Fluctuation theorems for non-Markovian quantum processes

Abstract

Exploiting previous results on Markovian dynamics and fluctuation theorems, we study the consequences of memory effects on single realizations of nonequilibrium processes within an open system approach. The entropy production along single trajectories for forward and backward processes is obtained with the help of a recently proposed classical-like non-Markovian stochastic unravelling, which is demonstrated to lead to a correction of the standard entropic fluctuation theorem. This correction is interpreted as resulting from the interplay between the information extracted from the system through measurements and the flow of information from the environment to the open system: Due to memory effects single realizations of a dynamical process are no longer independent, and their correlations fundamentally affect the behavior of entropy fluctuations.

7 pages, 1 figure

References in corpus (6)

• Fluctuation Theorem for Arbitrary Open Quantum Systems
• Non-Markovian quantum jumps
• Open system dynamics with non-Markovian quantum jumps
• Holevo's bound from a general quantum fluctuation theorem
• Stochastic jump processes for non-Markovian quantum dynamics
• Local in time master equations with memory effects: Applicability and interpretation

Cited by in corpus (20)

• Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
• Nonequilibrium thermodynamics in the strong coupling and non-Markovian regime based on a reaction coordinate mapping
• Non-equilibrium quantum fluctuations of work
• Fully quantum fluctuation theorems
• Non-Markovianity and negative entropy production rates
• Quantum thermal machines with single nonequilibrium environments
• Non-equilibrium steady-states of memoryless quantum collision models
• Optimal protocols for slowly-driven quantum processes
• Entropy production and information fluctuations along quantum trajectories
• Quantum thermal machine acting on a many-body quantum system: role of correlations in thermodynamic tasks
• Otto engine beyond its standard quantum limit
• Thermodynamics of Quantum-Jump-Conditioned Feedback Control
• Jarzynski Equality for Driven Quantum Field Theories
• Quantum work statistics of charged Dirac particles in time-dependent fields
• Thermodynamics and the quantum speed limit in the non-Markovian regime
• Thermodynamic utility of Non-Markovianity from the perspective of resource interconversion
• Quantifying non-Markovianity due to driving and a finite-size environment in an open quantum system
• Extracting work from the magnetic field coupled Brownian particles
• The Minimal Modal Interpretation of Quantum Theory
• Distributed thermal tasks on many-body systems through a single quantum machine