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arXiv 1708.07550cond-mat.quant-gas
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二分正方晶格中手征超流体的临界行为

Critical behavior of a chiral superfluid in a bipartite square lattice

Junichi Okamoto, Wen-Min Huang, Robert Höppner, Ludwig Mathey

摘要:

在单圈级的重整化群框架下,研究了二分光学正方晶格第二能带中的玻色-爱因斯坦凝聚的临界行为。在我们的场理论表示的系统中,我们近似的系统作为一个两个组件的玻色气体在三维空间。我们证明,该系统是在一个不同的普适性类比以前研究的凝聚在一个挫折的三角形晶格由于一个额外的Umklapp散射项,稳定的手征超流秩序在低温下。我们导出了系统的重整化群流,并证明了这种有序性在低能极限下仍然存在。此外,重整化流表明,从热相到手征超流态的相变是一级的。

英文摘要:

We study the critical behavior of Bose-Einstein condensation in the second band of a bipartite optical square lattice in a renormalization group framework at one-loop order. Within our field theoretical representation of the system, we approximate the system as a two-component Bose gas in three dimensions. We demonstrate that the system is in a different universality class than the previously studied condensation in a frustrated triangular lattice due to an additional Umklapp scattering term, which stabilizes the chiral superfluid order at low temperatures. We derive the renormalization group flow of the system and show that this order persists in the low energy limit. Furthermore, the renormalization flow suggests that the phase transition from the thermal phase to the chiral superfluid state is first order.

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