Detecting Equilibrium and Dynamical Quantum Phase Transitions in Ising Chains via Out-of-Time-Ordered Correlators

Physical Review Letters
Markus HeylBalázs Dóra

Abstract

Out-of-time-ordered (OTO) correlators have developed into a central concept quantifying quantum information transport, information scrambling, and quantum chaos. In this Letter, we show that such an OTO correlator can also be used to dynamically detect equilibrium as well as nonequilibrium phase transitions in Ising chains. We study OTO correlators of an order parameter both in equilibrium and after a quantum quench for different variants of transverse-field Ising models in one dimension, including the integrable one as well as nonintegrable and long-range extensions. We find for all the studied models that the OTO correlator in ground states detects the quantum phase transition. After a quantum quench from a fully polarized state, we observe numerically for the short-range models that the asymptotic long-time value of the OTO correlator signals still the equilibrium critical points and ordered phases. For the long-range extension, the OTO correlator instead determines a dynamical quantum phase transition in the model. We discuss how our findings can be observed in current experiments of trapped ions or Rydberg atoms.

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Citations

Nov 9, 2019·Physical Review Letters·Ceren B DağL-M Duan
Mar 12, 2020·Scientific Reports·Hadi Cheraghi, Saeed Mahdavifar
Jul 9, 2020·Physical Review Letters·Manoj K JoshiChristian F Roos
Oct 2, 2019·Physical Review Letters·Paraj TitumZhe-Xuan Gong
Nov 9, 2019·Physical Review Letters·Quirin HummelKlaus Richter
Sep 11, 2019·Physical Review. E·Supriyo GhoshShashi C L Srivastava
Sep 19, 2020·Physical Review. E·Debabrata MondalS Sinha
Oct 1, 2020·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Kai-Qian HuangJie Liu
Feb 3, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Sudip SinhaSubhasis Sinha
Jun 11, 2021·Physical Review Letters·Souvik BandyopadhyayAmit Dutta
Jul 6, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Souvik BandyopadhyayDiptiman Sen

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