Exact dynamical fluctuation-response relations are derived that split the finite-time covariance of time-integrated observables into initial variability and an integral of response kernels for nonautonomous Markov jump processes.
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A finite-frequency fluctuation-response inequality bounds the measured lock-in response-to-noise matrix by the output-field quantum Fisher information rate for Markovian open quantum systems.
A trajectory-level derivation shows mutual linearity holds for non-stationary Markov jump processes and generalizes to other systems.
Local perturbations in nonequilibrium Langevin dynamics induce linear relations between stationary densities and currents at different positions due to an underlying one-dimensional response structure.
Derives spectral inequalities bounding the deviation of causal susceptibility from equilibrium FDT reference by entropy production rate and relaxation timescales in driven Markov jump processes.
citing papers explorer
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Finite-frequency fluctuation-response bounds for open quantum systems
A finite-frequency fluctuation-response inequality bounds the measured lock-in response-to-noise matrix by the output-field quantum Fisher information rate for Markovian open quantum systems.
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Mutual Linearity in and out of Stationarity for Markov Jump Processes: A Trajectory-Based Approach
A trajectory-level derivation shows mutual linearity holds for non-stationary Markov jump processes and generalizes to other systems.
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Mutual Linearity in Nonequilibrium Langevin Dynamics
Local perturbations in nonequilibrium Langevin dynamics induce linear relations between stationary densities and currents at different positions due to an underlying one-dimensional response structure.
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Spectral Fluctuation-Dissipation-Response Inequalities
Derives spectral inequalities bounding the deviation of causal susceptibility from equilibrium FDT reference by entropy production rate and relaxation timescales in driven Markov jump processes.