Quantum Trajectory Thermodynamics with Discrete Feedback Control

Abstract

We employ the quantum jump trajectory approach to construct a systematic framework to study the thermodynamics at the trajectory level in a nonequilibrium open quantum system under discrete feedback control. Within this framework, we derive quantum versions of the generalized Jarzynski equalities, which are demonstrated in an isolated pseudospin system and a coherently driven two-level open quantum system. Due to quantum coherence and measurement backaction, a fundamental distinction from the classical generalized Jarzynski equalities emerges in the quantum versions, which is characterized by a large negative information gain reflecting genuinely quantum rare events. A possible experimental scheme to test our findings in superconducting qubits is discussed.

23 pages, 6 figures

References in corpus (24)

• An Open-System Quantum Simulator with Trapped Ions
• Fluctuation theorems: Work is not an observable
• Circuit Quantum Electrodynamics with a Spin Qubit
• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Observation of quantum jumps in a superconducting artificial atom
• Experimental study of mutual information in a Maxwell Demon
• Feedback control of a solid-state qubit using high-fidelity projective measurement
• Comparison of far-from-equilibrium work relations
• Work measurement as a generalized quantum measurement
• Genuine quantum trajectories for non-Markovian processes
• Quantum Operation Time Reversal
• Time-Symmetric Quantum Theory of Smoothing
• Measurement-induced qubit state mixing in circuit QED from up-converted dephasing noise
• Observing quantum state diffusion by heterodyne detection of fluorescence
• Coherence-enhanced efficiency of feedback-driven quantum engines
• Stochastic thermodynamics of rapidly driven systems
• Quantum nonequilibrium equalities with absolute irreversibility
• Quantum Bochkov-Kuzovlev Work Fluctuation Theorems
• Calculating work in adiabatic two-level quantum Markovian master equations: A characteristic function method
• Quantum jump model for a system with a finite-size environment
• Fluctuations of work in nearly adiabatically driven open quantum systems
• Aspects of work

Cited by in corpus (37)

• Non-Hermitian Physics
• Charging a quantum battery with linear feedback control
• Thermodynamic uncertainty relations including measurement and feedback
• Thermodynamics of Gambling Demons
• Dynamics of a qubit while simultaneously monitoring its relaxation and dephasing
• Energy dynamics, heat production and heat-work conversion with qubits: towards the development of quantum machines
• Quantum thermodynamically consistent local master equations
• Heat and work along individual trajectories of a quantum bit
• Autonomous conversion of information to work in quantum dots
• Bounds in Nonequilibrium Quantum Dynamics
• Synchronization along quantum trajectories
• Work as an external quantum observable and an operational quantum work fluctuation theorem
• Detailed Fluctuation Relation for Arbitrary Measurement and Feedback Schemes
• Effects of Quantum Coherence on Work Statistics
• Characteristic Functions Based on Quantum Jump Trajectory
• Quantum Martingale Theory and Entropy Production
• Quantum Fluctuation Theorems
• Rectification in Nonequilibrium Steady States of Open Many-Body Systems
• Quantum Fluctuation Theorem under Continuous Measurement and Feedback
• Non-equilibrium thermodynamics of continuously measured quantum systems: a circuit-QED implementation
• Entropy production and fluctuation theorems in a continuously monitored optical cavity at zero temperature
• Fluctuation theorems in feedback-controlled open quantum systems: quantum coherence and absolute irreversibility
• On leptonic width of $X(4260)$
• Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
• Constraining work fluctuations of non-Hermitian dynamics across the exceptional point of a superconducting qubit
• Time-resolved Stochastic Dynamics of Quantum Thermal Machines
• Work Distributions in 1-D Fermions and Bosons with Dual Contact Interactions
• Thermodynamic indistinguishability and field state fingerprint of quantum optical amplifiers
• The role of quantum measurements in physical processes and protocols
• Comparison between quantum jumps and master equation in the presence of a finite environment
• Contributions to single-shot energy exchanges in open quantum systems
• Calorimetric measurement of work for a driven harmonic oscillator
• Quantum Fluctuation Theorem for Arbitrary Measurement and Feedback Schemes
• Operational work fluctuation theorem for open quantum systems
• Response kinetic uncertainty relation for Markovian open quantum systems
• Fluctuation theorem in cavity quantum electrodynamics systems
• Quantum thermodynamics under continuous monitoring: a general framework