Journal
PHYSICAL REVIEW LETTERS
Volume 120, Issue 11, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.120.110603
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Funding
- U.S. ARO [W911NF-11-1-0230]
- AFOSR [FA9550-16-1-0006]
- MURI-ARO [W911NF-17-1-0323]
- Overseas Collaboration Program of NSF of China - Peking University [11429402]
- Strategic Priority Research Program of the Chinese Academy of Sciences [XDB21010100]
- DFG within the Cluster of Excellence NIM
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Time crystals, a phase showing spontaneous breaking of time-translation symmetry, has been an intriguing subject for systems far away from equilibrium. Recent experiments found such a phase in both the presence and the absence of localization, while in theories localization by disorder is usually assumed a priori. In this work, we point out that time crystals can generally exist in systems without disorder. A series of clean quasi-one-dimensional models under Floquet driving are proposed to demonstrate this unexpected result in principle. Robust time crystalline orders are found in the strongly interacting regime along with the emergent integrals of motion in the dynamical system, which can be characterized by level statistics and the out-of-time-ordered correlators. We propose two cold atom experimental schemes to realize the clean Floquet time crystals, one by making use of dipolar gases and another by synthetic dimensions.
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