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arXiv 1108.2672cond-mat.quant-gas
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非阿贝尔合成规范场作用下超冷玻色子的量子相变

Quantum phase transition of ultracold bosons in the presence of a non-Abelian synthetic gauge field

T. Grass, K. Saha, K. Sengupta, M. Lewenstein

摘要:

本文研究了正方形光晶格上二分量超冷玻色子在非阿贝尔合成规范场作用下的Mott相和超流-绝缘体相变,该规范场给出了玻色子的SU(2)跃迁矩阵.利用一种简化的跳跃展开,我们计算了Mott绝缘相的激发谱,并证明了超流-绝缘相边界对规范场强度的非单调依赖性.我们还计算了玻色子的动量分布的存在下的非阿贝尔领域,并表明,他们开发的峰值在非零动量的超流绝缘体过渡点接近从莫特侧。最后,我们研究了相变附近的超流相,并讨论了由于非阿贝尔规范势的存在而引起的超流密度的空间分布。

英文摘要:

We study the Mott phases and the superfluid-insulator transition of two-component ultracold bosons on a square optical lattice in the presence of a non-Abelian synthetic gauge field, which renders a SU(2) hopping matrix for the bosons. Using a resummed hopping expansion, we calculate the excitation spectra in the Mott insulating phases and demonstrate that the superfluid-insulator phase boundary displays a non-monotonic dependence on the gauge field strength. We also compute the momentum distribution of the bosons in the presence of the non-Abelian field and show that they develop peaks at non-zero momenta as the superfluid-insulator transition point is approached from the Mott side. Finally, we study the superfluid phases near the transition and discuss the induced spatial pattern of the superfluid density due to the presence of the non-Abelian gauge potential.

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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