Dynamical crossover in the transient quench dynamics of short-range transverse-field Ising models

Ceren B. Dağ and Kai Sun
Phys. Rev. B 103, 214402 – Published 1 June 2021

Abstract

Dynamical detection of quantum phases and phase transitions (QPTs) in quenched systems with experimentally convenient initial states is a topic of interest from both theoretical and experimental perspectives. Quenched from polarized states, longitudinal magnetization decays exponentially to zero in time for the short-range transverse-field Ising model and hence has a featureless steady state regime, which prevents it from exhibiting dynamical phase transitions of type I. In this paper, we ask whether the transient regimes of such nonequilibrium processes probed by single-site observables, that is magnetization per site, could encode information about the underlying QPT. The decay rates of time-dependent and single-site observables exhibit a dynamical crossover that separates two dynamical regions, ordered and disordered, both of which have distinct nonequilibrium responses. We construct a dynamical order parameterlike quantity that exhibits a scaling law in the vicinity of the crossover. Our results reveal that scaling law exponent in short times in the close vicinity of the dynamical crossover is significantly different than the one predicted by analytical theory for long times. When integrability is strongly broken, the crossover boundary turns into a region that separates two other dynamical regions that act like dynamically ordered and disordered regimes.

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  • Received 3 May 2020
  • Revised 2 April 2021
  • Accepted 7 May 2021

DOI:https://doi.org/10.1103/PhysRevB.103.214402

©2021 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsStatistical Physics & ThermodynamicsAtomic, Molecular & OpticalCondensed Matter, Materials & Applied PhysicsQuantum Information, Science & Technology

Authors & Affiliations

Ceren B. Dağ* and Kai Sun

  • Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA

  • *cbdag@umich.edu

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Vol. 103, Iss. 21 — 1 June 2021

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