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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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