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According to the theory of nonlinear Rosen-Zener tunneling, we investigate the nonlinear Ramsey interference of Bose-Einstein condensate in a double-well potential with Gaussian pulse. Rich Ramsey fringes are shown by the numerical simulations. The influences on the fringes of the atom-atom interaction and the period of Gaussian pulse are discussed. We obtain the analytical expression for the fundamental frequency of Ramsey fringes by using Hamilton equation. The relation of the frequency to the interaction strength and the Gaussian-pulse period is found by analyzing the fringes through Fourier transformation. The numerical simulations are consistent with our theoretical predictions.
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Keywords:
- Bose-Einstein condensate /
- Ramsey interference /
- Gaussian pulse
[1] Ramsey N F 1950 Phys. Rev. 78 695
[2] Mousavi S V, Campo A del, Lizuain I, Muga J G 2007 Phys. Rev. A 76 033607
[3] Fertig C, Gibble K 2000 Phys. Rev. Lett. 85 1622
[4] Peters A, Chung K Y, Chu S 1999 Nature 400 849
[5] Canuel B, Leduc F, Holleville D, Gauguet A, Fils J, Virdis A, Clairon A, Dimarcq N, Bordé C J, Landragin A 2006 Phys. Rev. Lett. 97 010402
[6] Durfee D S, Shaham Y K, Kasecich M A 2007 Phys. Rev. Lett. 97 240801
[7] Gustavson T L, Bouyer P, Kasevich M A 1997 Phys. Rev. Lett. 78 2046
[8] Weiss D S, Young B N, Chu S 1993 Phys. Rev. Lett. 70 2706
[9] Grifoni M, Hanggi P 1998 Phys. Rep. 304 229
[10] Dalfovo F, Giorgini S, Pitaevskii L P, Stringari S 1999 Rev. Mod. Phys. 71 463
[11] Leggett A J 2001 Rev. Mod. Phys. 73 307
[12] Albiez M, Gati R, Folling J, Hunsmann S, Cristiani M, Oberthaler M K 2005 Phys. Rev. Lett. 95 010402
[13] Liu J, Wu B, Niu Q 2003 Phys. Rev. Lett. 90 170404
[14] 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 59 3720]
[15] Wang S, Yang Z A 2009 Acta Phys. Sin. 58 3699 (in Chinese) [王沙, 杨志安 2009 58 3699]
[16] Thomas G F 1983 Phys. Rev. A 27 2744
[17] Ye D F, Fu L B, Zhao H, Liu J 2007 Acta Phys. Sin. 56 5071 (in Chinese) [叶地发, 傅立斌, 赵 鸿, 刘杰 2007 56 5071]
[18] Wang J Z, Cao H, Dou F Q 2012 Acta Phys. Sin. 61 220305 (in Chinese) [王建忠, 曹辉, 豆福全 2012 61 220305]
[19] Wang H L, Yang S P 2008 Acta Phys. Sin. 57 4700 (in Chinese) [王海雷, 杨世平 2008 57 4700]
[20] Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2005 Phys. Rev. A 72 063623
[21] Li L, Li Z D, Malomed B A, Mihalache D, Liu W M 2005 Phys. Rev. A 72 033611
[22] Kohler S, Sols F 2002 Phys. Rev. Lett. 89 060403
[23] Ma Y, Fu L B, Yang Z A, Liu J 2006 Acta Phys. Sin. 55 5625 (in Chinese) [马云, 傅立斌, 杨志安, 刘杰 2006 55 5625]
[24] Li S C, Fu L B, Duan W S, Liu J 2008 Phys. Rev. A 78 063621
[25] Li S C 2010 J. Phys. B 43 205303
[26] Li S C, Duan W S 2009 Acta Phys. Sin. 58 4396 (in Chinese) [栗生长, 段文山 2009 58 4396]
