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Absence of Quantum Time Crystals in Ground States

zqyin 添加于 2014-10-9 09:45 | 1355 次阅读 | 0 个评论

作者
Watanabe H, Oshikawa M
摘要
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 of a general Hamiltonian which consists of only short-range interactions.
详细资料
- 关键词: cond-mat.stat-mech; cond-mat.other; hep-th; math-ph; math.MP; quant-ph
- 文献种类: Manual Script
- 期卷页: 2014年
- 日期: 2014-10-8
- 发布方式: arXiv e-prints
- 备注:arXiv:1410.2143v1; 4 pages + Supplementary Information, 1 figure
学科领域自然科学 » 物理学
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