8–10 juin 2022
École française de Rome
Fuseau horaire Europe/Paris

Session

Abstract: The optimal transport problem studied by Monge (1781) and Kantorovich (1942) provides a general method for metrizing the set of Borel probability measures on Rd. The purpose of this talk is to present an analogous method for comparing density operators on L2(Rd), which are the quantum mechanical analogues of probability measures on the phase space Rd×Rd. We shall discuss some properties of the ``pseudo-distance’’ on quantum states obtained in this way, and show applications to some problems in quantum dynamics. (Based on joint works with E. Caglioti, C. Mouhot, T. Paul).

8 juin 2022, 16:30

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