Geometric resonances in Bose-Einstein condensates with two- and three-body interactions

Journal of Physics B: Atomic, Molecular and Optical Physics

Volumn 46, Issue 6, 2013, Pages

  Al Jibbouri, Hamid ^a   Vidanović, Ivana ^b,c   Balaž, Antun ^b,d   Pelster, Axel ^d,e  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

^b UNIVERSITY OF BELGRADE   (Serbia)

^c GOETHE UNIVERSITY   (Germany)

^d Hanse Wissenschaftskolleg (HWK)   (Germany)

^e Rheinland Pfälzische Technische Universität Kaiserslautern Landau   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATES; GEOMETRIC RESONANCE; PERTURBATIVE EXPANSION; THREE-BODY INTERACTION; TIME-DEPENDENT GROSS-PITAEVSKII EQUATION; TWO-BODY INTERACTIONS; VARIATIONAL APPROACHES; VARIATIONAL PARAMETERS;

BOSE-EINSTEIN CONDENSATION; ORDINARY DIFFERENTIAL EQUATIONS; STATISTICAL MECHANICS;

RESONANCE;

EID: 84875352334     PISSN: 09534075     EISSN: 13616455     Source Type: Journal    
DOI: 10.1088/0953-4075/46/6/065303     Document Type: Article

References (106)

