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arXiv 2502.04429cond-mat.quant-gascond-mat.dis-nncond-mat.str-elquant-ph
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准周期势中偶极玻色子的稳定性

Stability of dipolar bosons in a quasiperiodic potential

Paolo Molignini, Barnali Chakrabarti

AI总结:

本研究通过精确数值模拟探讨一维偶极玻色子在准周期晶格中的行为,揭示了超流体、Mott绝缘体等相的复杂竞争,发现偶极晶体在强无序下的鲁棒性,并挑战了动力学晶体相在基态存在的预期。

摘要:

准周期势和偶极相互作用各自在量子系统中施加长程序,但它们的相互作用开启了一片未被探索的量子相的丰富图景。在这项工作中,我们研究了偶极玻色子晶体如何响应以准周期势形式存在的相关无序。利用精确数值模拟和一系列可观测量——包括序参量、能量、密度分布和两体相干性测量——我们探索了在共充和非共充下准周期晶格中的一维偶极玻色子。我们的结果揭示了超流体、Mott绝缘体、密度波和晶体相之间的复杂竞争,这种竞争由偶极相互作用、动能和无序强度的微妙平衡所主导。关键的是,我们确定了影响偶极晶体的机制,表明即使存在强准周期无序,它们仍具有惊人的鲁棒性。引人注目的是,我们通过证明预期在完全结晶化之前出现的动力学晶体相并未在基态中出现,从而挑战了先前的主张。相反,其特征仅在中等无序下出现,但从未完全发展,而是让位于从电荷密度波到晶体态的直接转变。这些发现为复杂环境中多体量子相的韧性提供了新见解,并为在超冷原子系统中工程化奇异量子态铺平了道路。

英文摘要:

Quasiperiodic potentials and dipolar interactions each impose long-range order in quantum systems, but their interplay unlocks a rich landscape of unexplored quantum phases. In this work, we investigate how dipolar bosonic crystals respond to correlated disorder in the form of quasiperiodic potentials. Using exact numerical simulations and a suite of observables - including order parameters, energy, density distributions, and two-body coherence measures - we explore one-dimensional dipolar bosons in quasiperiodic lattices at both commensurate and incommensurate fillings. Our results reveal a complex competition between superfluid, Mott insulator, density-wave, and crystalline phases, governed by the intricate balance of dipolar interactions, kinetic energy, and disorder strength. Crucially, we identify mechanisms that influence dipolar crystals, showing their surprising robustness even in the presence of strong quasiperiodic disorder. Strikingly, we challenge previous claims by demonstrating that a kinetic crystal phase - expected to precede full crystallization - does not emerge in the ground state. Instead, its traits appear only under moderate disorder, but never fully develop, giving way to a direct transition from a charge density wave to a crystal state. These findings provide new insights into the resilience of many-body quantum phases in complex environments and pave the way for engineering exotic quantum states in ultracold atomic systems.

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