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利用线性稳定分析的方法, 在不满足原子流相等的条件下, 对光晶格中双组分玻色-爱因斯坦凝聚原子(BEC)系统 的调制不稳定性区域与不同BEC组分的波长和不同的调制波长, 以及两组分BEC间相互作用大小之间的关系进行了研究. 结果显示, 光晶格中双组分BEC系统的调制稳定性的区域在不满足原子流相等的条件下, 随不同的波长, 不同的调制和相互作用之间的大小会出现了较大的变化. 相应结果可为实际应用中如何操控双组分BEC提供有用的信息.
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关键词:
- 玻色-爱因斯坦凝聚体 /
- 调制不稳定性 /
- 光晶格 /
- 双分量
Based on the linear stability analysis, the modulational instablilities (MIs) of two-component Bose-Einstein condensations (BECs) in the optical lattices are studied, especially the relation of MI with the different component and modulational wavevectors, and with the inter- and intra- interaction when the condition of atom current conversation is not satisfied. The results show that when the condition of atom current is not satisfied, the new MI areas of two-component BEC in the optical lattice with the component wavevectors, modulational wavevectors and the interaction between components can arise. The above results can gives us some useful information about manipulating two-component BECs in practice.[1] Cross M C, Hohenberg P C 1993 Rev. Mod. Phys. 65 851
[2] Agrawal G P 1995 Nonlinear Fiber Optics 2nd ed. (Academic, San Diego)
[3] Salasnich L, Parola A, Reatto L 2003 Phys. Rev. Lett. 91 080405
[4] Liang Z X, Zhang Z D, Liu W M 2005 Phys. Rev. Lett. 94 050402
[5] Ji A C, Liu W M, Song J L, Zhou F 2008 Phys. Rev. Lett. 101 010402
[6] Qi R, Yu X L, Li Z B, Liu W M 2009 Phys. Rev. Lett. 102 185301
[7] Konotop V V, Salerno M 2002 Phys. Rev. A 65 021602(R)
[8] Smerzi A, Trombettoni A, Kevrekidis P G, Bishop A R 2002 Phys. Rev. Lett. 89 170402
[9] Modugno M, Tozzo C, Dalfovo F 2004 Phys. Rev. A 70 043625
[10] Wu B, Niu Q 2003 New J. Phys. 5104
[11] Zheng Y, Kostrun M, Javanainen J 2004 Phys. Rev. Lett. 93 230401
[12] Cataliotti F S, Fallani L, Ferlaino F, Fort C, Maddaloni P, Inguscio M 2003 New J. Phys. 5 71
[13] Ruostekoski J, Anglin J R 2001Phys. Rev. Lett. 86 3934
[14] Vogels J M, Freeland R S, Tsai C C, Verhaar B J, Heinzen D J 2000 Phys. Rev. A 61 043407
[15] Modugno G, Modugno M, Riboli F, Roati G, Inguscio M 2002 Phys. Rev. Lett. 89 190404
[16] Hall D S, Matthews M R, Ensher J R, Wieman C E, Cornell E A 1998 Phys. Rev. Lett. 811539
[17] Goldstein E V, Meystre P 1997 Phys. Rev. A 552935
[18] Ruostekoski J, Dutton Z 2007 Phys. Rev. A 76 063607
[19] Kasamatsu K, Tsubota M 2006 Phys. Rev. A 74 013617
[20] Jin G R, Kim C K, Nahm K 2005 Phys. Rev. A 72045601
[21] Zhang W, Zhou D L, Chang M S, Chapman M S, You L 2005 Phys. Rev. Lett. 95180403
[22] Raju T S, Panigrahi P K and Porsezian K 2005 Phys. Rev. A 71 035601
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[1] Cross M C, Hohenberg P C 1993 Rev. Mod. Phys. 65 851
[2] Agrawal G P 1995 Nonlinear Fiber Optics 2nd ed. (Academic, San Diego)
[3] Salasnich L, Parola A, Reatto L 2003 Phys. Rev. Lett. 91 080405
[4] Liang Z X, Zhang Z D, Liu W M 2005 Phys. Rev. Lett. 94 050402
[5] Ji A C, Liu W M, Song J L, Zhou F 2008 Phys. Rev. Lett. 101 010402
[6] Qi R, Yu X L, Li Z B, Liu W M 2009 Phys. Rev. Lett. 102 185301
[7] Konotop V V, Salerno M 2002 Phys. Rev. A 65 021602(R)
[8] Smerzi A, Trombettoni A, Kevrekidis P G, Bishop A R 2002 Phys. Rev. Lett. 89 170402
[9] Modugno M, Tozzo C, Dalfovo F 2004 Phys. Rev. A 70 043625
[10] Wu B, Niu Q 2003 New J. Phys. 5104
[11] Zheng Y, Kostrun M, Javanainen J 2004 Phys. Rev. Lett. 93 230401
[12] Cataliotti F S, Fallani L, Ferlaino F, Fort C, Maddaloni P, Inguscio M 2003 New J. Phys. 5 71
[13] Ruostekoski J, Anglin J R 2001Phys. Rev. Lett. 86 3934
[14] Vogels J M, Freeland R S, Tsai C C, Verhaar B J, Heinzen D J 2000 Phys. Rev. A 61 043407
[15] Modugno G, Modugno M, Riboli F, Roati G, Inguscio M 2002 Phys. Rev. Lett. 89 190404
[16] Hall D S, Matthews M R, Ensher J R, Wieman C E, Cornell E A 1998 Phys. Rev. Lett. 811539
[17] Goldstein E V, Meystre P 1997 Phys. Rev. A 552935
[18] Ruostekoski J, Dutton Z 2007 Phys. Rev. A 76 063607
[19] Kasamatsu K, Tsubota M 2006 Phys. Rev. A 74 013617
[20] Jin G R, Kim C K, Nahm K 2005 Phys. Rev. A 72045601
[21] Zhang W, Zhou D L, Chang M S, Chapman M S, You L 2005 Phys. Rev. Lett. 95180403
[22] Raju T S, Panigrahi P K and Porsezian K 2005 Phys. Rev. A 71 035601
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