Detecting quantum phase transitions in the quasistationary regime of Ising chains

TitleDetecting quantum phase transitions in the quasistationary regime of Ising chains
Publication TypeJournal Article
Year of Publication2023
AuthorsDag, C, Uhrich, P, Wang, Y, McCulloch, IP, Halimeh, JC
JournalPhys. Rev. B
Date Published03/2023

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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