arXiv 2602.131292026-02-13cond-mat.quant-gas

由自旋依赖周期势诱导的双原子混合物中涌现的非周期性

Emergent aperiodicity in Bose-Bose mixtures induced by spin-dependent periodic potentials

First Affiliated Hospital of Xi’an Jiaotong University（西安交通大学第一附属医院）；School of Physics, Xi’an Jiaotong University（西安交通大学物理学院）；University of Electro-Communications（电气通信大学）

Abid Ali, Pei Zhang, Hiroki Saito, Yong-Chang Zhang

备注：: 10 pages, 8 figures
DOI：: 10.1103/zt4j-57hp

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AI总结：

研究双原子玻色-爱因斯坦凝聚体在扭曲自旋依赖周期光晶格中的基态和低能亚稳态相，发现强相互作用导致八重对称模式，揭示非周期序的形成机制。

摘要：

我们研究了在扭曲的、自旋依赖的周期性光晶格中约束的排斥性二元玻色-爱因斯坦凝聚体的基态和低能亚稳态相。对于平衡混合物，弱的组间相互作用产生由晶格几何决定的四重动量空间对称性。增加耦合强度导致额外的动量峰出现，与晶格诱导结构结合产生八重旋转对称模式，信号非晶有序。在中间相互作用下，全局相分离抑制这种非晶态；然而在更强耦合下，局部相分离产生长寿命亚稳态，八重对称性得以恢复。在此条件下，出现次要环状主导动量峰，表明更长波长的密度调制以及从晶格主导到相互作用主导的非晶有序过渡。相比之下，不平衡混合物在中间耦合下形成部分混溶的密度簇，仅出现八重对称非周期性模式，而更强相互作用驱动全局相分离并永久破坏非晶有序。实时模拟显示这些非周期性结构动态稳定且实验可及。我们的结果表明，二元凝聚体可在无显式非周期晶格的情况下出现非晶有序，并揭示人口平衡是稳定量子非晶的关键要素。

英文摘要：

We study the ground-state and low-lying metastable phases of repulsive binary Bose-Einstein condensates confined in twisted, spin-dependent periodic optical lattices. For balanced mixtures, weak intercomponent interactions yield a fourfold momentum-space symmetry dictated by the lattice geometry. Increasing the coupling strength leads to the emergence of additional momentum peaks that combine with the lattice-induced structure to produce an eightfold rotationally symmetric pattern, signaling quasicrystalline order. At intermediate interactions, global phase separation suppresses this quasicrystalline state; however, at stronger coupling, local phase separation gives rise to a long-lived metastable phase in which the eightfold symmetry is restored. In this regime, a secondary ring of dominant momentum peaks appears at smaller wave vectors, indicating longer-wavelength density modulations and a crossover from lattice-dominated to interaction-driven quasicrystalline order. In contrast, imbalanced mixtures form partially miscible density clusters with eightfold-symmetric aperiodic patterns only at intermediate coupling, while stronger interactions drive global phase separation and permanently destroy quasicrystalline order. Real-time simulations demonstrate that these aperiodic structures are dynamically stable and experimentally accessible. Our results show that quasicrystalline order can emerge in binary condensates without explicitly aperiodic lattices and reveal population balance as a key ingredient for stabilizing quantum quasicrystals.

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