Linear response theory and entropic fluctuations in repeated interaction quantum systems

Abstract

We study Linear Response Theory and Entropic Fluctuations of finite dimensional non-equilibrium repeated interaction systems (RIS). More precisely, in a situation where the temperatures of the probes can take a finite number of different values, we prove analogs of the Green-Kubo fluctuation-dissipation formula and Onsager reciprocity relations on energy flux observables. Then we prove a Large Deviation Principle, or Fluctuation Theorem, and a Central Limit Theorem on the full counting statistics of entropy fluxes. We consider two types of non-equilibrium RIS: either the temperatures of the probes are deterministic and arrive in a cyclic way, or the temperatures of the probes are described by a sequence of i.i.d. random variables with uniform distribution over a finite set.

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• Large deviations and Chernoff bound for certain correlated states on a spin chain
• Steady state fluctuations of the dissipated heat for a quantum stochastic model
• Sanov and Central Limit Theorems for output statistics of quantum Markov chains
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Cited by in corpus (6)

• On entropy production of repeated quantum measurements II. Examples
• Multiple entropy production for multitime quantum processes
• Markovian Repeated Interaction Quantum Systems
• Fermionic walkers driven out of equilibrium
• Quenched large deviations of Birkhoff sums along random quantum measurements
• Integral fluctuation theorems and trace-preserving map