Particle-hole bound states of dipolar molecules in an optical lattice

doi:10.1088/1674-1056/22/9/090501

Abstract We investigate the particle-hole pair excitations of dipolar molecules in an optical lattice, which can be described with an extended Bose-Hubbard model. For strong enough dipole-dipole interaction, the particle-hole pair excitations can form bound states in one and two dimensions. With decreasing dipole-dipole interaction, the energies of the bound states increase and merge into the particle-hole continuous spectrum gradually. The existence regions, the energy spectra and the wave functions of the bound states are carefully studied and the symmetries of the bound states are analyzed with group theory. For a given dipole-dipole interaction, the number of bound states varies in momentum space and a number distribution of the bound states is illustrated. We also discuss how to observe these bound states in future experiments.

Keywords: particle-hole exications bound states dipolar molecules

Received: 15 March 2013
Revised: 15 April 2013
Accepted manuscript online:

PACS:	05.30.Jp	(Boson systems)
	03.75.Hh	(Static properties of condensates; thermodynamical, statistical, and structural properties)
	03.65.Ge	(Solutions of wave equations: bound states)

Fund: Project supported by the National Basic Research Program of China (Grant Nos. 2011CB921502), the National Natural Science Foundation of China (Grant No. 10934010), and the Joint Research Projects of the National Natural Science Foundation of China and Hong Kong Research Grant Council (Grant Nos. 11061160490 and N-HKU748/10).

Corresponding Authors: Zhang Yi-Cai
E-mail: zhangyicai123456@163.com

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Zhang Yi-Cai (张义财), Wang Han-Ting (汪汉廷), Shen Shun-Qing (沈顺清), Liu Wu-Ming (刘伍明) Particle-hole bound states of dipolar molecules in an optical lattice 2013 Chin. Phys. B 22 090501

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