Onsager's regression hypothesis adjusted to quantum systems
Peter Reimann, Christian Eidecker-Dunkel
TL;DR
This paper develops an adjusted quantum version of Onsager's regression hypothesis, bridging classical theory and quantum systems, supported by analytical proofs and numerical examples.
Contribution
It introduces a modified quantum Onsager's regression hypothesis, addressing its previous limitations in quantum regimes.
Findings
Derived a quantum version of Onsager's hypothesis
Provided analytical proofs of the adjusted hypothesis
Supported results with numerical examples
Abstract
Onsager's regression hypothesis connects the temporal relaxation of close-to-equilibrium systems with their dynamical correlation functions at thermal equilibrium. While the hypothesis is provably correct in classical systems, it is known to fail in the quantum regime. Here, we derive a suitably adjusted quantum version of Onsager's original hypothesis. Rigorous analytical results are complemented by a variety of numerical examples.
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