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.
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.
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Dynamical Fluctuation-Response Relations
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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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.
- Mutual Linearity in and out of Stationarity for Markov Jump Processes: A Trajectory-Based Approach