Landau Damping of Collective Modes in a Disc-Shaped Bose--Einstein Condensate
MA Xiao-Dong 1,2, MA Yong-Li3, HUANG Guo-Xiang1
1Department of Physics, East China Normal University, Shanghai 2000622Department of Physics, Xinjiang Normal University, Urumchi 8300543Department of Physics, Fudan University, Shanghai 200433
Landau Damping of Collective Modes in a Disc-Shaped Bose--Einstein Condensate
MA Xiao-Dong 1,2;MA Yong-Li3;HUANG Guo-Xiang1
1Department of Physics, East China Normal University, Shanghai 2000622Department of Physics, Xinjiang Normal University, Urumchi 8300543Department of Physics, Fudan University, Shanghai 200433
摘要We investigate the Landau damping of collective modes in an anisotropic Bose--Einstein condensate (BEC). Based on divergence-free analytical solutions for the ground state wavefunction of the condensate and all eigenvalues and eigenfunctions for thermal excited quasiparticles, we make a detailed analytical calculation on coupling matrix elements. We evaluate the Landau damping of a quadrupole collective mode in the BEC with a disc-shaped trap and discuss its dependence on temperature and particle number of the system.
Abstract：We investigate the Landau damping of collective modes in an anisotropic Bose--Einstein condensate (BEC). Based on divergence-free analytical solutions for the ground state wavefunction of the condensate and all eigenvalues and eigenfunctions for thermal excited quasiparticles, we make a detailed analytical calculation on coupling matrix elements. We evaluate the Landau damping of a quadrupole collective mode in the BEC with a disc-shaped trap and discuss its dependence on temperature and particle number of the system.
MA Xiao-Dong;MA Yong-Li;HUANG Guo-Xiang. Landau Damping of Collective Modes in a Disc-Shaped Bose--Einstein Condensate[J]. 中国物理快报, 2007, 24(3): 616-619.
MA Xiao-Dong, MA Yong-Li, HUANG Guo-Xiang. Landau Damping of Collective Modes in a Disc-Shaped Bose--Einstein Condensate. Chin. Phys. Lett., 2007, 24(3): 616-619.
[1]Jin D S et al 1996 Phys. Rev. Lett. 77 420 [2]Jin D S et al 1997 Phys. Rev. Lett. 78 764 [3]Stamper-Kurn D M 1998 Phys. Rev. Lett. 81 500 [4]Chevy F et al 2002 Phys. Rev. Lett. 88 250402 [5]Mewes M O et al 1996 Phys. Rev. Lett. 77 988 [6] Onofrio R et al 2000 Phys. Rev. Lett. 84 810 [7]Marag\`o O et al 2001 Phys. Rev. Lett. 86 3938 [8]Pitaevskii L P and Stringari S 1997 Phys. Lett. A 235 10 [9]Giorgini S 1998 Phys. Rev. A 57 2949 [10] Jackson B and E Zaremba 2002 Phys. Rev. Lett. 89150402 [11] Guileumas M and Pitaevskii L P 2000 Phys. Rev. A 61 013602 [12] Guileumas M and Pitaevskii L P 2003 Phys. Rev. A 67 053607 [13] Tsuchiya S and Griffin A 2005 Phys. Rev. A 72 053621 [14] Liu S J et al 2005 Chin. Phys. Lett. 22 533 [15] Hechenblaikner G et al 2002 Phys. Rev. A 65 033612 [16] Ma X D et al 2006 Chin. Phys. 15 1871 [17] Hu B et al 2004 Phys. Rev. A 69 063608 [18] Ma Y L et al 2005 Phys. Rev. A 71 062504
2007, Vol. 24 
