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Fisher zeros and persistent temporal oscillations in nonunitary quantum circuits

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Date
07/01/2022
Author
Basu, Sankhya
Arovas, Daniel P.
Gopalakrishnan, Sarang
Hooley, Chris
Oganesyan, Vadim
Funder
EPSRC
Grant ID
EP/R031924/1
Keywords
QC Physics
TK Electrical engineering. Electronics Nuclear engineering
T-NDAS
NCAD
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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
DOI
https://doi.org/10.1103/PhysRevResearch.4.013018
ISSN
2643-1564
Type
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
  • University of St Andrews Research
URL
https://arxiv.org/abs/2103.10628
URI
http://hdl.handle.net/10023/25001

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