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arXiv 1105.6141cond-mat.quant-gas
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二维光晶格中自旋1/2玻色子的基态phase diagram

Ground state phase diagram of spin-1/2 bosons in a two-dimensional optical lattice

L. de Forges de Parny, F. Hébert, V. G. Rousseau, R. T. Scalettar, G. G. Batrouni

摘要:

利用量子蒙特卡罗模拟研究了二维正方晶格上的两种群玻色哈伯德模型.除了粒子之间通常的接触排斥相互作用外,哈密顿量还有一个相互转换项,它允许两个粒子从一个种类转变为另一个种类。这些相的特征在于它们的固体或超流体性质以及它们的极化,即粒子数的差异。当种间相互作用小于种内相互作用时,系统是非极化的,而当种间相互作用小于种内相互作用时,系统在偶莫特绝缘体波瓣中是非极化的,在奇莫特波瓣中是极化的,并且处于超流相.我们表明,在后一种情况下,总密度为2的莫特绝缘体和超流体之间的过渡可以是二阶或一阶的相互作用的相对值,而在所有其他情况下的过渡是连续的。

英文摘要:

We study a two-species bosonic Hubbard model on a two-dimensional square lattice by means of quantum Monte Carlo simulations. In addition to the usual contact repulsive interactions between the particles, the Hamiltonian has an interconversion term which allows the transformation of two particles from one species to the other. The phases are characterized by their solid or superfluid properties and by their polarization, i.e. the difference in the populations. When inter-species interactions are smaller than the intra-species ones, the system is unpolarized, whereas in the opposite case the system is unpolarized in even Mott insulator lobes and polarized in odd Mott lobes and also in the superfluid phase. We show that in the latter case the transition between the Mott insulator of total density two and the superfluid can be either of second or first order depending on the relative values of the interactions, whereas the transitions are continuous in all other cases.

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