Observation of time crystal in a spin maser system

Abstract Pair interaction potentials between atoms in a crystal are in general non-monotonic in distance, with a local minimum whose position gives the lattice constant of the crystal. A temporal analogue of this idea of crystal formation is still pending despite intensive studies on the time crysta...

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Main Authors: Weiyu Wang, Mingjun Feng, Qianjin Ma, Zi Cai, Erwei Li, Guobin Liu
Format: Article
Language:English
Published: Nature Portfolio 2025-05-01
Series:Communications Physics
Online Access:https://doi.org/10.1038/s42005-025-02117-x
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author Weiyu Wang
Mingjun Feng
Qianjin Ma
Zi Cai
Erwei Li
Guobin Liu
author_facet Weiyu Wang
Mingjun Feng
Qianjin Ma
Zi Cai
Erwei Li
Guobin Liu
author_sort Weiyu Wang
collection DOAJ
description Abstract Pair interaction potentials between atoms in a crystal are in general non-monotonic in distance, with a local minimum whose position gives the lattice constant of the crystal. A temporal analogue of this idea of crystal formation is still pending despite intensive studies on the time crystal phase. In a hybrid spin maser system with a time delay feedback, we report the observation of a time crystal induced by a retarded interaction with a characteristic time scale. This nonequilibrium phase features a self-sustained oscillation with an emergent frequency other than the intrinsic Larmor precession frequency of the spin maser system. It is shown that the amplitude of the oscillation is robust against perturbation, while its time phase randomly distributes from 0 to 2π for different realizations, a signature of spontaneous time translation symmetry breaking. This time crystal phase emerges only when the feedback strength exceeds a critical value, at which the system experiences a first order phase transition. Such a retarded interaction induced time crystal is closer to the idea of crystal, compared to other time crystal realizations.
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issn 2399-3650
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spelling doaj-art-75534d7d8b8f4dfb8cc1bd5974f23a622025-08-20T01:49:44ZengNature PortfolioCommunications Physics2399-36502025-05-01811610.1038/s42005-025-02117-xObservation of time crystal in a spin maser systemWeiyu Wang0Mingjun Feng1Qianjin Ma2Zi Cai3Erwei Li4Guobin Liu5National Time Service Center, Chinese Academy of SciencesNational Time Service Center, Chinese Academy of SciencesNational Time Service Center, Chinese Academy of SciencesWilczek Quantum Center and Key Laboratory of Artificial Structures and Quantum Control, School of Physics and Astronomy, Shanghai Jiao Tong UniversityNational Time Service Center, Chinese Academy of SciencesNational Time Service Center, Chinese Academy of SciencesAbstract Pair interaction potentials between atoms in a crystal are in general non-monotonic in distance, with a local minimum whose position gives the lattice constant of the crystal. A temporal analogue of this idea of crystal formation is still pending despite intensive studies on the time crystal phase. In a hybrid spin maser system with a time delay feedback, we report the observation of a time crystal induced by a retarded interaction with a characteristic time scale. This nonequilibrium phase features a self-sustained oscillation with an emergent frequency other than the intrinsic Larmor precession frequency of the spin maser system. It is shown that the amplitude of the oscillation is robust against perturbation, while its time phase randomly distributes from 0 to 2π for different realizations, a signature of spontaneous time translation symmetry breaking. This time crystal phase emerges only when the feedback strength exceeds a critical value, at which the system experiences a first order phase transition. Such a retarded interaction induced time crystal is closer to the idea of crystal, compared to other time crystal realizations.https://doi.org/10.1038/s42005-025-02117-x
spellingShingle Weiyu Wang
Mingjun Feng
Qianjin Ma
Zi Cai
Erwei Li
Guobin Liu
Observation of time crystal in a spin maser system
Communications Physics
title Observation of time crystal in a spin maser system
title_full Observation of time crystal in a spin maser system
title_fullStr Observation of time crystal in a spin maser system
title_full_unstemmed Observation of time crystal in a spin maser system
title_short Observation of time crystal in a spin maser system
title_sort observation of time crystal in a spin maser system
url https://doi.org/10.1038/s42005-025-02117-x
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AT guobinliu observationoftimecrystalinaspinmasersystem