Fisher zeros and persistent temporal oscillations in non-unitary quantum circuits
Abstract
We present a quantum circuit with measurements and post-selection 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 \emph{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 non-equilibrium dynamical ones, correspond to complex-temperature equilibrium phases of the exactly solvable square-lattice anisotropic Ising model.
Cite
@article{arxiv.2103.10628,
title = {Fisher zeros and persistent temporal oscillations in non-unitary quantum circuits},
author = {Sankhya Basu and Daniel P. Arovas and Sarang Gopalakrishnan and Chris A. Hooley and Vadim Oganesyan},
journal= {arXiv preprint arXiv:2103.10628},
year = {2022}
}
Comments
v1-->v2: significantly revised, new co-author added; small typo fixed in the most recent version 3