TY - JOUR
T1 - Fisher zeros and persistent temporal oscillations in nonunitary quantum circuits
AU - Basu, Sankhya
AU - Arovas, Daniel P.
AU - Gopalakrishnan, Sarang
AU - Hooley, Chris A.
AU - Oganesyan, Vadim
N1 - Funding Information:
We are grateful to F. Beichert, R. Moessner, F. Pollmann, D. Huse, E. Fradkin, S. Kivelson, W. Bialek, Alexander Abanov, M. Stoudenmire, Tzu-Chieh Wei, N. Pomata, John Cardy, and Michael Fisher for stimulating discussions over the years. C.A.H. gratefully acknowledges financial support from UKRI under Grant No. EP/R031924/1 and is grateful to Rice University for a visiting appointment in spring 2019 where part of this work was completed. S.B. and V.O. acknowledge support from NSF DMR Grant No. 1508538 and US-Israel BSF Grant No. 2014265.
Publisher Copyright:
Published by the American Physical Society
PY - 2022/3
Y1 - 2022/3
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevResearch.4.013018
DO - 10.1103/PhysRevResearch.4.013018
M3 - Article
AN - SCOPUS:85122861345
SN - 2643-1564
VL - 4
JO - Physical Review Research
JF - Physical Review Research
IS - 1
M1 - 013018
ER -