1. Anderson M H, Ensher J R, Matthews M R, Wieman C E and Cornell E A 1995 Science 269 198
2. Davis K B, Mewes M-O, Andrews M R, van Druten N J, Durfee D S, Kurn D M and Ketterle W 1995 Phys. Rev. Lett. 75 3969
3. Bradley C C, Sackett C A and Hulet R G 1997 Phys. Rev. Lett. 78 985
4. Gerton J M, Strekalov D, Prodan I and Hulet R G 2000 Nature 408 692 (Pubitemid 32015979)
5. Cornish S L, Claussen N R, Roberts J L, Cornell E A and Wieman C E 2000 Phys. Rev. Lett. 85 1795
6. Roberts J L, Claussen N R, Cornish S L, Donley E A, Cornell E A and Wieman C E 2001 Phys. Rev. Lett. 86 4211 (Pubitemid 32469522)
7. Jin D S, Ensher J R, Matthews M R, Wieman C E and Cornell E A 1996 Phys. Rev. Lett. 77 420
8. Mewes M-O, Andrews M R, van Druten N J, Kurn D M, Durfee D S, Townsend C G and Ketterle W 1996 Phys. Rev. Lett. 77 988
9. Stamper-Kurn D M, Miesner H-J, Inouye S, Andrews M R and Ketterle W 1998 Phys. Rev. Lett. 81 500
10. Yang L, Wang X-R, Li K, Tan X-Z, Xiong H-W and Lu B-L 2009 Chin. Phys. Lett. 26 076701
11. Stringari S 1996 Phys. Rev. Lett. 77 2360
12. Edwards M, Ruprecht P A, Burnett K, Dodd R J and Clark C W 1996 Phys. Rev. Lett. 77 1671
13. Edwards M, Dodd R J, Clark C W and Burnett K 1996 J. Res. Natl Inst. Stand. Technol. 101 553
14. Singh K G and Rokhsar D S 1996 Phys. Rev. Lett. 77 1667
15. Pérez-García V M, Michinel H, Cirac J I, Lewenstein M and Zoller P 1996 Phys. Rev. Lett. 77 5320 (Pubitemid 40620091)
16. Pérez-García V M, Michinel H, Cirac J I, Lewenstein M and Zoller P 1997 Phys. Rev. A 56 1424
17. You L, Hoston W and Lewenstein M 1997 Phys. Rev. A 55 R1581
18. Dalfovo F, Minniti C and Pitaevskii L 1997 Phys. Rev. A 56 4855
19. Vidanović I, Balaž A, Al-Jibbouri H and Pelster A 2011 Phys. Rev. A 84 013618
20. Hechenblaikner G, Maragò O M, Hodby E, Arlt J, Hopkins S and Foot C J 2000 Phys. Rev. Lett. 85 692
21. Hechenblaikner G, Morgan S A, Hodby E, Maragò O M and Foot C J 2002 Phys. Rev. A 65 033612
22. Pitaevskii L and Stringari S 1997 Phys. Lett. A 235 398
23. Lee C, Huang J, Deng H, Dai H and Xu J 2012 Front. Phys. 7 109
24. Pitaevskii L 1997 Phys. Lett. A 229 406
25. Graham R, Walls D F and Collett M J 1998 Phys. Rev. A 57 503
26. Castin Y and Dum R 1996 Phys. Rev. Lett. 77 5315 (Pubitemid 40620090)
27. García-Ripoll J J, Pérez-García V M and Torres P 1999 Phys. Rev. Lett. 83 1715
28. García-Ripoll J J and Pérez-García V M 1999 Phys. Rev. A 59 2220 (Pubitemid 40648376)
29. Engels P, Atherton C and Hoefer M A 2007 Phys. Rev. Lett. 98 095301 (Pubitemid 46328719)
30. Nicolin A I, Carretero-González R and Kevrekidis P G 2007 Phys. Rev. A 76 063609 (Pubitemid 350276580)
31. Pollack S E, Dries D, Junker M, Chen Y P, Corcovilos T A and Hulet R G 2009 Phys. Rev. Lett. 102 090402
32. Nicolin A I 2011 Phys. Rev. E 84 056202
33. Hamner C, Chang J J, Engels P and Hoefer M A 2011 Phys. Rev. Lett. 106 065302
34. Nicolin A I 2011 Rom. Rep. Phys. 63 1329
35. Middelkamp S, Chang J J, Hamner C, Carretero-González R, Kevrekidis P G, Achilleos V, Frantzeskakis D J, Schmelcher P and Engels P 2011 Phys. Lett. A 375 642
36. Nicolin A I 2012 Physica A 391 1062
37. Balaž A and Nicolin A I 2012 Phys. Rev. A 85 023613
38. Kobyakov D, Bychkov V, Lundh E, Bezett A and Marklund M 2012 Phys. Rev. A 86 023614
39. Pepe F V, Facchi P, Florio G and Pascazio S 2012 Phys. Rev. A 86 023629
40. Gaul C, Lima R P A, Diaz E, Müller C A and Dominguez-Adame F 2009 Phys. Rev. Lett. 102 255303
41. Pollack S E, Dries D, Hulet R G, Magalhães K M F, Henn E A L, Ramos E R F, Caracanhas M A and Bagnato V S 2010 Phys. Rev. A 81 053627
42. Sabari S, Raja R V J, Porsezian K and Muruganandam P 2010 J. Phys. B: At. Mol. Opt. Phys. 43 125302
43. Gaul C, Diaz E, Lima R P A, Dominguez-Adame F and Müller C A 2011 Phys. Rev. A 84 053627
44. Vidanović I, Al-Jibbouri H, Balaž A and Pelster A 2012 Phys. Scr. T 149 014003
45. Hodby E, Maragò O M, Hechenblaikner G and Foot C J 2001 Phys. Rev. Lett. 86 2196 (Pubitemid 32277960)
46. Kasamatsu K, Tsubota M and Ueda M 2004 Phys. Rev. A 69 043621
47. Ramos E R F, dos Santos F E A, Caracanhas M A and Bagnato V S 2012 Phys. Rev. A 85 033608
48. Dalfovo F, Minniti C, Stringari S and Pitaevskii L 1997 Phys. Lett. A 227 259
49. Leanhardt A E, Chikkatur A P, Kielpinski D, Shin Y, Gustavson T L, Ketterle W and Pritchard D E 2002 Phys. Rev. Lett. 89 040401
50. Zhang W, Wright E M, Pu H and Meystre P 2003 Phys. Rev. A 68 023605
