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Quantum fluctuation-dissipation theorem far from equilibrium

Quantum fluctuation-dissipation theorem far from equilibrium
Physical Review B, 104, 085439 (2021)

Fluctuations associated with relaxations in the far-from-equilibrium regime is of fundamental interest for a large variety of systems within broad scales. Recent advances in techniques such as spectroscopy have generated the possibility for measuring the fluctuations of the mesoscopic systems in connection to the relaxation processes when driving the underlying quantum systems far from equilibrium. We present a general nonequilibrium fluctuation-dissipation theorem (FDT) for quantum Markovian processes where the detailed-balance condition is violated. Apart from the fluctuations, the relaxation involves extra correlation that is governed by the quantum curl flux emerged in the far-from-equilibrium regime. Such a contribution vanishes for the thermal equilibrium, so that the conventional FDT is recovered. We finally apply the nonequilibrium FDT to the molecular junctions, elaborating the detailed-balance-breaking effects on the optical transmission spectrum. Our results have the advantage of and exceed the scope of the fluctuation-dissipation relation in the perturbative and near equilibrium regimes, and is of broad interest for the study of quantum thermodynamics.

Read more at Physical Review B:
https://doi.org/10.1103/PhysRevB.104.085439


30 Aug 2021
Theoretical and Computational Physics
Prof. ZHANG Zhedong
Prof. ZHANG Zhedong
Assistant Professor