1College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 7300702Department of Physics, Lanzhou City University, Lanzhou 730070
Nonlinear Landau--Zener Tunnelling with Two and Three-Body Interactions
1College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 7300702Department of Physics, Lanzhou City University, Lanzhou 730070
摘要We investigate the nonlinear Landau--Zener tunnelling of Bose--Einstein condensate (BEC) in an accelerating optical lattice with two- and three-body interactions between the particles. The influence of the three-body interaction on the eigenstates and the transition probability are discussed both analytically and numerically. The analytical eigenstates and the tunnelling probability are obtained, which are verified by numerical methods. It is shown that the eigenstates and the tunnelling probability are modified dramatically by three-body interaction.
Abstract:We investigate the nonlinear Landau--Zener tunnelling of Bose--Einstein condensate (BEC) in an accelerating optical lattice with two- and three-body interactions between the particles. The influence of the three-body interaction on the eigenstates and the transition probability are discussed both analytically and numerically. The analytical eigenstates and the tunnelling probability are obtained, which are verified by numerical methods. It is shown that the eigenstates and the tunnelling probability are modified dramatically by three-body interaction.
[1] Anderson B P and Kasevich M A 1998 Science 2821686 [2] Bronski J C, Carr L D, Deconinck B and Kutz J N 2001 Phys. Rev. Lett. 86 1402 [3] Choi D I and Niu Q 1999 Phys. Rev. Lett. 822022 [4] Morsch O, M"uller J H, Cristiani M, Ciampini D andArimondo E 2001 Phys. Rev. Lett. 87 140402 [5] Wu B and Niu Q 2000 Phys. Rev. A 61 023402 Wu B and Niu Q 2001 Phys. Rev. A 64 061603 [6] Wu B, Diener R B and Niu Q 2002 Phys. Rev. A 65 025601 [7] Liu J et al 2002 Phys. Rev. A 66 023404 [8] Jona L M, Morsch O, Cristiani M, Malossi N, M"uller JH, Couritade E, Anderlini M and Arimondo E 2003 Phys. Rev.Lett. 91 230406 [9] Diakonov D et al 2002 Phys. Rev. A 66 013604 [10] Mueller E J 2002 Phys. Rev. A 66 063603 [11] Fallani L, Sarlo L D, Lye J E, Modugno M, Saer R, Fort Cand Inguscio M 2004 Phys. Rev. Lett. 93 140406 [12] Wu B and Niu Q 2003 New J. Phys. 5 104 [13] Morsch O and Oberthaler M 2006 Rev. Mod. Phys. 78 179 [14] Liu B, Fu L B, Yang S P and Liu J 2007 Phys. Rev. A 75 033601 [15] Wang G F, Ye D F, Fu L B, Chen X Z and Liu J 2006 Phys. Rev. A 74 033414 [16] Zhang A X and Xue J K 2007 Phys. Rev. A 75 013624 Zhang A X and Xue J K 2008 Phys. Lett. A 3721147 [17] Xue J K, Zhang A X and Liu J 2008 Phys. Rev. A 77 013602 [18] Gammal A, Frederico T, Tomio L and Abdullaev F K 2000 Phys. Lett. A 267 305 [19] Abdullaev F K, Gammal A, Tomio L and Frederico T 2001 Phys. Rev. A. 63 043604 [20] Eric B, Hammer H W and Mehen T 2002 Phys. Rev.Lett. 89 040401 [21] Bulgac A 2002 Phys. Rev. Lett. 89 050402 [22] Kohler T 2002 Phys. Rev. Lett. 89 210404 [23] Pieri P and Strinati G C 2002 Phys. Rev. Lett. 91 030401 [24] Akhmediev N, Das M P and Vagov A V 1999 Int. J. Mod.Phys. B 13 625 [25] Niu Q and Raizen M G 1998 Phys. Rev. Lett. 803491.