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Stability of a dipolar Bose-Einstein condensate (BEC) soliton in crossed linear and nonlinear optical lattices is investigated using variational approximation. The Euler-Lagrange equations for variational parameters and the effective potential are derived by means of a cylindrically symmetric Gaussian ansatz, while the equilibrium widths are determined by minimization of the effective potential. In the presence of a periodic spatial variation of short-range contact interaction, the localized bound states can exist for both attractive and repulsive dipolar interactions. And the domain of stable dipolar BEC solitons is illustrated in a phase plot of the nonlinearities. Finally, we give the evolution of the variational width for different values of the nonlinearities.
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Keywords:
- Bose-Einstein condensates /
- linear and nonlinear optical lattices /
- dipolar soliton /
- stability
[1] Yang H S, Xu Z J, Cheng C, Wu Q, Xiong H W 2004 Acta Phys. Sin. 53 2835 (in Chinese)[杨欢耸, 徐志君, 程成, 武强, 熊宏伟 2004 物理学报 53 2835]
[2] [3] [4] Xi Y D, Wang D L, She Y C, Wang F J, Ding J W 2010 Acta Phys. Sin. 59 3720 (in Chinese)[奚玉东, 王登龙, 佘彦超, 王凤姣, 丁建文 2010 物理学报 59 3720]
[5] [6] Chen H F, Huang J S, Xie Z W 2008 Acta Phys. Sin. 57 3435 (in Chinese)[陈海峰, 黄劲松, 谢征微 2008 物理学报 57 3435]
[7] da Luz H L F, Abdullaev F Kh, Gammal A, Sarlerno M, Lauro Tomio 2010 Phys. Rev. A 82 043618
[8] [9] Ji S T, Yan P G, Liu X S 2014 Chin. Phys. B 23 030311
[10] [11] Li Z J, Hai W H, Deng Y 2013 Chin. Phys. B 22 090505
[12] [13] Wang X M, Li Q Y, Li Z D 2013 Chin. Phys. B 22 050311
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[17] [18] Abdullaev F Kh, Baizakov B B, Darmanyan S A, Konotop V V, Salerno M 2001 Phys. Rev. A 64 043606
[19] [20] Chen H J, Li X F 2013 Acta Phys. Sin. 62 070302 (in Chinese) [陈海军, 李向富 2013 物理学报 62 070302]
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[25] [26] Adhikaria S K, Muruganandama P 2012 Physics Letters A 376 2200
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[29] [30] Li J P, Tan L, Zang X F, Yang K 2008 Acta Phys. Sin. 57 7467 (in Chinese) [李菊萍, 谭磊, 臧小飞, 杨科 2008 物理学报 57 7467]
[31] Zang X F, Li J P, Tan L 2007 Acta Phys. Sin. 56 4348 (in Chinese) [臧小飞, 李菊萍, 谭磊 2007 物理学报 56 4348]
[32] [33] Yi S, You L 2001 Physics Letters A 63 053607
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[1] Yang H S, Xu Z J, Cheng C, Wu Q, Xiong H W 2004 Acta Phys. Sin. 53 2835 (in Chinese)[杨欢耸, 徐志君, 程成, 武强, 熊宏伟 2004 物理学报 53 2835]
[2] [3] [4] Xi Y D, Wang D L, She Y C, Wang F J, Ding J W 2010 Acta Phys. Sin. 59 3720 (in Chinese)[奚玉东, 王登龙, 佘彦超, 王凤姣, 丁建文 2010 物理学报 59 3720]
[5] [6] Chen H F, Huang J S, Xie Z W 2008 Acta Phys. Sin. 57 3435 (in Chinese)[陈海峰, 黄劲松, 谢征微 2008 物理学报 57 3435]
[7] da Luz H L F, Abdullaev F Kh, Gammal A, Sarlerno M, Lauro Tomio 2010 Phys. Rev. A 82 043618
[8] [9] Ji S T, Yan P G, Liu X S 2014 Chin. Phys. B 23 030311
[10] [11] Li Z J, Hai W H, Deng Y 2013 Chin. Phys. B 22 090505
[12] [13] Wang X M, Li Q Y, Li Z D 2013 Chin. Phys. B 22 050311
[14] [15] [16] Trombettoni A, Smerzi A 2001 Phys. Rev. Lett. 86 2353
[17] [18] Abdullaev F Kh, Baizakov B B, Darmanyan S A, Konotop V V, Salerno M 2001 Phys. Rev. A 64 043606
[19] [20] Chen H J, Li X F 2013 Acta Phys. Sin. 62 070302 (in Chinese) [陈海军, 李向富 2013 物理学报 62 070302]
[21] Koch T, Lahaye T, Metz J, Frohlich B, Griesmaier A, Pfau T 2008 Nature Phys. 4 218
[22] [23] [24] Lu M, Youn S H, Lev B L 2010 Phys. Rev. Lett. 104 063001
[25] [26] Adhikaria S K, Muruganandama P 2012 Physics Letters A 376 2200
[27] [28] Adhikaria S K, Muruganandama P 2012 Journal of Physics, B 45 045301
[29] [30] Li J P, Tan L, Zang X F, Yang K 2008 Acta Phys. Sin. 57 7467 (in Chinese) [李菊萍, 谭磊, 臧小飞, 杨科 2008 物理学报 57 7467]
[31] Zang X F, Li J P, Tan L 2007 Acta Phys. Sin. 56 4348 (in Chinese) [臧小飞, 李菊萍, 谭磊 2007 物理学报 56 4348]
[32] [33] Yi S, You L 2001 Physics Letters A 63 053607
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