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We study bosonic atoms trapped in a triple-well with synthetic gauge field. The energy spectrum of the system can be tuned by an effective magnetic field. For a non-interacting system, eigen-states with different momenta will be the ground state with the magnetic field varying. In the full quantum scheme, we find the critical ratio between the tunneling and interaction strength for localization of system under the repulsive interaction. We also discuss the macro-rotation effect induced by the magnetic field and the boundary effect of the temporal evolution for a non-interacting system.
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Keywords:
- bosonic atoms /
- synthetic gauge field /
- triple-well potential
[1] Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[2] Liu J, Fu L B, Ou B Y, Chen S G, Dae-Ⅱ Choi, Wu B, Niu Q 2002 Phys. Rev. A 66 023404
[3] Wang G F, Liu B, Fu L B, Zhao H 2007 Acta Phys. Sin. 56 3733 (in Chinese) [王冠芳, 刘彬, 傅立斌, 赵鸿 2007 56 3733]
[4] Anderson B P, Kasevich M A 1998 Science 282 1686
[5] Bronski J C, Carr L D, Deconinck B, Kutz J N 2001 Phys. Rev. Lett. 86 1402
[6] Raghavan S, Smerzi A, Fantoni S, Shenoy S R 1999 Phys. Rev. A 59 620
[7] Albiez M, Gati R, Fölling J, Hunsmann S, Cristiani M, Oberthaler M K 2005 Phys. Rev. Lett. 95 010402
[8] Levy S, Lahoud E, Shoroni I, Steinhauer J 2007 Nature 449 579
[9] Gati R, Oberthaler M K 2007 J. Phys. B 40 R61
[10] Smerzi A, Fantoni S, Giovanazzi S, Shenoy S R 1997 Phys. Rev. Lett. 79 4950
[11] Milburn G J, Cor-ney J, Wright E M, Walls D F 1997 Phys. Rev. A 55 4318
[12] Shin Y, Saba M, Pasquini T A, Ketterle W, Pritchard D E, Leanhardt A E 2004 Phys. Rev. Lett. 92 050405
[13] Weiss C, Teichmann N 2008 Phys. Rev. Lett. 100 140408
[14] Qiu H B, Tian J, Fu L B 2010 Phys. Rev. A 81 043613
[15] Nemoto K, Holmes C A, Milburn G J, Munro W J 2000 Phys. Rev. A 63 013604
[16] Lahaye T, Pfau T, Santos L 2010 Phys. Rev. Lett. 104 170404
[17] Tung S, Schweikhard V, Cornell E A 2006 Phys. Rev. Lett. 97 240402
[18] Williams R A, Al-Assam S, Foot C J 2010 Phys. Rev. Lett. 104 050404
[19] Lin Y J, Compton R L, Jimenez-Garcia K, Porto J V, Spielman I B 2009 Nature 462 628
[20] Wright E, Eilbeck J C, Hays M H, Miller P D, Scott A C 1993 Physica D 65 18
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[1] Wu B, Niu Q 2000 Phys. Rev. A 61 023402
[2] Liu J, Fu L B, Ou B Y, Chen S G, Dae-Ⅱ Choi, Wu B, Niu Q 2002 Phys. Rev. A 66 023404
[3] Wang G F, Liu B, Fu L B, Zhao H 2007 Acta Phys. Sin. 56 3733 (in Chinese) [王冠芳, 刘彬, 傅立斌, 赵鸿 2007 56 3733]
[4] Anderson B P, Kasevich M A 1998 Science 282 1686
[5] Bronski J C, Carr L D, Deconinck B, Kutz J N 2001 Phys. Rev. Lett. 86 1402
[6] Raghavan S, Smerzi A, Fantoni S, Shenoy S R 1999 Phys. Rev. A 59 620
[7] Albiez M, Gati R, Fölling J, Hunsmann S, Cristiani M, Oberthaler M K 2005 Phys. Rev. Lett. 95 010402
[8] Levy S, Lahoud E, Shoroni I, Steinhauer J 2007 Nature 449 579
[9] Gati R, Oberthaler M K 2007 J. Phys. B 40 R61
[10] Smerzi A, Fantoni S, Giovanazzi S, Shenoy S R 1997 Phys. Rev. Lett. 79 4950
[11] Milburn G J, Cor-ney J, Wright E M, Walls D F 1997 Phys. Rev. A 55 4318
[12] Shin Y, Saba M, Pasquini T A, Ketterle W, Pritchard D E, Leanhardt A E 2004 Phys. Rev. Lett. 92 050405
[13] Weiss C, Teichmann N 2008 Phys. Rev. Lett. 100 140408
[14] Qiu H B, Tian J, Fu L B 2010 Phys. Rev. A 81 043613
[15] Nemoto K, Holmes C A, Milburn G J, Munro W J 2000 Phys. Rev. A 63 013604
[16] Lahaye T, Pfau T, Santos L 2010 Phys. Rev. Lett. 104 170404
[17] Tung S, Schweikhard V, Cornell E A 2006 Phys. Rev. Lett. 97 240402
[18] Williams R A, Al-Assam S, Foot C J 2010 Phys. Rev. Lett. 104 050404
[19] Lin Y J, Compton R L, Jimenez-Garcia K, Porto J V, Spielman I B 2009 Nature 462 628
[20] Wright E, Eilbeck J C, Hays M H, Miller P D, Scott A C 1993 Physica D 65 18
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