| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
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Tunneling dynamics of a few bosons with both two-and three-body interactions in a double-well potential |
| Na-Na Chang(常娜娜), Zi-Fa Yu(鱼自发), Ai-Xia Zhang(张爱霞), Ju-Kui Xue(薛具奎) |
| Key Laboratory of Atomic & Molecular Physics and Functional Materials of Gansu Province, College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070, China |
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Abstract We investigate the tunneling dynamics of a few bosons with both two-and three-body interactions in a double-well potential. Uncorrelated tunneling of Rabi oscillation with the minimum period can happen only when the two-and three-body interactions satisfy a critical condition, i.e., the effective interaction energy is minimized. When the atomic interactions are slightly away from the critical condition in the weak interaction regime, the uncorrelated tunneling exhibits collapse-revival character. When the atomic interactions are strong and far away from the critical condition, the correlated tunneling with Rabi oscillation occurs. The tunneling period (the period of collapse-revival) increases (decreases) when the rate between the two-body and three-body interactions is away from the corresponding critical condition or when the number of bosons increases. Further, the tunneling properties are understood with the help of the energy spectrum of the system. Eventually, the effect of the initial configuration on the tunneling dynamics of a few bosons for both odd and even numbers of bosons is studied, which results in intriguing consequences.
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Received: 11 May 2017
Revised: 17 August 2017
Accepted manuscript online:
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PACS:
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52.27.Ep
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(Electron-positron plasmas)
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52.38.Hb
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(Self-focussing, channeling, and filamentation in plasmas)
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98.70.Rz
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(γ-ray sources; γ-ray bursts)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11475027, 11764039, 11274255, and 11305132), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20136203110001), and Scientific Research Project of Gansu Higher Education, China (Grant No. 2016A-005). |
Corresponding Authors:
Ju-Kui Xue
E-mail: xuejk@nwnu.edu.cn
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Cite this article:
Na-Na Chang(常娜娜), Zi-Fa Yu(鱼自发), Ai-Xia Zhang(张爱霞), Ju-Kui Xue(薛具奎) Tunneling dynamics of a few bosons with both two-and three-body interactions in a double-well potential 2017 Chin. Phys. B 26 115202
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| [1] |
Anderson M H, Matthews M R, Wieman C E and Cornell E A 1995 Science 269 198
|
| [2] |
Schmitt J, Damn T, Dung D, Vewinger F, Klaers J and Weitz M 2014 Phys. Rev. Lett. 112 030401
|
| [3] |
Trombettoni A and Smerzi A 2001 Phys. Rev. Lett. 86 2353
|
| [4] |
Cazalilla M A, Citro, R, Giamarchi T, Orignac E and Rigol M 2011 Rev. Mod. Phys. 83 1405
