Auxiliary open quantum system for the Floquet quantum master equation
arXiv:2011.07309 · doi:10.1103/PhysRevE.103.022116
Abstract
By directly using the probability formulas of quantum trajectories, we construct an auxiliary open quantum system for a periodically driven open quantum system whose dynamics is governed by the Floquet quantum master equation. This auxiliary system can generate a quantum trajectory ensemble that is consistent with the canonical quantum trajectory ensemble. We find that, at a long time limit, though the Lindblad operators are modified, the coherent dynamics of the auxiliary system is the same as that of the original system. A periodically driven two-level quantum system is used to illustrate this construction.
arXiv comment2 figures
References in corpus (40)
- A nonequilibrium equality for free energy differences
- The large deviation approach to statistical mechanics
- Dynamical Ensembles in Nonequilibrium Statistical Mechanics
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Entropy production along a stochastic trajectory and an integral fluctuation theorem
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
- Path ensembles averages in systems driven far-from-equilibrium
- Quantum Thermodynamics
- The Fluctuation Theorem as a Gibbs Property
- Dynamic first-order phase transition in kinetically constrained models of glasses
- First-order dynamical phase transition in models of glasses: an approach based on ensembles of histories
- Nonequilibrium Markov processes conditioned on large deviations
- Thermodynamics of Quantum Jump Trajectories
- Large deviations and ensembles of trajectories in stochastic models
- Nonequilibrium microcanonical and canonical ensembles and their equivalence
- Floquet-Markov description of the parametrically driven, dissipative harmonic quantum oscillator
- Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states
- Quantum jump approach for work and dissipation in a two-level system
- Quantum Trajectory Approach to the Stochastic Thermodynamics of a Forced Harmonic Oscillator
- Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
- Steady state statistics of driven diffusions
- Quantum Operation Time Reversal
- Statistical mechanics of Floquet systems: the pervasive problem of near degeneracies
- Markovian Master Equation and Thermodynamics of Two-level System in Strong Laser Field
- Nonequilibrium potential and fluctuation theorems for quantum maps
- Rules for transition rates in nonequilibrium steady states
- Making rare events typical in Markovian open quantum systems
- Quantum jumps and entropy production
- Thermodynamic formula for the cumulant generating function of time-averaged current
- Heat-exchange statistics in driven open quantum systems
- Detailed balance has a counterpart in non-equilibrium steady states
- Large deviations conditioned on large deviations I: Markov chain and Langevin equation
- Stochastic thermodynamics of rapidly driven systems
- Quantum trajectory phase transitions in the micromaser
- From quantum heat engines to laser cooling: Floquet theory beyond the Born-Markov approximation
- Energy flow in periodic thermodynamics
- Characteristic Functions Based on Quantum Jump Trajectory
- Steady state fluctuations of the dissipated heat for a quantum stochastic model
- Stochastic Floquet quantum heat engines and stochastic efficiencies