The Gross-Pitaevskii Model of Spinor BEC

作者: Dongming Yan , Tian Ma

DOI: 10.1155/2012/757616

关键词:

摘要: The Gross-Pitaevskii model of spinor Bose-Einstein condensates is studied. Using the abstract results obtained for infinite-dimensional Hamilton system, we establish mathematical theory of spinor BEC. Furthermore, three conservative quantities BEC, that is, energy, total particle number, and magnetization intensity, are also proved.

参考文章(22)
Elliott H. Lieb, Robert Seiringer, Proof of Bose-Einstein condensation for dilute trapped gases. Physical Review Letters. ,vol. 88, pp. 170409- ,(2002) , 10.1103/PHYSREVLETT.88.170409
Tin-Lun Ho, Spinor Bose Condensates in Optical Traps Physical Review Letters. ,vol. 81, pp. 742- 745 ,(1998) , 10.1103/PHYSREVLETT.81.742
H Pu, CK Law, NP Bigelow, None, Complex quantum gases: spinor Bose–Einstein condensates of trapped atomic vapors Physica B-condensed Matter. ,vol. 280, pp. 27- 31 ,(2000) , 10.1016/S0921-4526(99)01429-5
R. Carles, Remarks on Nonlinear Schrödinger Equations with Harmonic Potential Annales Henri Poincaré. ,vol. 3, pp. 757- 772 ,(2002) , 10.1007/S00023-002-8635-4
Jian Zhang, Sharp Threshold for Blowup and Global Existence in Nonlinear Schrödinger Equations Under a Harmonic Potential Communications in Partial Differential Equations. ,vol. 30, pp. 1429- 1443 ,(2005) , 10.1080/03605300500299539
Takeshi Mizushima, Kazushige Machida, Takafumi Kita, Continuous vortices and collective excitations in ferromagnetic spinor Bose–Einstein condensates Physica B: Condensed Matter. ,vol. 329-333, pp. 17- 18 ,(2003) , 10.1016/S0921-4526(02)01875-6
Frank Merle, Yoshio Tsutsumi, L2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity Journal of Differential Equations. ,vol. 84, pp. 205- 214 ,(1990) , 10.1016/0022-0396(90)90075-Z
Tetsuo Ohmi, Kazushige Machida, Bose-Einstein Condensation with Internal Degrees of Freedom in Alkali Atom Gases Journal of the Physical Society of Japan. ,vol. 67, pp. 1822- 1825 ,(1998) , 10.1143/JPSJ.67.1822
David M. Lee, The extraordinary phases of liquid 3 He Reviews of Modern Physics. ,vol. 69, pp. 645- 665 ,(1997) , 10.1103/REVMODPHYS.69.645