Nonequilibrium work distribution of a quantum harmonic oscillator
Sebastian Deffner, Eric Lutz
TL;DR
This paper analytically derives the work distribution for a quantum harmonic oscillator under various conditions, providing insights into quantum thermodynamics and verifying fundamental fluctuation relations.
Contribution
It offers explicit formulas for work distributions in quantum harmonic oscillators with time-dependent frequencies, covering different temperature regimes and process types.
Findings
Validated the quantum Jarzynski equality across different regimes
Derived explicit work distribution formulas for adiabatic and nonadiabatic processes
Analyzed low and high temperature limits for the work distribution
Abstract
We analytically calculate the work distribution of a quantum harmonic oscillator with arbitrary time-dependent angular frequency. We provide detailed expressions for the work probability density for adiabatic and nonadiabatic processes, in the limit of low and high temperature. We further verify the validity of the quantum Jarzynski equality
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