Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems

Takashi Mori, Tomotaka Kuwahara, Keiji Saito

Research output: Contribution to journalArticlepeer-review

132 Citations (Scopus)

Abstract

We discuss the universal nature of relaxation in isolated many-body quantum systems subjected to global and strong periodic driving. Our rigorous Floquet analysis shows that the energy of the system remains almost constant up to an exponentially long time in frequency for arbitrary initial states and that an effective Hamiltonian obtained by a truncation of the Floquet-Magnus expansion is a quasiconserved quantity in a long time scale. These two general properties lead to an intriguing classification on the initial stage of relaxation, one of which is similar to the prethermalization phenomenon in nearly integrable systems.

Original languageEnglish
Article number120401
JournalPhysical review letters
Volume116
Issue number12
DOIs
Publication statusPublished - 2016 Mar 21

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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