Dynamical quantum phase transitions in strongly correlated two-dimensional spin lattices following a quench

Fredrik Brange*, Sebastiano Peotta, Christian Flindt, Teemu Ojanen

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

1 Citation (Scopus)
15 Downloads (Pure)

Abstract

Dynamical quantum phase transitions are at the forefront of current efforts to understand quantum matter out of equilibrium. Except for a few exactly solvable models, predictions of these critical phenomena typically rely on advanced numerical methods. However, those approaches are mostly restricted to one dimension, making investigations of two-dimensional systems highly challenging. Here, we present evidence of dynamical quantum phase transitions in strongly correlated spin lattices in two dimensions. To this end, we apply our recently developed cumulant method [Phys. Rev. X11, 041018 (2021)] to determine the zeros of the Loschmidt amplitude in the complex plane of time, and we predict the crossing points of the thermodynamic lines of zeros with the real-time axis, where dynamical quantum phase transitions occur. We find the critical times of a two-dimensional quantum Ising lattice and the XYZ model with ferromagnetic or antiferromagnetic couplings. We also show how dynamical quantum phase transitions can be predicted by measuring the initial energy fluctuations, for example in quantum simulators or other engineered quantum systems.

Original languageEnglish
Article number033032
Pages (from-to)1-6
Number of pages6
JournalPHYSICAL REVIEW RESEARCH
Volume4
Issue number3
DOIs
Publication statusPublished - 13 Jul 2022
MoE publication typeA1 Journal article-refereed

Keywords

  • EQUILIBRIUM

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