Fisher zeros and persistent temporal oscillations in nonunitary quantum circuits

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

doi:10.1103/PhysRevResearch.4.013018

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 journal › Article › peer-review

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.

Original language	English
Article number	013018
Number of pages	13
Journal	Physical Review Research
Volume	4
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevResearch.4.013018
Publication status	Published - 7 Jan 2022

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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.
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https://arxiv.org/abs/2103.10628Licence: CC BY

Controlling Emergent Orders in Quantum: Controlling Emergent Orders in Quantum Materials
Wahl, P. (PI), Hooley, C. (CoI) & Lee, S. (CoI)
EPSRC
1/06/18 → 30/06/23
Project: Standard

Cite this

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title = "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.",

author = "Sankhya Basu and Arovas, {Daniel P.} and Sarang Gopalakrishnan and Chris Hooley and Vadim Oganesyan",

note = "Funding: UK Engineering and Physical Sciences Research Council (EPSRC) grant EP/R031924/1.",

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AU - Hooley, Chris

AU - Oganesyan, Vadim

N1 - Funding: UK Engineering and Physical Sciences Research Council (EPSRC) grant EP/R031924/1.

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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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Fisher zeros and persistent temporal oscillations in nonunitary quantum circuits

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Controlling Emergent Orders in Quantum: Controlling Emergent Orders in Quantum Materials

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