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arXiv 2311.08014cond-mat.quant-gascond-mat.str-el
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使用SU($\mathcal{N}$)对称冷原子混合物构建用于强关联电子的低熵量子模拟器

Engineering of a Low-Entropy Quantum Simulator for Strongly Correlated Electrons Using SU($\mathcal{N}$)-Symmetric Cold Atom Mixtures

Daisuke Yamamoto, Katsuhiro Morita

AI总结:

本研究提出一种利用SU($\mathcal{N}$)对称费米气体和态选择性激光的熵工程冷却方法,在二维光学晶格中构建低熵量子模拟器,为模拟强关联电子系统的低温现象奠定基础。

摘要:

包含熵工程的高级冷却方案对于旨在模拟强关联电子系统(SCESs)低温物理的孤立人工量子系统至关重要。本研究在理论上证明了一种采用具有SU($\mathcal{N}$)对称相互作用的多组分费米气体的冷却方法,重点关注二维光学晶格中的$^{173}$Yb原子情况。绝热地引入非均匀态选择性激光会产生两个不同的子系统:一个仅由两个特定自旋组分组成的中心低温区域,作为SCESs的量子模拟器,而周围的$\mathcal{N}$组分混合物保留了系统的大部分熵。SU($\mathcal{N}$)对称相互作用确保了每个组分的总粒子数成为好量子数,为双组分区域创建了清晰的边界。通过广泛的有限温度Lanczos计算评估了冷却效率。这些结果为Hubbard或Heisenberg型的二维系统量子模拟奠定了基础,为凝聚态物理中引人入胜的低温现象提供了重要见解。

英文摘要:

An advanced cooling scheme, incorporating entropy engineering, is vital for isolated artificial quantum systems designed to emulate the low-temperature physics of strongly correlated electron systems (SCESs). This study theoretically demonstrates a cooling method employing multi-component Fermi gases with SU($\mathcal{N}$)-symmetric interactions, focusing on the case of $^{173}$Yb atoms in a two-dimensional optical lattice. Adiabatically introducing a nonuniform state-selective laser gives rise to two distinct subsystems: a central low-temperature region, exclusively composed of two specific spin components, acts as a quantum simulator for SCESs, while the surrounding $\mathcal{N}$-component mixture retains a significant portion of the entropy of the system. The SU($\mathcal{N}$)-symmetric interactions ensure that the total particle numbers for each component become good quantum numbers, creating a sharp boundary for the two-component region. The cooling efficiency is assessed through extensive finite-temperature Lanczos calculations. The results lay the foundation for quantum simulations of two-dimensional systems of Hubbard or Heisenberg type, offering crucial insights into intriguing low-temperature phenomena in condensed-matter physics.

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