Fluctuation theorems: Work is not an observable

Abstract

The characteristic function of the work performed by an external time-dependent force on a Hamiltonian quantum system is identified with the time-ordered correlation function of the exponentiated system's Hamiltonian. A similar expression is obtained for the averaged exponential work which is related to the free energy difference of equilibrium systems by the Jarzynski work theorem.

References in corpus (4)

• A nonequilibrium equality for free energy differences
• Equilibrium free energy differences from nonequilibrium measurements: a master equation approach
• The Nonequilibrium Thermodynamics of Small Systems
• Unified Treatment of Quantum Fluctuation Theorem and Jarzynski Equality in Terms of microscopic reversibility

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• Modelling mechanical equilibration processes of closed quantum systems: a case-study
• The Rabi problem with elliptic polarization
• A decoherence interpretation of quantum work for adiabatic processes
• A perspective on Lindblad's Non-Equilibrium Entropy
• Projection hypothesis in the setting for the quantum Jarzynski equality
• On the Quantum Jarzynski Identity
• Adiabatic Dynamics and Shortcuts to Adiabaticity: Fundamentals and Applications
• Full statistics of erasure processes: Isothermal adiabatic theory and a statistical Landauer principle
• Quantum advantage from negativity of a work quasiprobability distribution
• Quantum thermodynamics under continuous monitoring: a general framework
• Quantum Work Relations under Trial Hamiltonians
• Edge States Effects in Quantum Work Statistics
• Miniatures on Open Quantum Systems
• Work and heat exchanged during sudden quenches of strongly coupled quantum systems
• Information-acquiring von Neumann architecture of a computer: A theoretical design
• Calculation of semiclassical free energy differences along non-equilibrium classical trajectories
• Work Statistics and Quantum Trajectories: No-Click Limit and non-Hermitian Hamiltonians
• Enhancement of efficiency in the Dicke model quantum heat engine
• Informational work storage in quantum thermodynamics