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arXiv 2202.08540cond-mat.quant-gascond-mat.str-elquant-ph
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冷分子或里德伯原子合成晶格中的量子膜相

Quantum Membrane Phases in Synthetic Lattices of Cold Molecules or Rydberg Atoms

Chunhan Feng, Hannah Manetsch, Valery G. Rousseau, Kaden R. A. Hazzard, Richard Scalettar

摘要:

我们计算偶极相互作用的超冷分子或里德伯原子的性质在一个半合成的三维配置-一个合成的维度加上一个二维的实空间光晶格或周期性的微陷阱阵列-使用随机格林函数量子蒙特卡罗方法。通过计算热力学量和适当的关联函数,以及它们的有限尺寸标度,我们表明,有一个二级过渡到一个低温相,其中二维“片”形式的分子或里德伯原子的内部旋转或电子态的合成维,分别。模拟不同值的相互作用$V$,这是在真实和合成空间中相邻的原子或分子之间的行为,使我们能够计算相图。我们发现在足够大的$V$有限温度过渡,以及量子相变-一个临界值$V_c$以下的过渡温度为零。

英文摘要:

We calculate properties of dipolar interacting ultracold molecules or Rydberg atoms in a semi-synthetic three-dimensional configuration -- one synthetic dimension plus a two-dimensional real space optical lattice or periodic microtrap array -- using the stochastic Green function Quantum Monte Carlo method. Through a calculation of thermodynamic quantities and appropriate correlation functions, along with their finite size scalings, we show that there is a second order transition to a low temperature phase in which two-dimensional `sheets' form in the synthetic dimension of internal rotational or electronic states of the molecules or Rydberg atoms, respectively. Simulations for different values of the interaction $V$, which acts between atoms or molecules that are adjacent both in real and synthetic space, allow us to compute a phase diagram. We find a finite-temperature transition at sufficiently large $V$, as well as a quantum phase transition -- a critical value $V_c$ below which the transition temperature vanishes.

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