[27] Meng H J, Gou X Q, Wang W Y, Yang Y, Ma Y, M Y Y, Duan W S 2012 Acta Phys. Sin. 61 197301 (in Chinese) [蒙红娟, 苟学强, 王文元, 杨阳, 马莹, 马云云, 段文山 2012 61 197301]
[28] Hua W, Li B, Liu X S 2011 Chin. Phys. B 20 060308
[29] Xi Y D, Wang D L, He Z M, Ding J W 2009 Chin. Phys. B 18 939
[30] Fang J S 2008 Chin. Phys. B 17 3996
[31] Lee C H, Huang J B, Deng H M, Dai H, Xu J 2012 Front. Phys. 7 109
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[1] Ramsey N F 1950 Phys. Rev. 78 695
[2] Mousavi S V, Campo A del, Lizuain I, Muga J G 2007 Phys. Rev. A 76 033607
[3] Fertig C, Gibble K 2000 Phys. Rev. Lett. 85 1622
[4] Peters A, Chung K Y, Chu S 1999 Nature 400 849
[5] Canuel B, Leduc F, Holleville D, Gauguet A, Fils J, Virdis A, Clairon A, Dimarcq N, Bordé C J, Landragin A 2006 Phys. Rev. Lett. 97 010402
[6] Durfee D S, Shaham Y K, Kasecich M A 2007 Phys. Rev. Lett. 97 240801
[7] Gustavson T L, Bouyer P, Kasevich M A 1997 Phys. Rev. Lett. 78 2046
[8] Weiss D S, Young B N, Chu S 1993 Phys. Rev. Lett. 70 2706
[9] Grifoni M, Hanggi P 1998 Phys. Rep. 304 229
[10] Dalfovo F, Giorgini S, Pitaevskii L P, Stringari S 1999 Rev. Mod. Phys. 71 463
[11] Leggett A J 2001 Rev. Mod. Phys. 73 307
[12] Albiez M, Gati R, Folling J, Hunsmann S, Cristiani M, Oberthaler M K 2005 Phys. Rev. Lett. 95 010402
[13] Liu J, Wu B, Niu Q 2003 Phys. Rev. Lett. 90 170404
[14] 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 59 3720]
[15] Wang S, Yang Z A 2009 Acta Phys. Sin. 58 3699 (in Chinese) [王沙, 杨志安 2009 58 3699]
[16] Thomas G F 1983 Phys. Rev. A 27 2744
[17] Ye D F, Fu L B, Zhao H, Liu J 2007 Acta Phys. Sin. 56 5071 (in Chinese) [叶地发, 傅立斌, 赵 鸿, 刘杰 2007 56 5071]
[18] Wang J Z, Cao H, Dou F Q 2012 Acta Phys. Sin. 61 220305 (in Chinese) [王建忠, 曹辉, 豆福全 2012 61 220305]
[19] Wang H L, Yang S P 2008 Acta Phys. Sin. 57 4700 (in Chinese) [王海雷, 杨世平 2008 57 4700]
[20] Liu J, Wang W G, Zhang C W, Niu Q, Li B W 2005 Phys. Rev. A 72 063623
[21] Li L, Li Z D, Malomed B A, Mihalache D, Liu W M 2005 Phys. Rev. A 72 033611
[22] Kohler S, Sols F 2002 Phys. Rev. Lett. 89 060403
[23] Ma Y, Fu L B, Yang Z A, Liu J 2006 Acta Phys. Sin. 55 5625 (in Chinese) [马云, 傅立斌, 杨志安, 刘杰 2006 55 5625]
[24] Li S C, Fu L B, Duan W S, Liu J 2008 Phys. Rev. A 78 063621
[25] Li S C 2010 J. Phys. B 43 205303
[26] Li S C, Duan W S 2009 Acta Phys. Sin. 58 4396 (in Chinese) [栗生长, 段文山 2009 58 4396]
[27] Meng H J, Gou X Q, Wang W Y, Yang Y, Ma Y, M Y Y, Duan W S 2012 Acta Phys. Sin. 61 197301 (in Chinese) [蒙红娟, 苟学强, 王文元, 杨阳, 马莹, 马云云, 段文山 2012 61 197301]
[28] Hua W, Li B, Liu X S 2011 Chin. Phys. B 20 060308
[29] Xi Y D, Wang D L, He Z M, Ding J W 2009 Chin. Phys. B 18 939
[30] Fang J S 2008 Chin. Phys. B 17 3996
[31] Lee C H, Huang J B, Deng H M, Dai H, Xu J 2012 Front. Phys. 7 109
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