期刊
PHYSICAL REVIEW LETTERS
卷 114, 期 25, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.114.251603
关键词
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资金
- Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan [25103706]
- Honjo International Scholarship Foundation
- Grants-in-Aid for Scientific Research [25103706] Funding Source: KAKEN
In analogy with crystalline solids around us, Wilczek recently proposed the idea of time crystals as phases that spontaneously break the continuous time translation into a discrete subgroup. The proposal stimulated further studies and vigorous debates whether it can be realized in a physical system. However, a precise definition of the time crystal is needed to resolve the issue. Here we first present a definition of time crystals based on the time-dependent correlation functions of the order parameter. We then prove a no-go theorem that rules out the possibility of time crystals defined as such, in the ground state or in the canonical ensemble of a general Hamiltonian, which consists of not-too-long-range interactions.
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