Jarzynski equality for conditional stochastic work
arXiv:2010.05835 · doi:10.1007/s10955-021-02720-6
Abstract
It has been established that the inclusive work for classical, Hamiltonian dynamics is equivalent to the two-time energy measurement paradigm in isolated quantum systems. However, a plethora of other notions of quantum work has emerged, and thus the natural question arises whether any other quantum notion can provide motivation for purely classical considerations. In the present analysis, we propose the conditional stochastic work for classical, Hamiltonian dynamics, which is inspired by the one-time measurement approach. This novel notion is built upon the change of expectation value of the energy conditioned on the initial energy surface. As main results we obtain a generalized Jarzynski equality and a sharper maximum work theorem, which account for how non-adiabatic the process is. Our findings are illustrated with the parametric harmonic oscillator.
v2: close to published version
References in corpus (42)
- A nonequilibrium equality for free energy differences
- Dynamical Ensembles in Nonequilibrium Statistical Mechanics
- Equilibrium free energy differences from nonequilibrium measurements: a master equation approach
- Fluctuation theorems: Work is not an observable
- Stochastic thermodynamics: Principles and perspectives
- Classical and Quantum Fluctuation Theorems for Heat Exchange
- An Extension of the Fluctuation Theorem
- Fluctuation Theorems
- Path-integral analysis of fluctuation theorems for general Langevin processes
- No-go theorem for the characterisation of work fluctuations in coherent quantum systems
- Comparison of far-from-equilibrium work relations
- Nonequilibrium work distribution of a quantum harmonic oscillator
- Non-equilibrium quantum fluctuations of work
- Employing trapped cold ions to verify the quantum Jarzynski equality
- A non-equilibrium quantum Landauer principle
- Quantum work and the thermodynamic cost of quantum measurements
- Fluctuation theorems for quantum processes
- Quantum fluctuation theorems beyond two-point measurements
- Jarzynski Relation, Fluctuation Theorems, and Stochastic Thermodynamics for Non-Markovian Processes
- Holevo's bound from a general quantum fluctuation theorem
- A quasiprobability distribution for heat fluctuations in the quantum regime
- The quantum-classical correspondence principle for work distributions
- Quantum work statistics of linear and nonlinear parametric oscillators
- Jarzynski equality for quantum stochastic maps
- Comparison of work fluctuation relations
- Non-equilibrium equalities with unital quantum channels
- Verification of the Quantum Nonequilibrium Work Relation in the Presence of Decoherence
- Bosons Outperform Fermions -- The Thermodynamic Advantage of Symmetry
- Thermodynamic length for far from equilibrium quantum systems
- Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme
- Work as an external quantum observable and an operational quantum work fluctuation theorem
- Quantum fluctuation theorem to benchmark quantum annealers
- Quantum entropy production in phase space
- Quantum-Classical Correspondence Principle for Work Distributions in a Chaotic System
- Interference of Identical Particles and the Quantum Work Distribution
- Quantum Fluctuation Theorems
- Quantum Fluctuation Relations for Ensembles of Wave Functions
- Quantum free energy differences from non-equilibrium path integrals: II. Convergence properties for the harmonic oscillator
- Quantum Jarzynski equality of measurement-based work extraction
- Merits and Qualms of Work Fluctuations in Classical Fluctuation Theorems
- The Measure-theoretic Identity Underlying Transient Fluctuation Theorems
- Deformed Jarzynski Equality
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- Informational steady-states and conditional entropy production in continuously monitored systems: the case of Gaussian systems
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- Conditional quantum thermometry -- enhancing precision by measuring less
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