A measurement-adapted coarse-graining method derives a fourth-order effective quantum master equation for open quantum systems, with analytical parameters, regularization for singularities, and demonstration on superconducting qubit readout dynamics.
Coarse-graining in the derivation of Markovian master equations and its significance in quantum thermodynamics
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abstract
The coarse-graining approach to deriving the quantum Markovian master equation is revisited, with close attention given to the underlying approximations. It is further argued that the time interval over which the coarse-graining is performed is a free parameter that can be given a physical measurement-based interpretation. In the case of the damping of composite systems to reservoirs of different temperatures, currently of much interest in the study of quantum thermal machines with regard to the validity of `local' and `global' forms of these equations, the coupling of the subsystems leads to a further timescale with respect to which the coarse-graining time interval can be chosen. Different choices lead to different master equations that correspond to the local and global forms. These can be then understood as having different physical interpretations based on the role of the coarse-graining, as well as different limitations in application.
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UNVERDICTED 4representative citing papers
A unified thermodynamic analysis of nonsecular master equations shows consistent second-law compliance via microscopic entropy production, with transient differences from Spohn inequality and no cyclic work extractable from non-Gibbs steady states under a single bath.
Non-secular Redfield dynamics for unequally damped strongly interacting oscillators produces non-Gibbs steady states via bath-induced coherences between nearly-degenerate levels.
Reviews transient synchronization in open quantum systems of oscillators and spins, highlighting a common enabling mechanism under local or global dissipation.
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Model Order Reduction for Open Quantum Systems Based on Measurement-adapted Time-coarse Graining
A measurement-adapted coarse-graining method derives a fourth-order effective quantum master equation for open quantum systems, with analytical parameters, regularization for singularities, and demonstration on superconducting qubit readout dynamics.
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A refined thermodynamic analysis of nonsecular master equations
A unified thermodynamic analysis of nonsecular master equations shows consistent second-law compliance via microscopic entropy production, with transient differences from Spohn inequality and no cyclic work extractable from non-Gibbs steady states under a single bath.
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Bath-induced deviations from Gibbs statistics for strongly interacting oscillators
Non-secular Redfield dynamics for unequally damped strongly interacting oscillators produces non-Gibbs steady states via bath-induced coherences between nearly-degenerate levels.
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Transient synchronization in open quantum systems
Reviews transient synchronization in open quantum systems of oscillators and spins, highlighting a common enabling mechanism under local or global dissipation.