Bose-哈伯德模型中的多体Landau-Zener隧穿
Many-body Landau-Zener tunneling in the Bose-Hubbard model
摘要:
研究了准一维光晶格中超冷无自旋原子在可调倾斜力作用下的模型。采用统计检验定量地描述了系统的Floquet-Bloch算子谱从规则态到量子混沌态的过渡过程。此外,我们微扰包括耦合的一个带模型的第二个能带。这使我们能够在真正的多体描述下研究超冷原子的朗道-齐纳带间隧穿。计算出的隧道速率的分布提供了一个独立的和实验上可访问的签名的规则混沌过渡。
英文摘要:
We study a model for ultracold, spinless atoms in quasi-one dimensional optical lattices and subjected to a tunable tilting force. Statistical tests are employed to quantitatively characterize the spectrum of the Floquet-Bloch operator of the system along the transition from the regular to the quantum chaotic regime. Moreover, we perturbatively include the coupling of the one-band model to the second energy band. This allows us to study the Landau-Zener interband tunneling within a truly many-body description of ultracold atoms. The distributions of the computed tunneling rates provide an independent and experimentally accessible signature of the regular-chaotic transition.
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