51. Zhang A-X and Xue J-K 2007 Phys. Rev. A 75 013624 (Pubitemid 46182635)
52. Köhler T 2002 Phys. Rev. Lett. 89 210404
53. Tolra B L, O'Hara K M, Huckans J H, Phillips W D, Rolston S L and Porto J V 2004 Phys. Rev. Lett. 92 190401
54. Ruprecht P A, Holland M J, Burnett K and Edwards M 1995 Phys. Rev. A 51 4704
55. Akhmediev N, Das M P and Vagov A V 1999 Int. J. Mod. Phys. B 13 625
56. Gammal A, Frederico T, Tomio L and Chomaz Ph 2000 J. Phys. B: At. Mol. Opt. Phys. 33 4053
57. Tomio L, Filho V S, Gammal A and Frederico T 2003 Laser Phys. 13 582
58. Abdullaev F K, Gammal A, Tomio L and Frederico T 2001 Phys. Rev. A 63 043604 (Pubitemid 33727772)
59. Tewari S P, Silotia P, Saxena A and Gupta L K 2006 Phys. Lett. A 359 658 (Pubitemid 44634218)
60. Wamba E, Mohamadou A and Kofane T C 2008 J. Phys. B: At. Mol. Opt. Phys. 41 225403
61. Abdullaev F K and Salerno M 2005 Phys. Rev. A 72 033617 (Pubitemid 41776578)
62. Chen B-L, Huang X-B, Kou S-P and Zhang Y 2008 Phys. Rev. A 78 043603
63. Chen Y, Zhang K-Z and Chen Y 2009 J. Phys. B: At. Mol. Opt. Phys. 42 185302
64. Zhou K, Liang Z and Zhang Z 2010 Phys. Rev. A 82 013634
65. Silva-Valencia J and Souza A M C 2011 Phys. Rev. A 84 065601
66. Sowiński T 2012 Phys. Rev. A 85 065601
67. Singh M, Dhar A, Mishra T, Pai R V and Das B P 2012 Phys. Rev. A 85 051604
68. Safavi-Naini A, von Stecher J, Capogrosso-Sansone B and Rittenhouse S T 2012 Phys. Rev. Lett. 109 135302
69. Dasgupta R 2010 Phys. Rev. A 82 063607
70. Roy U, Atre R, Sudheesh C, Kumar C N and Panigrahi P K 2010 J. Phys. B: At. Mol. Opt. Phys. 43 025003
71. Ma J, Li Z and Xue J-K 2009 Chin. Phys. B 18 4122
72. Josserand C, Pomeau Y and Rica S 1995 Phys. Rev. Lett. 75 3150
73. Josserand C and Rica S 1997 Phys. Rev. Lett. 78 1215
74. Berloff N G 2009 Fluid Dyn. Res. 41 051403
75. Li H-C, Chen H-J and Xue J-K 2010 Chin. Phys. Lett. 27 030304
76. Yong W-M, Wei X-F, Zhou X-Y and Xue J-K 2009 Commun. Theor. Phys. 51 433
77. Peng P and Li G-Q 2009 Chin. Phys. B 18 3221
78. Gross E P 1961 Nuovo Cimento 20 454
79. Pitaevskii L P 1961 Sov. Phys. - JETP 13 451
80. Pitaevskii L and Stringari S 2004 Bose-Einstein Condensation (Oxford: Clarendon)
81. Pethick C J and Smith H 2008 Bose-Einstein Condensation in Dilute Gases 2nd edn (Cambridge: Cambridge University Press)
82. Dalfovo F, Giorgini S, Pitaevskii L P and Stringari S 1999 Rev. Mod. Phys. 71 463
83. Altin P A, Dennis G R, McDonald G D, Döring D, Debs J E, Close J D, Savage C M and Robins N P 2011 Phys. Rev. A 84 033632
84. Efimov V 1971 Sov. J. Nucl. Phys. 12 589
85. Efimov V 1979 Sov. J. Nucl. Phys. 29 546
86. Braaten E and Nieto A 1999 Eur. Phys. J. B 11 143
87. Gammal A, Frederico T and Tomio L 2001 Phys. Rev. A 64 055602
88. Bulgac A 2002 Phys. Rev. Lett. 89 050402
89. Trombettoni A and Smerzi A 2001 Phys. Rev. Lett. 86 2353 (Pubitemid 32277998)
90. Grimm R 2010 Rev. Mod. Phys. 82 1225
91. Borzov D, Mashayekhi M S, Zhang S, Song J-L and Zhou F 2012 Phys. Rev. A 85 023620
92. Bogoliubov N N and Mitropolsky Yu A 1961 Asymptotic Methods in the Theory of Non-Linear Oscillations (New York: Gordon and Breach)
93. Pelster A, Kleinert H and Schanz M 2003 Phys. Rev. E 67 016604
94. Mickens R 1981 An Introduction to Nonlinear Oscillations (Cambridge: Cambridge University Press)
95. Minorsky N 1962 Nonlinear Oscillations (Princeton, NJ: Van Nostrand-Reinhold)
96. Mathematica symbolic calculation software package. Available at www.wolfram.com/mathematica
97. Muruganandam P and Adhikari S K 2009 Comput. Phys. Commun. 180 1888
98. Vudragović D, Vidanović I, Balaž A, Muruganandam P and Adhikari S K 2012 Comput. Phys. Commun. 183 2021
99. Vidanović I, Bogojević A, Balaž A and Belić A 2009 Phys. Rev. E 80 066706
100. Balaž A, Vidanović I, Bogojević A and Pelster A 2010 Phys. Lett. A 374 1539
101. Balaž A, Vidanović A, Bogojević A, Belić A and Pelster A 2011 J. Stat. Mech. P03004
102. Balaž A, Vidanović A, Bogojević A, Belić A and Pelster A 2011 J. Stat. Mech. P03005
103. Diakonos F K, Kalozoumis P A, Karanikas A I, Manifavas N and Schmelcher P 2012 Phys. Rev. A 85 062110
104. Hu W H, Jin L and Song Z 2012 Dynamics of one-dimensional tight-binding models with arbitrary time-dependent external homogeneous fields arXiv:1205.6999
105. Balaž A, Vidanović I, Stojiljković D, Vudragović D, Belić A and Bogojević A 2012 Commun. Comput. Phys. 11 739
106. Lima A R P and Pelster A 2012 Phys. Rev. A 86 063609