Some Trends in Quantum Thermodynamics

Spakovsky, Michael R. von; Gemmer, Jochen

doi:10.3390/e16063434

Cited by 33 publications

(27 citation statements)

References 138 publications

(219 reference statements)

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“…In this subsection, we highlight some examples of the problems considered and introduce the reader to some important ideas. We refer to three excellent reviews [125], [126] and [127] for a detailed overview of the field.…”

Section: Thermalisation Of Closed Quantum Systemsmentioning

confidence: 99%

Quantum thermodynamics

Vinjanampathy¹,

Anders²

2016

Contemporary Physics

869

806

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Quantum thermodynamics is an emerging research field aiming to extend standard thermodynamics and non-equilibrium statistical physics to ensembles of sizes well below the thermodynamic limit, in non-equilibrium situations, and with the full inclusion of quantum effects. Fueled by experimental advances and the potential of future nanoscale applications this research effort is pursued by scientists with different backgrounds, including statistical physics, many-body theory, mesoscopic physics and quantum information theory, who bring various tools and methods to the field. A multitude of theoretical questions are being addressed ranging from issues of thermalisation of quantum systems and various definitions of "work", to the efficiency and power of quantum engines. This overview provides a perspective on a selection of these current trends accessible to postgraduate students and researchers alike.

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Section: Thermalisation Of Closed Quantum Systemsmentioning

confidence: 99%

Quantum thermodynamics

Vinjanampathy¹,

Anders²

2016

Contemporary Physics

869

806

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“…Figure 5 shows the time dependence of the silver lattice parameter for three different initial states, one generated based on Eq. (21) and two based on Eq. (20).…”

Section: B Nonequilibrium Lattice Evolutionmentioning

confidence: 99%

A method for predicting non-equilibrium thermal expansion using steepest-entropy-ascent quantum thermodynamics

Yamada

Spakovsky²,

Reynolds³

2018

J. Phys.: Condens. Matter

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Steepest-entropy-ascent quantum thermodynamics (SEAQT) is an intriguing approach that describes equilibrium and dynamic processes in a self-consistent way. To date, it has been applied primarily to gas phase systems because of the difficulty in generating the complex eigenstructures (eigenvalues and eigenfunctions) associated with solid or liquid phases. In this contribution, the SEAQT modeling is extended to the solid phase by constructing a so-called pseudo-eigenstructure, and its applicability is demonstrated by calculating the thermal expansion of metallic silver for three cases: (a) stable equilibrium, (b) along three irreversible paths from different initial non-equilibrium states to stable equilibrium, and (c) along an irreversible path between two stable equilibrium states. The SEAQT framework with an anharmonic pseudo-eigenstructure predicts reasonable values for the equilibrium thermal expansion. For the irreversible cases considered, the SEAQT approach makes it possible to predict the time-dependence of lattice relaxations from the initial state to the final equilibrium state.

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“…The prevailing interpretation of QT (for a recent review see [45]) is the so-called open-system model whereby the quantum system under study (each individual system of a homogeneous ensemble) is always viewed as in contact (weak or strong) with a thermal reservoir or 'heat bath', and its not being in a pure state is an indication of its being correlated with the reservoir. The overall system-plus-reservoir composite is assumed to be in a pure quantum mechanical state H ⊗ H R and reduces to the density operator ρ on the system's space H when we partial trace the overall density operator over the reservoir's space H R .…”

Section: Framework D Mesoscopic Non-equilibrium Thermodynamics Anmentioning

confidence: 99%

Steepest Entropy Ascent Model for Far-Non-Equilibrium Thermodynamics. Unified Implementation of the Maximum Entropy Production Principle

Beretta

2014

Proceedings of 1st International Electronic Conference on Entropy and Its Applications

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By suitable reformulations, we cast the mathematical frameworks of several well-known different approaches to the description of non-equilibrium dynamics into a unified formulation valid in all these contexts, which extends to such frameworks the concept of Steepest Entropy Ascent (SEA) dynamics introduced by the present author in previous works on quantum thermodynamics. Actually, the present formulation constitutes a generalization also for the quantum thermodynamics framework. The analysis emphasizes that in the SEA modeling principle a key role is played by the geometrical metric with respect to which to measure the length of a trajectory in state space. In the near thermodynamic equilibrium limit, the metric tensor turns is directly related to the Onsager's generalized resistivity tensor. Therefore, through the identification of a suitable metric field which generalizes the Onsager generalized resistance to the arbitrarily far non-equilibrium domain, most of the existing theories of non-equilibrium thermodynamics can be cast in such a way that the state exhibits the spontaneous tendency to evolve in state space along the path of SEA compatible with the conservation constraints and the boundary conditions. The resulting unified family of SEA dynamical models are all intrinsically and strongly consistent with the second law of thermodynamics. The nonnegativity of the entropy production is a general and readily proved feature of SEA dynamics. In several of the different approaches to non-equilibrium description we consider here, the SEA concept has not been investigated before. We believe it defines the precise meaning and the domain of general validity of the so-called Maximum Entropy Production principle. Therefore, it is hoped that the present unifying approach may prove useful in providing a fresh basis for effective, thermodynamically consistent, numerical models and theoretical treatments of irreversible conservative relaxation towards equilibrium from far non-equilibrium states. The mathematical frameworks are: A) Statistical or Information Theoretic Models of Relaxation; B) Small-Scale and Rarefied Gases Dynamics (i.e., kinetic models for the Boltzmann equation

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Some Trends in Quantum Thermodynamics

Cited by 33 publications

References 138 publications

Quantum thermodynamics

Quantum thermodynamics

A method for predicting non-equilibrium thermal expansion using steepest-entropy-ascent quantum thermodynamics

Steepest Entropy Ascent Model for Far-Non-Equilibrium Thermodynamics. Unified Implementation of the Maximum Entropy Production Principle

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