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arXiv 2311.04597cond-mat.quant-gas
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基于量子蒙特卡洛的镝偶极系统密度泛函

A quantum Monte Carlo based density functional for Dysprosium dipolar system

Raúl Bombín, Viktor Cikojević, Ferran Mazzanti, Jordi Boronat

AI总结:

提出基于量子蒙特卡洛的密度泛函,替代eGPE中的Lee-Huang-Yang项,精确描述镝偶极系统的液滴形成与超固态转变,且易于集成、不增计算成本。

摘要:

我们提出了一种基于量子蒙特卡洛的密度泛函,用于描述偶极系统中的液滴形成和超固态。在传统的扩展Gross-Pitaevskii方程(eGPE)中,通常用于解释量子关联的Lee-Huang-Yang项,已被通过量子蒙特卡洛方法评估的关联能所替代。我们证明了新泛函能够再现液滴形成所需的最小临界原子数$N_\mathrm{c}$的现有实验数据。$N_\mathrm{c}$是理论预测中具有挑战性的量,而eGPE仅能提供对其的定性描述,尤其是当应用于镝时。我们还使用新方法表征了BEC-超固体的转变。基于量子蒙特卡洛的泛函可以轻松地集成到任何现有的eGPE代码中,在不增加计算成本的情况下改进对偶极系统的描述。

英文摘要:

We present a quantum Monte Carlo based density functional to describe droplet formation and supersolidity in dipolar systems. The usual Lee-Huang-Yang term, accounting for quantum correlations in the conventional extended Gross-Pitaievskii equation (eGPE), has been substituted by the correlation energy evaluated with Quantum Monte Carlo. We demonstrate the ability of the new functional to reproduce existing experimental data for the minimum critical number of atoms $N_\mathrm{c}$ required for droplet formation. $N_\mathrm{c}$ is a challenging quantity for theoretical predictions, and the eGPE provides only a qualitative description of it, mainly when it is applied to Dysprosium. We also use the new approach to characterize the BEC-supersolid transition. The quantum Monte Carlo based functional can be easily implemented in any existing eGPE code, improving the description of dipolar systems without increasing the computational cost.

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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