Modulated two-level system : Exact work statistics

Abstract

We consider an open two-level system driven by a piecewise constant periodic field and described by a rate equation with Fermi, Bose and Arrhenious rates respectively. We derive an analytical expression for the generating function and large deviation function of the work performed by the field and show that a work fluctuation theorem holds.

6 pages, 6 figures, 1 table

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• Statistics of work distribution in periodically driven closed quantum systems
• Work distribution in thermal processes
• Current fluctuations in nonequilibrium discontinuous phase transitions
• Multifractality of random eigenfunctions and generalization of Jarzynski equality
• Exact statistics and thermodynamic uncertainty relations for a periodically driven electron pump
• Entropic equality for worst-case work at any protocol speed
• Work statistics in slow thermodynamic processes
• Strong current response to slow modulation: a metabolic case-study
• Nonequilibrium steady state of the kinetic Glauber-Ising model under an alternating magnetic field
• Time-reversal symmetric Crooks and Gallavotti-Cohen fluctuation relations in driven classical Markovian systems