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Article Dans Une Revue Physical Review Research Année : 2021

Quantum Kolmogorov-Sinai entropy and Pesin relation

Résumé

We discuss a quantum Kolmogorov-Sinai entropy defined as the entropy production per unit time resulting from coupling the system to a weak, auxiliary bath. The expressions we obtain are fully quantum but require that the system is such that there is a separation between the Ehrenfest and the correlation timescales. We show that they reduce to the classical definition in the semiclassical limit, one instance where this separation holds. We show a quantum (Pesin) relation between this entropy and the sum of positive eigenvalues of a matrix describing phase-space expansion. Generalizations to the case where entropy grows sublinearly with time are possible.

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hal-02981229 , version 1 (27-10-2020)

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Tomer Goldfriend, Jorge Kurchan. Quantum Kolmogorov-Sinai entropy and Pesin relation. Physical Review Research, 2021, 3 (2), pp.023234. ⟨10.1103/PhysRevResearch.3.023234⟩. ⟨hal-02981229⟩
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