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Bogoliubov theory for a disordered Bose-Hubbard Model in weakly interacting regime
WANG Botao 1 #,JIANG Ying 2 *
1.Department of Physics, Shanghai University, Shanghai 200444
2.Department of Physics, Shanghai University, Shanghai 200444;Shanghai Key Laboratory of High Temperature Superconductors, Shanghai 200444
*Correspondence author
#Submitted by
Subject:
Funding: National Natural Science Foundation of China (No.11275119), Ph.D. Programs Foundation of Ministry of Education of China (No.20123108110004), Shanghai Key Laboratory of High Temperature Superconductors (No.14DZ2260700)
Opened online: 6 June 2016
Accepted by: none
Citation: WANG Botao,JIANG Ying.Bogoliubov theory for a disordered Bose-Hubbard Model in weakly interacting regime[OL]. [ 6 June 2016] http://en.paper.edu.cn/en_releasepaper/content/4693083
 
 
We investigate the disorder effect on coherent fraction and the quantum phase transition of ultracold Bose gases trapped in a two-dimensional disordered optical lattice.Within the framework of Bogoliubov theory, an analytical expression for the particle density is derived and the dependence of coherent fraction on disorder strength as well as on lattice depth is discussed. In weak disorder regime, we find a decreased sensitivity of coherent fraction to disorder with the increase of on-site interaction strength. For strong disorder, the quantum phase boundary between superfluid phase and Bose glass phase in the disordered Bose-Hubbard system in weak interaction regime is discussed qualitatively. The obtained phase diagram is in qualitative agreement with the empirical square-root law. The dependence of the corresponding critical value of the disorder strength on optical lattice depth is presented as well, and may serve as a reference object for possible experimental investigation.
Keywords:Condensed matter physics, disordered Bose-Hubbard model, coherent fraction, quantum phase transition
 
 
 

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