Fisher zeros and persistent temporal oscillations in nonunitary quantum circuits

Sankhya Basu, Daniel P. Arovas, Sarang Gopalakrishnan, Chris Hooley, Vadim Oganesyan

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)
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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.
Original languageEnglish
Article number013018
Number of pages13
JournalPhysical Review Research
Issue number1
Publication statusPublished - 7 Jan 2022


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