Exotic Synchronization in Continuous Time Crystals Outside the Symmetric Subspace

Exploring continuous time crystals (CTCs) within the symmetric subspace of spin systems has been a subject of intensive research in recent times. Thus far, the stability of the time-crystal phase outside the symmetric subspace in such spin systems has gone largely unexplored. Here, we investigate the effect of including the asymmetric subspaces on the dynamics of CTCs in a driven dissipative spin model. This results in multistability, and the dynamics becomes dependent on the initial state. Remarkably, this multistability leads to exotic synchronization regimes such as chimera states and cluster synchronization in an ensemble of coupled identical CTCs. Interestingly, it leads to other nonlinear phenomena such as oscillation death and signature of chaos.

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Publication Details

Journal
Physical Review Letters
Published
2024-12-27
DOI
https://doi.org/10.1103/physrevlett.133.260403
Citations
12
Primary Topic
Nonlinear Dynamics and Pattern Formation
Type
article
Field-Weighted Citation Impact
4.19

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article

Exotic Synchronization in Continuous Time Crystals Outside the Symmetric Subspace

Midhun Krishna, Christoph Bruder, Sai Vinjanampathy, Parvinder Solanki et al.
12 citations
Physical Review Letters
Nonlinear Dynamics and Pattern Formation
4.19
article

Exotic Synchronization in Continuous Time Crystals Outside the Symmetric Subspace

Midhun Krishna, Christoph Bruder, Sai Vinjanampathy, Parvinder Solanki, Michal Hajdušek
article en
12 citations

Abstract

Exploring continuous time crystals (CTCs) within the symmetric subspace of spin systems has been a subject of intensive research in recent times. Thus far, the stability of the time-crystal phase outside the symmetric subspace in such spin systems has gone largely unexplored. Here, we investigate the effect of including the asymmetric subspaces on the dynamics of CTCs in a driven dissipative spin model. This results in multistability, and the dynamics becomes dependent on the initial state. Remarkably, this multistability leads to exotic synchronization regimes such as chimera states and cluster synchronization in an ensemble of coupled identical CTCs. Interestingly, it leads to other nonlinear phenomena such as oscillation death and signature of chaos.

Physical Review LettersVol. 133(26)
Centre for Quantum Technologies (SG), University of Basel (CH), Keio University (JP), Keio University Shonan Fujisawa (JP), Computing Center (RU)
Department of Science and Technology, Ministry of Science and Technology, India, Ministry of Education, Culture, Sports, Science and Technology, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Openalex Percentile: Top 5%
Nonlinear Dynamics and Pattern Formation
4.19
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Exotic Synchronization in Continuous Time Crystals Outside the Symmetric Subspace — Midhun Krishna, Christoph Bruder, et al. · Physical Review Letters (2024) | TGRS Research Map | TGRS