|
| [5] |
Dalfovo F, Giorgini S, Pitaevskii L and Stringari S 1999 Rev. Mod. Phys. 71 463
|
| [6] |
Luo X, Xie Q and Wu B 2008 Phys. Rev. A 77 053601
|
| [7] |
Zhu H B, Liu S J and Xiong H W 2011 Chin. Phys. Lett. 28 090303
|
| [8] |
Juliá-Díaz B, Dagnino D, Lewenstein M, Martorell J, Polls A 2010 Phys. Rev. A 81 023615
|
| [9] |
Chatterjee B, Brouzos I, Cao L and Schmelcher P 2012 Phys. Rev. A 85 013611
|
| [10] |
Zhu Q, Zhang Q and Wu B 2015 J. Phys. B At. Mol. Opt. Phys 48 045301
|
| [11] |
Albiez M, Gati R, Fölling J, Hunsmann S, Cristiani M and Oberthaler M K 2005 Phys. Rev. Lett. 95 010402
|
| [12] |
Smerzi A, Fantoni S, Giovanazzi S and Shenoy S R 1997 Phys. Rev. Lett. 79 4950
|
| [13] |
Winkler1 K, Thalhammer G, Lang F, Grimm R, Denschlag J H, Daley A J, Kantian A, Büchler H P and Zoller P 2006 Nat. Phys. 441 853
|
| [14] |
Fölling S, Trotzky S, Cheinet P, Feld M, Saers R, Widera A, Müller T and Bloch I 2007 Nat. Phys. 448 1029
|
| [15] |
Salgueiro A N 2007 Eur. Phys. J. D 44 537
|
| [16] |
Carr L D, Dounas-Frazer D R and García-March M A 2010 Eur. Phys. Lett. 90 10005
|
| [17] |
Dounas-Frazer D R, Hermundstad A M and Carr L D 2007 Phys. Rev. Lett. 99 200402
|
| [18] |
Wang L, Hao Y and Chen S 2008 Eur. Phys. J. D 48 229
|
| [19] |
Wu B and Niu Q 2000 Phys. Rev. A 61 023402
|
| [20] |
Zöllner k S, Meyer H D and Schmelcher P 2008 Phys. Rev. Lett. 100 40401
|
| [21] |
Zöllner S, Meyer H D and Schmelcher P 2008 Phys. Rev. A 78 013621
|
| [22] |
Chereji R V, Tolkunov D, Locke G and Morozov A V 2011 Phys. Rev. E 83 050903
|
| [23] |
Kraemer T, Mark M, Waldburger P, Danzl J G, Chin C, Engeser B, Lange A D, Pilch K, Jaakkola A, Nägerl H C and Grimm R 2006 Nat. Phys. 440 315
|
| [24] |
Büchler B H P, Micheli A and Zoller P 2007 Nat. Phys. 3 726
|
| [25] |
Zhang A X and Xue J K 2007 Phys. Rev. A 75 013624
|
| [26] |
Wu Y and Yang X X 1997 Phys. Rev. A 56 2443
|
| [27] |
Chen Y H, Wu Y H, Tao H S and Liu W M 2010 Phys. Rev. A 82 043625
|
| [28] |
Safavi-Naini A, Stecher J V, Capogrosso-Sansone B and Rittenhouse S T 2012 Phys. Rev. Lett. 109 135302
|
| [29] |
Will S, Best T, Schneider U, Hackermüller L, Lühmann D and Bloch I 2010 Nat. Phys. 465 197
|
| [30] |
Knoop S, Ferlaino F, Berninger M, Mark M, Nägerl H C, Grimm R, D'Incao J P and Esry B D 2010 Phys. Rev. Lett. 104 053201
|
| [31] |
Zaccanti M, Deissler B, D'Errico C, Fattori M, Lasinio M J, Müller S, Roati G, Inguscio M and Modugno G 2009 Nat. Phys. 5 586591
|
| [32] |
Zhang A X and Xue J K 2010 Phys. Rev. A 82 013606
|
| [33] |
Köhler T 2002 Phys. Rev. Lett. 89 210404
|
| [34] |
Tiesinga E and Johnson 2011 Phys. Rev. A 83 063609
|
| [35] |
Sowiński T 2012 Phys. Rev. A 85 065601
|
| [36] |
Yi S and You L 2000 Phys. Rev. A 61 041604(R)
|
| [37] |
Dutta S, Barman A, Siddharth A, Khan A and Basu S 2015 Eur. Phys. J. B 88 139
|
| [38] |
Lü R, Zhang M, Zhu J L and You L 2008 Phys. Rev. A 78 011605(R)
|
| [39] |
Longhi S J 2011 Phys. B At. Mol. Opt. Phys 44 051001
|
| [40] |
Winkler K, Thalhammer G, Lang F, Grimm R, Denschlag J H, Daley A. J, Kantian A, Büchler H P and Zoller P 2006 Nat. Phys. 441 853
|
| [41] |
Zöllner S, Meyer H and Schmelcher P 2008 Phys. Rev. Lett. 100 040401
|
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