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.
Spectral Fluctuation-Dissipation-Response Inequalities
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abstract
We derive spectral fluctuation--dissipation--response inequalities for finite-state Markov jump processes. By comparing the causal susceptibility to its passive equilibrium reference, we establish frequency-resolved and frequency-integrated inequalities that bound their mismatch in terms of the steady-state entropy production rate, probe variance, short-time perturbation diffusion, and reversible relaxation timescales. Our bounds exactly recover the standard fluctuation--dissipation theorem at equilibrium and apply directly to measurable causal susceptibilities, providing experimentally testable thermodynamic limits on FDT breakdown in driven steady states.
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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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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 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.
- Dynamical Fluctuation-Response Relations