Semi-Markov processes in open quantum systems: Connections and applications in counting statistics
arXiv:2208.03910 · doi:10.1103/PhysRevE.106.054152
Abstract
Using the age-structure formalism, we definitely establish connections between semi-Markov processes and the dynamics of open quantum systems that satisfy the Markov quantum master equations. A generalized Feynman-Kac formula of the semi-Markov processes is also proposed. In addition to inheriting all statistical properties possessed by the piecewise deterministic processes of wavefunctions, the semi-Markov processes show their unique advantages in quantum counting statistics. Compared with the conventional method of the tilted quantum master equation, they can be applied to more general counting quantities. In particular, the terms involved in the method have precise probability meanings. We use a driven two-level quantum system to exemplify these results.
arXiv comment3 figures
References in corpus (40)
- The large deviation approach to statistical mechanics
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Thermodynamic uncertainty relation for biomolecular processes
- Electron Counting Statistics and Coherent States of Electric Current
- Dissipation bounds all steady-state current fluctuations
- Quantum jumps of light recording the birth and death of a photon in a cavity
- Observing single quantum trajectories of a superconducting qubit
- To catch and reverse a quantum jump mid-flight
- Thermodynamics of Quantum Jump Trajectories
- Tracking Photon Jumps with Repeated Quantum Non-Demolition Parity Measurements
- Quantum master equation for electron transport through quantum dots and single molecules
- Unravelling the large deviation statistics of Markovian open quantum systems
- Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
- Quantum jump approach for work and dissipation in a two-level system
- Fluctuation theorems for quantum master equations
- Quantum Trajectory Approach to the Stochastic Thermodynamics of a Forced Harmonic Oscillator
- Quantum thermodynamic uncertainty relation for continuous measurement
- Non-Poissonian Quantum Jumps of a Fluxonium Qubit due to Quasiparticle Excitations
- Entropy fluctuation theorems in driven open systems: application to electron counting statistics
- Quantum Operation Time Reversal
- Thermodynamic uncertainty relation in slowly driven quantum heat engines
- From non-Brownian Functionals to a Fractional Schrödinger Equation
- Markovian Master Equation and Thermodynamics of Two-level System in Strong Laser Field
- Observing quantum state diffusion by heterodyne detection of fluorescence
- Fluctuation theorem for counting-statistics in electron transport through quantum junctions
- Thermodynamics of Gambling Demons
- Quantum jumps and entropy production
- Inverse counting statistics for stochastic and open quantum systems: the characteristic polynomial approach
- Fluctuations of Quantum Currents and Unravelings of Master Equations
- Characteristic Functions Based on Quantum Jump Trajectory
- Steady state fluctuations of the dissipated heat for a quantum stochastic model
- Calculating work in adiabatic two-level quantum Markovian master equations: A characteristic function method
- Quantum Fluctuation Theorem under Continuous Measurement and Feedback
- A framework for the direct evaluation of large deviations in non-Markovian processes
- Work and heat probability distributions in out-of-equilibrium systems
- On a tilted Liouville-master equation of open quantum systems
- Deriving a kinetic uncertainty relation for piecewise deterministic processes: from classical to quantum