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arXiv 1004.5129cond-mat.quant-gasquant-ph
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一维光晶格中的玻色-费米固体及其量子熔化

Bose-Fermi solid and its quantum melting in an one-dimensional optical lattice

Bin Wang, Daw-Wei Wang, S. Das Sarma

摘要:

在热力学极限下,研究了一维光晶格中超冷偶极粒子玻色-费米混合体系的量子相图。在最近邻(N.N.)通过相互作用,在弱的位间隧穿($J$)极限下,在玻色子的莫特绝缘体和费米子的能带绝缘体之间发现了一种长程有序的晶相(玻色-费米固体)。当$J$增加时,这种玻色-费米固体可以通过两阶段或三阶段转变量子熔化成玻色-费米液体,这取决于结晶顺序是否由N. N.费米子或玻色子之间的相互作用。这些性质可以理解为赝自旋阻挫和赝自旋-电荷分离之间的量子竞争,与固-液相变的经典图像有质的不同。

英文摘要:

We investigate the quantum phase diagram of Bose-Fermi mixtures of ultracold dipolar particles trapped in one-dimensional optical lattices in the thermodynamic limit. With the presence of nearest-neighbor (N.N.) interactions, a long-ranged ordered crystalline phase (Bose-Fermi solid) is found stabilized between a Mott insulator of bosons and a band-insulator of fermions in the limit of weak inter-site tunneling ($J$). When $J$ is increased, such a Bose-Fermi solid can be quantum melted into a Bose-Fermi liquid through either a two-stage or a three-stage transition, depending on whether the crystalline order is dominated by the N.N. interaction between fermions or bosons. These properties can be understood as quantum competition between a pseudo-spin frustration and a pseudo-spin-charge separation, qualitatively different from the classical picture of solid-liquid phase transition.

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