Quantum Fluctuation Relations for Ensembles of Wave Functions

Abstract

New quantum fluctuation relations are presented. In contrast with the the standard approach, where the initial state of the driven system is described by the (micro)canonical density matrix, here we assume that it is described by a (micro)canonical distribution of wave functions, as originally proposed by Schrödinger. While the standard fluctuation relations are based on von Neumann measurement postulate, these new fluctuation relations do not involve any quantum collapse, but involve instead a notion of work as the change in expectation of the Hamiltonian.

12 pages, 1 figure. Added illustrative example in v2. Accepted for publication in New Journal of Physics

References in corpus (10)

• Foundation of Statistical Mechanics under experimentally realistic conditions
• Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
• Typicality for Generalized Microcanonical Ensembles
• Fluctuation theorems for continuously monitored quantum fluxes
• Influence of measurements on the statistics of work performed on a quantum system
• Employing Circuit QED to Measure Nonequilibrium Work Fluctuations
• Quantum entropy production in phase space
• Solvable model of quantum microcanonical states
• A generalized quantum microcanonical ensemble
• Thermodynamics with generalized ensembles: The class of dual orthodes

Cited by in corpus (14)

• Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
• Non-equilibrium quantum fluctuations of work
• Quantum work and the thermodynamic cost of quantum measurements
• Assessing the non-equilibrium thermodynamics in a quenched quantum many-body system via single projective measurements
• Employing Circuit QED to Measure Nonequilibrium Work Fluctuations
• Quantum Work in the Bohmian framework
• Jarzynski Equality for Driven Quantum Field Theories
• Quantum work statistics of charged Dirac particles in time-dependent fields
• Fluctuations of work in nearly adiabatically driven open quantum systems
• Thermodynamics of Quantum Heat Bath
• Jarzynski equality for conditional stochastic work
• Entropy and canonical ensemble of hybrid quantum classical systems
• Calorimetric measurement of work for a driven harmonic oscillator
• Single energy measurement Integral Fluctuation theorem and non-projective measurements