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arXiv 1004.5035cond-mat.quant-gas
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具有幂律相互作用的一维量子液体:极性分子的Luttinger阶梯

1D Quantum Liquids with Power-Law Interactions: a Luttinger Staircase with Polar Molecules

M. Dalmonte, G. Pupillo, P. Zoller

摘要:

在Tomonaga-Luttinger液体(LL)理论框架下,研究了具有排斥幂律相互作用$1/|x|^β$和$β>1$的一维费米子和玻色气体.对于任意的$β$和相互作用强度,我们得到了一个精确的解析表达式,将LL参数与微观哈密顿量联系起来。在存在小的周期性势时,幂律相互作用使得LL不稳定,朝向形成具有分数填充的晶格固体的级联,从而形成“Luttinger阶梯”。这些量子相位和相变实现与基态极性分子和弱束缚磁性Feshbach分子。

英文摘要:

We study one dimensional fermionic and bosonic gases with repulsive power-law interactions $1/|x|^β$, with $β>1$, in the framework of Tomonaga-Luttinger liquid (LL) theory. We obtain an accurate analytical expression linking the LL parameter to the microscopic Hamiltonian, for arbitrary $β$ and strength of the interactions. In the presence of a small periodic potential, power-law interactions make the LL unstable towards the formation of a cascade of lattice solids with fractional filling, thus forming a "Luttinger staircase". Several of these quantum phases and phase transitions are realized with groundstate polar molecules and weakly-bound magnetic Feshbach molecules.

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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