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

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arxiv 0811.3717 v2 pith:TZEXPSR4 submitted 2008-11-22 cond-mat.stat-mech

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

classification cond-mat.stat-mech
keywords nonequilibriumquantumsystemsderivedfluctuationfluctuationsopenstatistics
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 2 Pith papers

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    Full counting statistics for energy, momentum, and topological charge in the sine-Gordon model, computed via TBA, show fractal coupling dependence for topological charge but smooth behavior for energy and momentum.

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    A review of response theory formalism for isolated quantum fields emphasizing causality, functional techniques, and fluctuation-dissipation relations.