APS Logo

Fisher zeros and persistent temporal oscillations in nonunitary quantum circuits

ORAL

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.

Publication: S. Basu, D. P. Arovas, S. Gopalakrishnan, C. A. Hooley, and V. Oganesyan, Phys. Rev. Research 4, 013018 (2022)

Presenters

  • Christopher A Hooley

    Univ of St Andrews

Authors

  • Christopher A Hooley

    Univ of St Andrews

  • Sankhya Basu

    The Graduate Center, City University of

  • Daniel P Arovas

    University of California, San Diego

  • Sarang Gopalakrishnan

    Princeton University, The Pennsylvania State University, Penn State University, Princeton

  • Vadim Oganesyan

    CUNY, Staten Island, The Graduate Center, City University of New York