Timescales in the quench dynamics of many-body quantum systems: Participation ratio versus out-of-time ordered correlator

Fausto Borgonovi, Felix M. Izrailev, Lea F. Santos

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

13 Citazioni (Scopus)

Abstract

We study quench dynamics in the many-body Hilbert space using two isolated systems with a finite number of interacting particles: a paradigmatic model of randomly interacting bosons and a dynamical (clean) model of interacting spins-1/2. For both systems in the region of strong quantum chaos, the number of components of the evolving wave function, defined through the number of principal components Npc (or participation ratio), was recently found to increase exponentially fast in time [Phys. Rev. E 99, 010101(R) (2019)2470-004510.1103/PhysRevE.99.010101]. Here, we ask whether the out-of-time ordered correlator (OTOC), which is nowadays widely used to quantify instability in quantum systems, can manifest analogous time dependence. We show that Npc can be formally expressed as the inverse of the sum of all OTOCs for projection operators. While none of the individual projection OTOCs show an exponential behavior, their sum decreases exponentially fast in time. The comparison between the behavior of the OTOC with that of the Npc helps us better understand wave packet dynamics in the many-body Hilbert space, in close connection with the problems of thermalization and information scrambling.
Lingua originaleEnglish
pagine (da-a)052143-052153
Numero di pagine11
RivistaPhysical review. E
Volume99
DOI
Stato di pubblicazionePubblicato - 2019

Keywords

  • many body quantum systems
  • quantum chaos

Fingerprint Entra nei temi di ricerca di 'Timescales in the quench dynamics of many-body quantum systems: Participation ratio versus out-of-time ordered correlator'. Insieme formano una fingerprint unica.

Cita questo