thermodynamics. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192895585.003.0002.

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Abstract After an introduction to the phenomenological theory of non-equilibrium thermodynamics, this theory is derived and extended forsmall systems described by a classical Markov process obeying local detailed balance. Thermodynamic definitions for internal energy, heat, work, entropy and entropy production are provided along a single stochastic trajectory. It is shown that the fluctuations in work and entropy production satisfy universal constraints, known as fluctuation theorems. By providing an independent derivation of them starting from microscopically reversible Hamiltonian dynamics in the full system-bath phase space, it is demonstrated that fluctuation theorems also hold in the non-Markovian regime. The theoretical framework established here is called (classical) stochastic thermodynamics. It has found widespread applications in biology and biochemistry, soft condensed matter physics as well as various artificial nanostructures down to the quantum regime. The chapter finishes with a discussion of the particularly relevant setting of single-molecule pulling experiments.

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Strasberg, Philipp. "Operational Quantum Stochastic Thermodynamics." In Quantum Stochastic Thermodynamics. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192895585.003.0005.

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Abstract Previouschapters built on the assumption that central thermodynamic quantities can be defined without disturbing the dynamics of the system. This assumption cannot be kepted in light of real experiments, where quantum measurements are disturbing. This chapter starts by discussing why it is necessary to overcome the semiclassical two-point measurement scheme. Then, consistent notions of internal energy, heat, work and system entropy are defined for a (Markovian and non-Markovian) quantum stochastic process, whichonly relies on interventions performed on the system. The thermodynamic description of quantum measurements, feedback control and Maxwell’s demon is studied in detail. The chapter concludes with applying these ‘operational’ definitions to a Nobel-prize-winning experiment in quantum optics.

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Strasberg, Philipp. "Quantum Thermodynamics Without Measurements." In Quantum Stochastic Thermodynamics. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780192895585.003.0003.

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Abstract We derive the basic laws of phenomenological non-equilibrium thermodynamics for small open systems, whose quantum nature can no longer be neglected. Emphasis is put from the beginning on deriving them from an underlying microscopic system on deriving them from an underlying microscopic system–bath picture. Commonly considered approximation schemes (wea k coupling master equations) are reviewed and their thermodynamics is studied. The zeroth law is discussed for small systems and exact identities for the entropy production, valid at strong coupling and in the non non-Markovian regime, are introduced. We discu ss the effect of finite baths even out of equilibrium and use the framework of repeated interactions to study microscopic non-equilibrium resources. The chapter concludes with the study of particle transport and thermoelectric devices, which were realized in experiments. This chapter focuses entirely on the dynamics of a system coupled to a bath without any external interventions.

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