Quantum jump model for a system with a finite-size environment

Abstract

Measuring the thermodynamic properties of open quantum systems poses a major challenge. A calorimetric detection has been proposed as a feasible experimental scheme to measure work and fluctuation relations in open quantum systems. However, the detection requires a finite size for the environment, which influences the system dynamics. This process cannot be modeled with the standard stochastic approaches. We develop a quantum jump model suitable for systems coupled to a finite-size environment. With the method we study the common fluctuation relations and prove that they are satisfied.

8 pages, 3 figures

References in corpus (12)

• A single-atom heat engine
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Fluctuation Theorem for Arbitrary Open Quantum Systems
• Fast electron thermometry towards ultra-sensitive calorimetric detection
• Jarzynski equality in $\mathcal{P}\mathcal{T}$-symmetric quantum mechanics
• Functional Integral approach to time-dependent heat exchange in open quantum systems: general method and applications
• Heat-exchange statistics in driven open quantum systems
• Incomplete measurement of work in a dissipative two level system
• Equivalent definitions of the quantum nonadiabatic entropy production
• Moments of work in the two-point measurement protocol for a driven open quantum system
• Heat due to system-reservoir correlations in thermal equilibrium
• Fluctuations of work in nearly adiabatically driven open quantum systems

Cited by in corpus (21)

• Quantum fluctuation theorems for arbitrary environments: adiabatic and non-adiabatic entropy production
• Path integral approach to quantum thermodynamics
• Thermodynamics in Single-Electron Circuits and Superconducting Qubits
• Quantum Trajectory Thermodynamics with Discrete Feedback Control
• Probing quantum fluctuation theorems in engineered reservoirs
• A self-contained quantum harmonic engine
• Open quantum systems coupled to finite baths: A hierarchy of master equations
• Work distribution in thermal processes
• Entropy production and fluctuations in a Maxwell's refrigerator with squeezing
• Revealing the strokes of autonomous quantum heat engines with work and heat fluctuations
• Quantifying non-Markovianity due to driving and a finite-size environment in an open quantum system
• Heat distribution in open quantum systems with maximum entropy production
• An exactly solvable model of calorimetric measurements
• Maximally effcient quantum thermal machines fuelled by nonequilibrium steady states
• Fluctuation Relation for Qubit-Calorimetry
• Comparison between quantum jumps and master equation in the presence of a finite environment
• Calorimetric measurement of work for a driven harmonic oscillator
• Analysis of the conditional average and conditional variance of dissipated energy in the driven spin-boson model
• On a tilted Liouville-master equation of open quantum systems
• Apparent Heating due to Imperfect Calorimetric Measurements
• Quantum thermodynamics under continuous monitoring: a general framework