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.
Nonlinear response identities and bounds for nonequilibrium steady states
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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.
Derives nonlinear response relations for Markovian stochastic systems as covariances with a Bell-polynomial conjugate variable set by stochastic entropy production, plus associated fluctuation-response inequalities.
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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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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Nonlinear Response Relations and Fluctuation-Response Inequalities for Nonequilibrium Stochastic Systems
Derives nonlinear response relations for Markovian stochastic systems as covariances with a Bell-polynomial conjugate variable set by stochastic entropy production, plus associated fluctuation-response inequalities.
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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.