一维量子准晶体中长程和准长程空间序的共存
Coexistence of long- and quasi-long range spatial order in 1D quantum quasicrystals
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中文总结 AI 辅助
研究一维量子准晶体中长程和准长程空间序的共存问题，利用超冷玻色原子在光腔中实现一种独特机制，使一个戈德斯通模式有能隙，另一个无隙，导致不同波矢处分别出现长程序和准长程序。
中文摘要 AI 辅助
准晶体表现出无周期性的长程位置序，源于多个不相容波矢。在自组装准晶体中，平移不变性的自发破缺产生了与两个竞争波矢相关的两个戈德斯通模式——声子和相位子。本文展示了准晶体独有的一种情况：一种仅使一个戈德斯通模式（与一个波矢相关）有能隙，而另一个保持无隙的机制。在一维中，由于持续的涨落，这导致在有能隙波矢处存在长程序，在无隙波矢处存在准长程序。我们表明这种现象可用光腔中的超冷玻色原子来实现。
英文摘要
Quasicrystals exhibit long-range positional order without periodicity, arising from multiple incommensurate wave vectors. In self-assembled quasicrystals, the spontaneous breaking of translational invariance gives rise to two Goldstone modes-phonons and phasons-associated with two competing wave vectors. Here, we demonstrate a unique scenario exclusive to quasicrystals: a mechanism that gaps out only one Goldstone mode (associated with one wave vector), while the other remains gapless. In one dimension, this leads to the coexistence of long-range order at the gapped wave vector and quasi-long-range order at the gapless one, due to sustained fluctuations. We show that this phenomenon can be realized using ultracold bosonic atoms in optical cavities.
