Statistics of work and fluctuation theorems for microcanonical initial states

Abstract

The work performed on a system in a microcanonical state by changes in a control parameter is characterized in terms of its statistics. The transition probabilities between eigenstates of the system Hamiltonians at the beginning and the end of the parameter change obey a detailed balance-like relation from which various forms of the microcanonical fluctuation theorem are obtained. As an example, sudden deformations of a two dimensional harmonic oscillator potential are considered and the validity of the microcanonical Jarzynski equality connecting the degrees of degeneracy of energy eigenvalues before and after the control parameter change is confirmed.

16 pages, 5 figures

References in corpus (8)

• Many-Body Physics with Ultracold Gases
• Fluctuation theorems: Work is not an observable
• Quantum work relations and response theory
• Microcanonical quantum fluctuation theorems
• Statistics of work performed on a forced quantum oscillator
• Quantum Bochkov-Kuzovlev Work Fluctuation Theorems
• Thermodynamics with generalized ensembles: The class of dual orthodes
• Complementary expressions for the entropy-from-work theorem

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