Stability Diagrams of a Bose-Einstein Condensate in Excited Bloch Bands
LIANG Zhao-Xin1, HU Ban-Bi 1,2
1Department of Physics, Centre for Nonlinear Studies, and The Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex (Hong Kong), Hong Kong Baptist University, Kowloon Tong, Hong Kong2Department of Physics, University of Houston, Houston, Texas 77204-5005, USA
Stability Diagrams of a Bose-Einstein Condensate in Excited Bloch Bands
LIANG Zhao-Xin1, HU Ban-Bi 1,2
1Department of Physics, Centre for Nonlinear Studies, and The Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex (Hong Kong), Hong Kong Baptist University, Kowloon Tong, Hong Kong2Department of Physics, University of Houston, Houston, Texas 77204-5005, USA
摘要Landau and dynamical instabilities of a Bose-Einstein condensate (BEC) in the excited bands of a one-dimensional optical lattice are investigated by the Gross-Pitaevskii theory. Our results show that there always exists Landau instability for a BEC in the whole region of excited bands.We also map out the dangerous zones of the dynamical instability. The experimental implications of the stability diagram are discussed.
Abstract：Landau and dynamical instabilities of a Bose-Einstein condensate (BEC) in the excited bands of a one-dimensional optical lattice are investigated by the Gross-Pitaevskii theory. Our results show that there always exists Landau instability for a BEC in the whole region of excited bands.We also map out the dangerous zones of the dynamical instability. The experimental implications of the stability diagram are discussed.
[1] M\"uller T, F\"olling S, Widera A and Bloch I 2007 Phys. Rev. Lett. 99 200405 [2] Bloch I 2005 Nature Physics 1 23 [3] Bloch I, Dalibard J and Zwerger W 2008 Rev. Mod.Phys. 80 885 [4] Morsch O and Oberthaler M 2006 Rev. Mod. Phys. 78 179 [5] Isacsson A and Girvin S M 2005 Phys. Rev. A 72053604 Kuklov A B 2006 Phys. Rev. Lett. 97 110405 Scarola V M and Das Sarma S 2005 Phys. Rev. Lett. 95 033003 Scarola V M, Demler E and Das Sarma S 2006 Phys. Rev. A 73 051601(R) Wu C, Liu W, Moore J and Das Sarma S 2006 Phys. Rev.Lett. 97 190406 [6] {Tian C L, Liu F S, Cai L C and Jing F Q 2003 Chin.Phys. Lett. 20 706 [7] Wu B and Niu Q 2001 Phys. Rev. A 64 061603(R) Wu B and Niu Q 2003 New J. Phys. 5 104 [8] Liang Z X, Zhang Z D, Dong X and Wu Biao 2008 Phys.Rev. A 78 023622 [9] Burger S et al 2002 Phys. Rev. Lett. 89 088902 Fallani L et al 2004 Phys. Rev. Lett. 93 140406 [10] Machholm M, Pethick C J and Smith H 2003 Phys. Rev.A 67 053613 Kr\"amer M, Menotti C, Pitaevskii L and Stringari S 2003 Eur. Phys. J. D 27 247 Menotti C, Smerzi A and Trombettoni A 2003 New J.Phys. 5 112 Modugno M, Tozzo C and Dalfovo F 2004 Phys. Rev. A 70 043625 [11] Greiner M et al 2002 Nature 415 39 [12] Ashcroft N W and Mermin N D 1976 Solid StatePhysics (Philadelphia: Saunders) [13] Cataliotti F S et al 2001 Science 293 843 [14] Greiner M, Bloch I, Mandel O, Hansch T W and Esslinger T2001 Phys. Rev. Lett. 87 160405
2009, Vol. 26 
