Résumés > François Huveneers

François Huveneers - "Pre-thermalization and slow (or even absence of) energy absorption in periodically driven many-body systems"

In this talk, I will discuss the emergence of quasi, or sometimes strictly, conserved quantities in periodically driven many-body quantum systems. In the generic case of an ergodic Hamiltonian, I will show that the rate of absorption of energy becomes exponentially small in the driving frequency (in the large frequency limit).

In the particular case of a many-body localized Hamiltonian, characterized by a full set of local integral of motions (LIOMs), I will show that the driven system itself admits a full set of strictly conserved LIOMs, if the driving frequency is high enough.

Moreover, I will show that the ideas developed in the context of driven systems can be generalized to describe the emergence of pre-thermal behavior for several closed quantum systems. I will discuss some physical implications of these findings.

(from joint work with D. Abanin, W. De Roeck, W. W. Ho)

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