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arXiv 2304.09565cond-mat.quant-gasquant-ph
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三阱势中 Rydberg dressed 玻色子的量子混沌特征

Signatures of quantum chaos of Rydberg dressed bosons in a triple-well potential

Tianyi Yan, Matthew Collins, Rejish Nath, Weibin Li

AI总结:

该研究分析三阱势中 Rydberg dressed 玻色子的平均场与量子动力学,揭示 Lyapunov 指数、Wigner-Dyson 能级统计、纠缠熵及粒子数方差所标识的量子混沌特征。

摘要:

我们研究了囚禁在一维三阱势中的 Rydberg dressed 玻色原子动力学中的量子混沌特征。通过将原子激光缀饰到强相互作用 Rydberg 态所诱导的长程最近邻与次近邻相互作用,会显著影响平均场和量子多体动力学。通过分析平均场动力学,我们将具有正且较大 Lyapunov 指数的经典混沌区域识别为势阱倾斜和缀饰相互作用的函数。在量子区域中发现,当 Lyapunov 指数较大时,本征能量的能级统计呈现 Wigner-Dyson 分布,从而产生强量子混沌的特征。我们发现,时间平均纠缠熵和初态存活概率在量子混沌区域都具有明显较大的值。我们进一步表明,粒子数方差可用作量子混沌出现的指标。这可能提供一种通过分析各个势阱中的粒子数动力学来直接探测量子混沌动力学的方法。

英文摘要:

We study signatures of quantum chaos in dynamics of Rydberg dressed bosonic atoms held in a one dimensional triple-well potential. Long-range nearest-neighbor and next-nearest-neighbor interactions, induced by laser dressing atoms to strongly interacting Rydberg states, affect drastically mean field and quantum many-body dynamics. By analyzing the mean field dynamics, classical chaos regions with positive and large Lyapunov exponents are identified as a function of the potential well tilting and dressed interactions. In the quantum regime, it is found that level statistics of the eigen-energies gains a Wigner-Dyson distribution when the Lyapunov exponents are large, giving rise to signatures of strong quantum chaos. We find that both the time averaged entanglement entropy and survival probability of the initial state have distinctively large values in the quantum chaos regime. We further show that population variances could be used as an indicator of the emergence of quantum chaos. This might provide a way to directly probe quantum chaotic dynamics through analyzing population dynamics in individual potential wells.

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