摘要We develop a five-well model for describing the tunnelling dynamics of Bose--Einstein condensates (BECs) trapped in 2D optical lattices. The tunnelling dynamics of BECs in this five-well model are investigated both analytically and numerically. We focus on the self-trapped states and the difference of the tunnelling dynamics among two-well, three-well and five-well systems. The criterions for the self-trapped states and the phase diagrams of the five trapped BECs in zero-phase mode and π-phase mode are obtained. We find that the criterions and the phase diagrams are largely modified by the dimension of the system and the phase difference between wells. The five-well model is a good model and can give us an insight into the tunnelling dynamics of BECs trapped in 2D optical lattices.
Abstract：We develop a five-well model for describing the tunnelling dynamics of Bose--Einstein condensates (BECs) trapped in 2D optical lattices. The tunnelling dynamics of BECs in this five-well model are investigated both analytically and numerically. We focus on the self-trapped states and the difference of the tunnelling dynamics among two-well, three-well and five-well systems. The criterions for the self-trapped states and the phase diagrams of the five trapped BECs in zero-phase mode and π-phase mode are obtained. We find that the criterions and the phase diagrams are largely modified by the dimension of the system and the phase difference between wells. The five-well model is a good model and can give us an insight into the tunnelling dynamics of BECs trapped in 2D optical lattices.
[1] Trombettoni A et al 2001 Phys. Rev. Lett. 862353 Menotti C et al 2003 New J. Phys. 5 112 Smerzi A and Trombettoni A 2003 Phys. Rev. A 68023613 [2] Henning D and Tsironis G P 1999 Phys. Rep. 307333 [3] Rasmussen K O et al 2000 Phys. Rev. Lett. 843740 [4] Gammal A et al 2000 Phys. Lett. A 267 305 [5] Krvrekidis P G et al 2000 Phys. Rev. E 61 2652 [6]Liu W M et al, 2002 Phys. Rev. Lett. 88 170408 [7] Wang B B et al 2006 Phys. Rev. A 74 063610 [8] Liu B et al 2007 Phys. Rev. A 75 033601 [9] Smerzi A et al 1997 Phys. Rev. Lett. 79 25 [10] Raghavan S et al 1999 Phys. Rev. A 59 620 [11] Zhang S and Wang F 2001 Phys. Lett. A 279 231 [12] Wu Y and Yang X X 2003 Phys. Rev. A 68013608 [13] Wu Y and Cote R 2002 Phys. Rev. A 65 053603 [14] Wang G F et al 2006 Phys. Rev. A 74 033414 [15] Xue J K et al 2008 Phys. Rev. A 77 013602 Zhang A X and Xue J K 2007 Phys. Rev. A 75 013624 [16 Zhou X J et al 2003 Commun. Theor. Phys. 39412 De Liberato S et al 2006 Phys. Rev. A 73035602
2008, Vol. 25 
