Fluctuation theorem for currents in open quantum systems

Abstract

A quantum-mechanical framework is set up to describe the full counting statistics of particles flowing between reservoirs in an open system under time-dependent driving. A symmetry relation is obtained which is the consequence of microreversibility for the probability of the nonequilibrium work and the transfer of particles and energy between the reservoirs. In some appropriate long-time limit, the symmetry relation leads to a steady-state quantum fluctuation theorem for the currents between the reservoirs. On this basis, relationships are deduced which extend the Onsager-Casimir reciprocity relations to the nonlinear response coefficients.

19 pages

References in corpus (13)

• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Fluctuation theorems: Work is not an observable
• Dissipation: The phase-space perspective
• Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
• Fluctuation theorems in driven open quantum systems
• Quantum work relations and response theory
• Inelastic Interaction Corrections and Universal Relations for Full Counting Statistics
• Continuous time random walk for open systems: Fluctuation theorems and counting statistics
• Fluctuation theorem for the effusion of an ideal gas
• A unified approach to the derivation of work theorems for equilibrium and steady-state, classical and quantum Hamiltonian systems
• Full Counting Statistics and Field Theory
• Fluctuation theorem for black-body radiation
• Quantum Correction of Fluctuation Theorem

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