Unpolarized prethermal discrete time crystal

Fuente: arXiv
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Auteurs principaux: Yokota, Takeru, Ikeda, Tatsuhiko N.
Format: Preprint
Publié: 2025
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author Yokota, Takeru
Ikeda, Tatsuhiko N.
author_facet Yokota, Takeru
Ikeda, Tatsuhiko N.
contents Prethermal discrete time crystals (DTCs) are a novel phase of periodically driven matter that exhibits robust subharmonic oscillations without requiring disorder. However, previous realizations of prethermal DTCs have relied on the presence of polarization, either spontaneous or induced. Here, we introduce a new class of prethermal DTCs termed ``unpolarized prethermal discrete time crystals'' (UPDTCs) that arise without any uniform/staggered polarization and propose an experiment to observe them in current trapped-ion quantum simulators. By studying a model of trapped ions using a quantum circuit simulator, we demonstrate that robust period-doubled dynamics can persist in the autocorrelation function of the staggered magnetization, even though its expectation value does not exhibit such dynamics. The period-doubled dynamics is not explained by the classical picture of flipping spins but by quantum fluctuations. We establish that UPDTCs are exponentially long-lived in the high-frequency driving regime, a hallmark of prethermalization. These results expand the known phenomenology and mechanism of prethermal time crystals and underscore the role of quantum effects in stabilizing novel nonequilibrium phases.
format Preprint
id arxiv_https___arxiv_org_abs_2501_09461
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Unpolarized prethermal discrete time crystal
Yokota, Takeru
Ikeda, Tatsuhiko N.
Quantum Gases
Statistical Mechanics
Atomic Physics
Quantum Physics
Prethermal discrete time crystals (DTCs) are a novel phase of periodically driven matter that exhibits robust subharmonic oscillations without requiring disorder. However, previous realizations of prethermal DTCs have relied on the presence of polarization, either spontaneous or induced. Here, we introduce a new class of prethermal DTCs termed ``unpolarized prethermal discrete time crystals'' (UPDTCs) that arise without any uniform/staggered polarization and propose an experiment to observe them in current trapped-ion quantum simulators. By studying a model of trapped ions using a quantum circuit simulator, we demonstrate that robust period-doubled dynamics can persist in the autocorrelation function of the staggered magnetization, even though its expectation value does not exhibit such dynamics. The period-doubled dynamics is not explained by the classical picture of flipping spins but by quantum fluctuations. We establish that UPDTCs are exponentially long-lived in the high-frequency driving regime, a hallmark of prethermalization. These results expand the known phenomenology and mechanism of prethermal time crystals and underscore the role of quantum effects in stabilizing novel nonequilibrium phases.
title Unpolarized prethermal discrete time crystal
topic Quantum Gases
Statistical Mechanics
Atomic Physics
Quantum Physics
url https://arxiv.org/abs/2501.09461