Fisher zeros and persistent temporal oscillations in nonunitary quantum circuits
Abstract
We present a quantum circuit with measurements and postselection that exhibits a panoply of space- and/or time-ordered phases from ferromagnetic order to spin-density waves to time crystals. Unlike the time crystals that have been found in unitary models, those that occur here are incommensurate with the drive frequency. The period of the incommensurate time-crystal phase may be tuned by adjusting the circuit parameters. We demonstrate that the phases of our quantum circuit, including the inherently nonequilibrium dynamical ones, correspond to complex-temperature equilibrium phases of the exactly solvable square-lattice anisotropic Ising model.
Citation
Basu , S , Arovas , D P , Gopalakrishnan , S , Hooley , C & Oganesyan , V 2022 , ' Fisher zeros and persistent temporal oscillations in nonunitary quantum circuits ' , Physical Review Research , vol. 4 , no. 1 , 013018 . https://doi.org/10.1103/PhysRevResearch.4.013018
Publication
Physical Review Research
Status
Peer reviewed
ISSN
2643-1564Type
Journal article
Rights
Copyright © 2021 by the authors. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Description
Funding: UK Engineering and Physical Sciences Research Council (EPSRC) grant EP/R031924/1.Collections
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.