English

Periodic steady state and interference in a periodically driven quantum system

Statistical Mechanics 2015-04-29 v5 Quantum Physics

Abstract

We study the coherent dynamics of a quantum many-body system subject to a time-periodic driving. We argue that in many cases, destructive interference in time makes most of the quantum averages time-periodic, after an initial transient. We discuss in detail the case of a quantum Ising chain periodically driven across the critical point, finding that, as a result of quantum coherence, the system never reaches an infinite temperature state. Floquet resonance effects are moreover observed in the frequency dependence of the various observables, which display a sequence of well-defined peaks or dips. Extensions to non-integrable systems are discussed.

Keywords

Cite

@article{arxiv.1204.5084,
  title  = {Periodic steady state and interference in a periodically driven quantum system},
  author = {Angelo Russomanno and Alessandro Silva and Giuseppe E. Santoro},
  journal= {arXiv preprint arXiv:1204.5084},
  year   = {2015}
}

Comments

5 pages, 3 figures, supplementary material, Accepted by PRL

R2 v1 2026-06-21T20:53:30.901Z