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arXiv 2406.02130cond-mat.quant-gasquant-ph
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环中双组分超冷原子的自旋轨道与超精细模拟

Spin Orbit and Hyperfine Simulations with Two-Species Ultracold Atoms in a Ring

Allison Brattley, Tomáš Opatrný, Kunal K. Das

AI总结:

本文用集体自旋模型描述环形阱中两组分超冷原子,将哈密顿量分解为可独立控制的线性和二次部分,分别类比Zeeman效应和模拟自旋轨道与超精细相互作用,导出了能谱和态密度解析式,并确定了产生最大纠缠的条件以应用于量子信息。

摘要:

使用集体自旋模型描述了限制在环形阱中相互作用的两组分超冷玻色原子。该系统由可分解为线性部分和二次部分的哈密顿量建模,这两部分可独立控制。我们证明线性部分是Zeeman哈密顿量的类比,二次部分提供了自旋轨道和超精细相互作用的宏观模拟器。我们确定了线性和二次哈密顿量的完整对易可观测量集合,并导出了它们各自能谱和态密度的解析表达式。我们确定了在两组分原子间产生最大纠缠的条件,以期应用于涉及自旋自由度量子关联的领域,如量子信息领域。

英文摘要:

A collective spin model is used to describe two species of mutually interacting ultracold bosonic atoms confined to a toroidal trap. The system is modeled by a Hamiltonian that can be split into two components, a linear part and a quadratic part, which may be controlled independently. We show the linear component is an analog of a Zeeman Hamiltonian, and the quadratic component presents a macroscopic simulator for spin-orbit and hyperfine interactions. We determine a complete set of commuting observables for both the linear and quadratic Hamiltonians, and derive analytical expressions for their respective spectra and density of states. We determine the conditions for generating maximal entanglement between the two species of atoms with a view to applications involving quantum correlations among spin degrees of freedom, such as in the area of quantum information.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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