Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems

By Massimiliano Esposito, U. Harbola, Shaul Mukamel. 2008

1,093 citations recorded by the source corpus.

Fluctuation theorems (FTs), which describe some universal properties of nonequilibrium fluctuations, are examined from a quantum perspective and derived by introducing a two-point measurement on the system. FTs for closed and open systems driven out of equilibrium by an external time-dependent force, and for open systems maintained in a nonequilibrium steady state by nonequilibrium boundary conditions, are derived from a unified approach. Applications to fermion and boson transport in quantum junctions are discussed. Quantum master equations and Green's functions techniques for computing the energy and particle statistics are presented.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8c678b7fea045f37c489bea6664ea8457e3717f9

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Dynamics of non-Markovian open quantum systems (2015, background): “The intimate connection between quantum thermodynamics and the theory of OQSs, and hence the thermodynamic consistency of the latter, beyond the weak coupling condition remains the subject of ongoing developments [see (Esposito et al., 2009) for a review].”
A free energy principle for a particular physics (2019, background): “…many prescient connections between entanglement, quantum information theory and thermodynamics that speak to this bridge (D'Alessio et al., 2016; Esposito et al., 2009; Parrondo et al., 2015); in particular, quantum fluctuation theorems (Alhambra et al., 2016a; Alhambra et al., 2016b; Holmes et…”
The fluctuation theorem for currents in open quantum systems (2008, background): “A rigorous proof is thus established for such steady-state fluctuation theorems as considered in the review [42].”
Colloquium: Quantum fluctuation relations: Foundations and applications (2010, background): “When an electric potential dif- 19 See (Andrieux et al., 2009; Campisi et al., 2010a; Esposito et al., 2009), and also (Jarzynski, 2000) regarding the classical case.”
Conformal field theory out of equilibrium: a review (2016, background): “It also may provide workable and useful examples of steady states far from equilibrium where important notions in non-equilibrium physics can be studied with precision, including fluctuation relations of the Cohen–Gallavotti [25] and Jarzynski type [26] and extensions thereof (see [27] for a review)”
Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions (2016, methodology): “which follows from the Kubo-Martin-Schwinger (KMS) relation of the reservoir correlation functions [1, 2, 5, 58, 60].”
Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production (2017, background): “Finally, we stress that for equilibrium canonical initial conditions both in the forward and in the backward processes, the trajectory entropy production (23) equals the stochastic dissipative work and one recovers the celebrated Crooks work theorem and the original Jarzynski equality [6, 7].”
Experimental test of the quantum Jarzynski equality with a trapped-ion system (2014, methodology): “For example, the method can be immediately used to the test of Crooks’ relation in quantum regime [2, 5] and to further investigations of the equality in an open quantum system [17, 20].”