Unified Treatment of Quantum Fluctuation Theorem and Jarzynski Equality in Terms of microscopic reversibility
arXiv:cond-mat/0410623 · doi:10.1103/PhysRevE.72.027102
Abstract
There are two related theorems which hold even in far from equilibrium, namely fluctuation theorem and Jarzynski equality. Fluctuation theorem states the existence of symmetry of fluctuation of entropy production, while Jarzynski equality enables us to estimate the free energy change between two states by using irreversible processes. On the other hand, relationship between these theorems was investigated by Crooks for the classical stochastic systems. In this letter, we derive quantum analogues of fluctuation theorem and Jarzynski equality microscopic reversibility condition. In other words, the quantum analogue of the work by Crooks is presented.
7pages, revised version
References in corpus (3)
Cited by in corpus (51)
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Fluctuation theorems: Work is not an observable
- Rare events and the convergence of exponentially averaged work values
- Entropy production and the arrow of time
- Nonequilibrium entropy production for open quantum systems
- Fluctuation theorem for currents in open quantum systems
- Nonequilibrium work distribution of a quantum harmonic oscillator
- Fluctuation theorems for quantum master equations
- Quantum Trajectory Approach to the Stochastic Thermodynamics of a Forced Harmonic Oscillator
- Fully quantum fluctuation theorems
- Fluctuation theorems for quantum processes
- Nonequilibrium potential and fluctuation theorems for quantum maps
- Quantum work relations and response theory
- Fluctuations in Nonequilibrium Statistical Mechanics: Models, Mathematical Theory, Physical Mechanisms
- Quantum Fluctuation Relations for the Lindblad Master Equation
- Fluctuation theorem for counting-statistics in electron transport through quantum junctions
- Integral Quantum Fluctuation Theorems under Measurement and Feedback control
- Jarzynski equation for a simple quantum system: Comparing two definitions of work
- Quantum nonequilibrium equalities with absolute irreversibility
- Non-Markovian thermal operations boosting the performance of quantum heat engines
- Moments of work in the two-point measurement protocol for a driven open quantum system
- Jarzynski Equality for Driven Quantum Field Theories
- Work fluctuations in quantum spin chains
- Quantum and classical fluctuation theorems from a decoherent histories, open-system analysis
- Quantum Fluctuation Theorems
- Quantum coherence and criticality in irreversible work
- A unified approach to the derivation of work theorems for equilibrium and steady-state, classical and quantum Hamiltonian systems
- Quantum fluctuation theorems in the strong damping limit
- Time-dependent magnetotransport in an interacting double quantum wire with window coupling
- Model Studies on the Quantum Jarzynski Relation
- Nonequilibrium work and entropy production by quantum projective measurements
- A test of "fluctuation theorem" in non-Markovian open quantum systems
- Electron transport through a quantum dot assisted by cavity photons
- Statistics of heat transport across capacitively coupled double quantum dot circuit
- Fluctuations of the heat exchanged between two quantum spin chains
- Responses to applied forces and the Jarzynski equality in classical oscillator systems coupled to finite baths: An exactly solvable non-dissipative non-ergodic model
- Work fluctuation theorem for a classical circuit coupled to a quantum conductor
- Easy access to energy fluctuations in non-equilibrium quantum many-body systems
- Statistics of work done in degenerate parametric amplification process
- Microscopic reversibility of quantum open systems
- Exploring the extent of validity of quantum work fluctuation theorems in the presence of weak measurements
- Microscopic analysis of the microscopic reversibility in quantum systems
- Quantum transport phenomena induced by time-dependent fields
- Derivation of quantum master equation with counting fields by monitoring a probe
- Zero-Fluctuation Quantum Work Extraction
- Thermodynamic arrow of time of quantum projective measurements
- Calculation of semiclassical free energy differences along non-equilibrium classical trajectories
- On the Quantum Jarzynski Identity
- Counting statistics of energy transport across squeezed thermal reservoirs
- Quantum Work Relations under Trial Hamiltonians
- Foundations of Statistical Mechanics: in and out of Equilibrium