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

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

中国物理B ›› 2013, Vol. 22 ›› Issue (9): 90501-090501.doi: 10.1088/1674-1056/22/9/090501

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

张义财^a, 汪汉廷^a, 沈顺清^b, 刘伍明^a

a Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
b Department of Physics and Centre of Theoretical and Computational Physics, The University of Hong Kong, Hong Kong, China

收稿日期:2013-03-15 修回日期:2013-04-15 出版日期:2013-07-26 发布日期:2013-07-26
基金资助:
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).

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

Zhang Yi-Cai (张义财)^a, Wang Han-Ting (汪汉廷)^a, Shen Shun-Qing (沈顺清)^b, Liu Wu-Ming (刘伍明)^a

a Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
b Department of Physics and Centre of Theoretical and Computational Physics, The University of Hong Kong, Hong Kong, China

Received:2013-03-15 Revised:2013-04-15 Online:2013-07-26 Published:2013-07-26
Contact: Zhang Yi-Cai E-mail:zhangyicai123456@163.com
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: particle-hole exications, bound states, dipolar molecules

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.

Key words: particle-hole exications, bound states, dipolar molecules

中图分类号: (Boson systems)

05.30.Jp

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

张义财, 汪汉廷, 沈顺清, 刘伍明. Particle-hole bound states of dipolar molecules in an optical lattice[J]. 中国物理B, 2013, 22(9): 90501-090501.

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[J]. Chin. Phys. B, 2013, 22(9): 90501-090501.

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

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

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