Detecting quantum phase transitions in the quasistationary regime of Ising chains

Ceren B. Dağ, Philipp Uhrich, Yidan Wang, Ian P. McCulloch, and Jad C. Halimeh
Phys. Rev. B 107, 094432 – Published 28 March 2023

Abstract

Recently, single-site observables have been shown to be useful for probing critical slowing down in sudden quench dynamics [Dağ et al., Phys. Rev. B 107, L121113 (2023)]. Here, we demonstrate the potential of single-site magnetization as a probe of quantum phase transitions in integrable and nonintegrable transverse-field Ising chains (TFIC). We analytically prove the requirement of zero modes for the quasistationary regime to emerge at a probe site near the edge, and show how this regime gives rise to a nonanalytic behavior in the dynamical order profiles. Our t-DMRG calculations verify the results of the quench mean-field theory for near-integrable TFIC both with finite-size and finite-time scaling analyses. We find that both finite-size and finite-time analyses suggest a dynamical critical point for a strongly nonintegrable and locally connected TFIC. We finally demonstrate the presence of a quasistationary regime in the power-law interacting TFIC, and extract local dynamical order profiles for TFIC in the long-range Ising universality class with algebraic light cones.

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  • Received 14 October 2021
  • Revised 21 December 2022
  • Accepted 21 February 2023

DOI:https://doi.org/10.1103/PhysRevB.107.094432

©2023 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsQuantum Information, Science & TechnologyAtomic, Molecular & OpticalStatistical Physics & Thermodynamics

Authors & Affiliations

Ceren B. Dağ1,2,3,*, Philipp Uhrich4, Yidan Wang2, Ian P. McCulloch5, and Jad C. Halimeh4

  • 1ITAMP, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA
  • 2Department of Physics, Harvard University, 17 Oxford Street Cambridge, Massachusetts 02138, USA
  • 3Department of Physics, University of Michigan, Ann Arbor, Michigan 48109, USA
  • 4Pitaevskii BEC Center, CNR-INO and Dipartimento di Fisica, Università di Trento, I-38123 Trento, Italy
  • 5School of Mathematics and Physics, University of Queensland, St. Lucia, Queensland 4072, Australia

  • *ceren.dag@cfa.harvard.edu

See Also

Critical slowing down in sudden quench dynamics

Ceren B. Dağ, Yidan Wang, Philipp Uhrich, Xuesen Na, and Jad C. Halimeh
Phys. Rev. B 107, L121113 (2023)

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Vol. 107, Iss. 9 — 1 March 2023

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