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Adiabatic tunneling of Bose-Einstein condensates with modulated atom interaction in a double-well potential |
Xin Xiao-Tian (辛晓天), Huang Fang (黄芳), Xu Zhi-Jun (徐志君), Li Hai-Bin (李海彬) |
Department of Applied Physics, Zhejiang University of Technology, Hangzhou 310023, China |
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Abstract We study the adiabatic tunneling of Bose-Einstein condensates in a symmetric double-well potential when the interaction strength between the atoms is modulated linearly or in a cosine periodic form. It is shown that the system evolves along a nonlinear eigenstate path. In the case of linear modulation under the adiabatic approximation conditions, the tunneling probability of the condensate atoms to the other potential well is half. However, when the system is periodically scanned in the adiabatic process, we find an interesting phenomenon. A small change in the cycle period can lead to the condensate atoms returning to the right well or tunneling to the left well. The system comes from a linear eigenstate back to a nonlinear one, which is completely different from the linear eigenstate evolution. We explain the results by using the energy level and the phase diagram.
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Received: 04 November 2013
Revised: 30 December 2013
Accepted manuscript online:
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PACS:
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03.75.Kk
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(Dynamic properties of condensates; collective and hydrodynamic excitations, superfluid flow)
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03.75.Lm
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(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
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Corresponding Authors:
Li Hai-Bin
E-mail: hbli@zjut.edu.cn
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About author: 03.75.Kk; 03.75.Lm |
Cite this article:
Xin Xiao-Tian (辛晓天), Huang Fang (黄芳), Xu Zhi-Jun (徐志君), Li Hai-Bin (李海彬) Adiabatic tunneling of Bose-Einstein condensates with modulated atom interaction in a double-well potential 2014 Chin. Phys. B 23 070307
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[1] |
Pethick C J and Smith H 2001 Bose-Einstein Condensation in Dilute Gases (Cambridge: Cambridge University Press)
|
[2] |
Dalfovo F, Giorgini S, Pitaevskii L and Stringari S 1999 Rev. Mod. Phys. 71 463
|
[3] |
Andrews M R, Townsend C G, Miesner H J, Durfee D S, Kurn D M and Ketterle W 1997 Science 275 637
|
[4] |
Milburn G J, Corney J, Wright E M and Walls D F 1997 Phys. Rev. A 55 4318
|
[5] |
Shin Y, Saba M, Schirotzek A, Pasquini T A, Leanhardt A E, Pritchard D E and Ketterle W 2004 Phys. Rev. Lett. 92 150401
|
[6] |
Hall B V, Whitlock S, Anderson R, Hannaford P and Sidorov A I 2007 Phys. Rev. Lett. 98 030402
|
[7] |
Smerzi A, Fantoni S, Giovanazzi S and Shenoy S R 1997 Phys. Rev. Lett. 79 4950
|
[8] |
Albiez M, Gati R, Fölling J, Hunsmann S, Cristiani M and Oberthaler M K 2005 Phys. Rev. Lett. 95 010402
|
[9] |
Wu B and Niu Q 2000 , Phys. Rev. A 61 023402
|
[10] |
Liu J, Wu B and Niu Q 2003 Phys. Rev. Lett. 90 170404
|
[11] |
Liu J, Fu L B, Ou B Y, Chen S G, Choi D I and Niu Q 2002 Phys. Rev. A 66 023404
|
[12] |
Wang G F, Fu L B and Liu J 2006 Phys. Rev. A 73 013619
|
[13] |
Yang L Y, Fu L B and Liu J 2009 Laser Phys. 19 4 678
|
[14] |
Graefe E M, Korsch H J and Witthaut D 2006 Phys. Rev. A 73 013617
|
[15] |
Huang F and Li H B 2011 Acta Phys. Sin. 60 020303 (in Chinese)
|
[16] |
Ye D F, Fu L B and Liu J 2008 Phys. Rev. A 77 013402
|
[17] |
Ye D F, Fu L B, Zhao H and Liu J 2007 Acta Phys. Sin. 56 5071 (in Chinese)
|
[18] |
Wang S and Yang Z A 2009 Acta Phys. Sin. 58 729 (in Chinese)
|
[19] |
Xi Y D, Wang D L, She Y C, Wang F J and Ding J W 2010 Acta Phys. Sin. 59 3720 (in Chinese)
|
[20] |
Zhang H, Wang W Y, Meng H J, Ma Y, Ma Y Y and Duan W S 2013 Acta Phys. Sin. 62 110305 (in Chinese)
|
[21] |
Pitaevskii L and Stringari S 2003 Bose-Einstein Condensation (Oxford: Oxford University Press)
|
[22] |
Inouye S, Andrews M R, Stenger J, Miesner H J, Stamper-Kurn D M and Ketterle W 1998 Nature 392 151
|
[23] |
Bauer D M, Lettner M, Vo C, Rempe G and Durr S 2009 Nat. Phys. 5 339
|
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