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arXiv 1011.5002cond-mat.quant-gasquant-ph
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含少量原子的三格点玻色-费米环的基态性质

Ground state properties of a three-site Bose-Fermi ring with a small number of atoms

Santiago F. Caballero-Benitez, Elena A. Ostrovskaya

摘要:

我们研究了一个含有少量量子简并玻色子和费米子的三格点环系统。通过对玻色-费米-哈伯德哈密顿量的精确对角化,我们证明了系统的基态组态的对称性是玻色-玻色相互作用和种间相互作用的函数。通过计算精确的两体空间相关性构建的系统的相图,揭示了即使在强玻色子隧穿极限和玻色子的无公度填充中也存在的非平凡绝缘相。这些绝缘相是由于在系统中的物种间的相互作用,并不一定伴随着粒子数波动的抑制。

英文摘要:

We investigate a three-site ring system with a small number of quantum degenerate bosons and fermions. By means of the exact diagonalization of the Bose-Fermi-Hubbard Hamiltonian, we show that the symmetry of the ground state configuration is a function of both the boson-boson and the inter-species interaction in the system. The phase diagram of the system, constructed by computing the exact two-body spatial correlations, reveals nontrivial insulating phases that exist even in the strong bosonic tunneling limit and for incommensurate filling of bosons. These insulating phases are due to the inter-species interactions in the system and are not necessarily accompanied by the suppression of the particle number fluctuations.

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