Nonequilibrium potential and fluctuation theorems for quantum maps

Manzano, Gonzalo; Horowitz, Jordan M.; Parrondo, Juan M. R.

doi:10.1103/physreve.92.032129

Cited by 112 publications

(172 citation statements)

References 59 publications

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“…The positivity of˙ is always guaranteed for quantum dynamical semigroups [44], while the emerging second-law inequality in Eq. (4) has been recently derived as a corollary from a general fluctuation theorem for a large class of quantum Completely Positive and Trace Preserving maps [48]. The effective entropy flow˙ becomes zero for unital maps and reproduces the heat flow divided by temperature in the case of thermalization or Gibbs-preserving maps.…”

Section: Thermodynamics Of the Squeezed Thermal Reservoirmentioning

confidence: 99%

“…II, is the average entropy lost in the reservoir in the sequence of collisions. This implies that the excess (or nonadiabatic) entropy production [45][46][47][48], in Eq. (4), corresponds indeed to the total entropy produced in the process.…”

Section: Appendix B: Reservoir Entropy Changesmentioning

confidence: 99%

“…The LME (2) describes relaxation of the mode toπ S , the irreversibility of which is well captured by the so-called excess (or nonadiabatic) entropy production rate [44][45][46][47][48]:…”

Section: Thermodynamics Of the Squeezed Thermal Reservoirmentioning

confidence: 99%

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Entropy production and thermodynamic power of the squeezed thermal reservoir

et al. 2016

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We analyze the entropy production and the maximal extractable work from a squeezed thermal reservoir. The nonequilibrium quantum nature of the reservoir induces an entropy transfer with a coherent contribution while modifying its thermal part, allowing work extraction from a single reservoir, as well as great improvements in power and efficiency for quantum heat engines. Introducing a modified quantum Otto cycle, our approach fully characterizes operational regimes forbidden in the standard case, such as refrigeration and work extraction at the same time, accompanied by efficiencies equal to unity.

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Section: Thermodynamics Of the Squeezed Thermal Reservoirmentioning

confidence: 99%

Section: Appendix B: Reservoir Entropy Changesmentioning

confidence: 99%

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Entropy production and thermodynamic power of the squeezed thermal reservoir

et al. 2016

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“…Among various proposals for the definitions of work and heat in open [26][27][28][29] and isolated quantum systems [30][31][32], the quantum jump trajecotry (QJT) approach, which was originally developed in quantum optics [33][34][35] and applied to quantum thermodynamics quite recently [36][37][38][39][40][41][42][43][44][45][46][47], provides a natural framework to define thermodynamic quantities. The QJT-based definition naturally incorporates quantum coherence and gives the definitions of work and heat that reduce to the widely accepted ones (see Appendix C for details) upon ensemble averaging [48,49] or in the classical [3] and adiabatic limits [50][51][52].…”

Section: Introductionmentioning

confidence: 99%

Quantum-trajectory thermodynamics with discrete feedback control

2016

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We employ the quantum jump trajectory approach to construct a systematic framework to study the thermodynamics at the trajectory level in a nonequilibrium open quantum system under discrete feedback control. Within this framework, we derive quantum versions of the generalized Jarzynski equalities, which are demonstrated in an isolated pseudospin system and a coherently driven twolevel open quantum system. Due to quantum coherence and measurement backaction, a fundamental distinction from the classical generalized Jarzynski equalities emerges in the quantum versions, which is characterized by a large negative information gain reflecting genuinely quantum rare events. A possible experimental scheme to test our findings in superconducting qubits is discussed.

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“…The definition and evaluation of thermodynamical potentials, such as the Helmholtz or Gibbs free energies, are not completely developed in outof-equilibrium statistical mechanics. Indeed, there is an actual discussion about the possibility of having a thermodynamic description of nonequilibrium steady states [14], although some steps forward for particular systems have been achieved [15][16][17][18][19][20].…”

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confidence: 99%

Path integral approach to nonequilibrium potentials in multiplicative Langevin dynamics

Barci

Arenas

Moreno

2016

EPL

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-We present a path integral formalism to compute potentials for nonequilibrium steady states, reached by a multiplicative stochastic dynamics. We develop a weak-noise expansion, which allows the explicit evaluation of the potential in arbitrary dimensions and for any stochastic prescription. We apply this general formalism to study noise-induced phase transitions. We focus on a class of multiplicative stochastic lattice models and compute the steady state phase diagram in terms of the noise intensity and the lattice coupling. We obtain, under appropriate conditions, an ordered phase induced by noise. By computing entropy production, we show that microscopic irreversibility is a necessary condition to develop noise-induced phase transitions. This property of the nonequilibrium stationary state has no relation with the initial stages of the dynamical evolution, in contrast with previous interpretations, based on the short-time evolution of the order parameter.Introduction. -Nonequilibrium statistical mechanics is at the stem of important physical phenomena, many of them at the border with other sciences such as biology, chemistry, geology and even social sciences. Differently from equilibrium statistical mechanics, there is no closed theoretical framework to deal with out-of-equilibrium systems, being the theory of stochastic processes [1] one of the natural approaches to describe them. These systems have been traditionally modeled by stochastic differential equations, as well as through Fokker-Planck equations. Moreover, functional path integral approaches have also been introduced [2]. The latter approach is more adaptive to explore symmetries and general formal aspects of stochastic dynamics, such as out-of-equilibrium fluctuations theorems [3][4][5].

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Nonequilibrium potential and fluctuation theorems for quantum maps

Cited by 112 publications

References 59 publications

Entropy production and thermodynamic power of the squeezed thermal reservoir

Entropy production and thermodynamic power of the squeezed thermal reservoir

Quantum-trajectory thermodynamics with discrete feedback control

Path integral approach to nonequilibrium potentials in multiplicative Langevin dynamics

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