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• W2580496321 abstract "A result of great theoretical and experimental interest, Jarzynski equality predicts a free energy change $Delta F$ of a system at inverse temperature $beta$ from an ensemble average of non-equilibrium exponential work, i.e., $langle e^{-beta W}rangle =e^{-betaDelta F}$. The number of experimental work values needed to reach a given accuracy of $Delta F$ is determined by the variance of $e^{-beta W}$, denoted ${rm var}(e^{-beta W})$. We discover in this work that ${rm var}(e^{-beta W})$ in both harmonic and an-harmonic Hamiltonian systems can systematically diverge in non-adiabatic work protocols, even when the adiabatic protocols do not suffer from such divergence. This divergence may be regarded as a type of dynamically induced phase transition in work fluctuations. For a quantum harmonic oscillator with time-dependent trapping frequency as a working example, any non-adiabatic work protocol is found to yield a diverging ${rm var}(e^{-beta W})$ at sufficiently low temperatures, markedly different from the classical behavior. The divergence of ${rm var}(e^{-beta W})$ indicates the too-far-from-equilibrium nature of a non-adiabatic work protocol and makes it compulsory to apply designed control fields to suppress the quantum work fluctuations in order to test Jarzynski equality." @default.
• W2580496321 created "2017-02-03" @default.
• W2580496321 creator A5017710978 @default.
• W2580496321 creator A5039414567 @default.
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• W2580496321 date "2017-10-09" @default.
• W2580496321 modified "2023-10-17" @default.
• W2580496321 title "Quantum work fluctuations in connection with the Jarzynski equality" @default.
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• W2580496321 doi "https://doi.org/10.1103/physreve.96.042119" @default.
• W2580496321 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/29347528" @default.
• W2580496321 hasPublicationYear "2017" @default.
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