Quantum dynamics of atomic bright solitons under splitting and recollision, and implications for interferometry

New Journal of Physics

Volumn 14, Issue , 2012, Pages

  Martin, A D ^a,b   Ruostekoski, J ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b UNIVERSITY OF OTAGO   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

BRIGHT SOLITONS; GAUSSIANS; NONLINEAR INTERACTIONS; ONE-DIMENSIONAL HARMONIC TRAP; PHASE COHERENCE; QUANTUM DYNAMICS; QUANTUM FLUCTUATION; QUANTUM MECHANICAL; RECOLLISION;

BIOELECTRIC PHENOMENA; QUANTUM ELECTRONICS;

SOLITONS;

EID: 84860492946     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/14/4/043040     Document Type: Article

References (72)

1. Haus H A and Wong W S 1996 Rev. Mod. Phys. 68 423
2. Stegeman G I and Segev M 1999 Science 286 1518
3. Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y and Salomon C 2002 Science 296 1290
4. Strecker K E, Partridge G B, Truscott A G and Hulet R G 2002 Nature 417 150
5. Cornish S L, Thompson S T and Wieman C E 2006 Phys. Rev. Lett. 96 170401
6. Abdullaev F K, Gammal A, Kamchatnov A M and Tomio L 2005 Int. J. Mod. Phys. B 19 3415
7. Eiermann B, Anker Th, Albiez M, Taglieber M, Treutlein P, Marzlin K-P and Oberthaler M K 2004 Phys. Rev. Lett. 92 230401
8. Dutton Z, Budde M, Slowe C and Hau L V 2001 Science 293 663
9. Busch Thj and Anglin J R 2001 Phys. Rev. Lett. 87 010401
10. Anderson B P, Haljan P C, Regal C A, Feder D L, Collins L A, Clark C W and Cornell E A 2001 Phys. Rev. Lett. 86 2926
11. Becker C, Stellmer S, Soltan-Panahi P, Dörscher S, Baumert M, Richter E-M, Kronjäger J, Bongs K and Sengstock K 2008 Nature Phys. 4 496
12. Shrestha U, Javanainen J and Ruostekoski J 2009 Phys. Rev. Lett. 103 190401
13. Yan D, Chang J J, Hamner C, Kevrekidis P G, Engels P, Achilleos V, Frantzeskakis D J, Carretero-Gonzalez R and Schmelcher P 2011 arXiv:1104.4359
14. Buljan H, Segev M and Vardi A 2005 Phys. Rev. Lett. 95 180401
15. Al Khawaja U, Stoof H T C, Hulet R G, Strecker K E and Partridge G B 2002 Phys. Rev. Lett. 89 200404
16. Streltsov A I, Alon O E and Cederbaum L S 2011 Phys. Rev. Lett. 106 240401
17. Dabrowska-Wüster B J, Wüster S and Davis M J 2009 New J. Phys. 11 053017
18. Lai Y and Haus H A 1989 Phys. Rev. A 40 844
19. Lai Y and Haus H A 1989 Phys. Rev. A 40 854
20. Drummond P D and Carter S J 1987 J. Opt. Soc. Am. B 4 1565
21. Werner M J and Drummond P D 1997 Phys. Rev. A 56 1508
22. Fini J M, Hagelstein P L and Haus H A 1998 Phys. Rev. A 57 4842
23. Corney J F and Drummond P D 2001 J. Opt. Soc. Am. B 18 153
24. Jenkins S D, Salerno D, Minardi S, Tamosauskas G, Kennedy T A B and Di Trapani P 2005 Phys. Rev. Lett. 95 203902
25. Streltsov A I, Alon O E and Cederbaum L S 2009 Phys. Rev. A 80 043616
26. Weiss C and Castin Y 2009 Phys. Rev. Lett. 102 010403
27. Glick J A and Carr L D 2011 arXiv:1105.5164
28. Lewenstein M and Malomed B A 2009 New J. Phys. 11 113014
29. Ahufinger V and Sanpera A 2005 Phys. Rev. Lett. 94 130403
30. Lee R-K, Ostrovskaya E A, Kivshar Y S and Yinchieh L 2005 Phys. Rev. A 72 033607
31. Dyke P, Sidong L, Pollack S and Hulet R G 2012 unpublished
32. Cornish S L, Parker N G, Martin A M, Judd T E, Scott R G, Fromhold T M and Adams C S 2009 Physica D 238 1299
33. Parker N G, Martin A M, Cornish S L and Adams C S 2008 J. Phys. B: At. Mol. Opt. Phys. 41 045303
34. Drummond P D and Hardman A D 1993 Europhys. Lett. 21 279
35. Steel M J, Olsen M K, Plimak L I, Drummond P D, Tan S M, Collett M J, Walls D F and Graham R 1998 Phys. Rev. A 58 4824
36. Sinatra A, Lobo C and Castin Y 2002 J. Phys. B: At. Mol. Opt. Phys. 35 3599
37. Isella L and Ruostekoski J 2006 Phys. Rev. A 74 063625
38. Blakie P B, Bradley A S, Davis M J, Ballagh R J and Gardiner C W 2008 Adv. Phys. 57 363
39. Martin A D and Ruostekoski J 2010 Phys. Rev. Lett. 104 194102
40. Polkovnikov A 2010 Ann. Phys., NY 325 1790
41. Al Khawaja U and Stoof H T C 2011 New J. Phys. 13 085003
42. Billam T P, Cornish S L and Gardiner S A 2011 Phys. Rev. A 83 041602
43. Zakharov V E and Shabat A B 1971 Zh. Eksp. Teor. Fiz. 61 118
44. Zakharov V E and Shabat A B 1972 Sov. Phys.-JETP 34 62
45. Faddeev L D and Takhtajan L A 1987 Hamiltonian Methods in the Theory of Solitons (Berlin: Springer)
46. Martin A D, Adams C S and Gardiner S A 2008 Phys. Rev. A 77 013620
47. Efimov V V, Ivanov O V and Sementsov D I 2001 J. Opt. A: Pure Appl. Opt. 3 514
48. Gardiner C W and Zoller P 1991 Quantum Noise (Berlin: Springer)
49. Fertig C D, O'Hara K M, Huckans J H, Rolston S L, Phillips W D and Porto J V 2005 Phys. Rev. Lett. 94 120403
50. Ruostekoski J and Isella L 2005 Phys. Rev. Lett. 95 110403
51. Gross C, Estève J, Oberthaler M K, Martin A D and Ruostekoski J 2011 Phys. Rev. A 84 011609(R)
52. Isella L and Ruostekoski J 2005 Phys. Rev. A 72 011601
53. Kheruntsyan K V, Gangardt D M, Drummond P D and Shlyapnikov G V 2003 Phys. Rev. Lett. 91 040403
54. Orzel C, Tuchman A K, Fenselau M L, Yasuda M and Kasevich M A 2001 Science 291 2386
55. Gerbier F, Fölling S, Widera A, Mandel O and Bloch I 2006 Phys. Rev. Lett. 96 090401
56. Li W, Tuchman A K, Chien H-C and Kasevich M A 2007 Phys. Rev. Lett. 98 040402
57. Sebby-Strabley J, Brown B L, Anderlini M , Lee P J, Phillips W D, Porto J V and Johnson P R 2007 Phys. Rev. Lett. 98 200405
58. Estève J, Gross C, Weller A, Giovanazzi S and Oberthaler M K 2008 Nature 455 1216
59. Gemelke N, Zhang X, Hung C-L and Chin C 2009 Nature 460 995
60. Bakr W S, Peng A, Tai M E, Ma R, Simon J, Gillen J I, Fölling S, Pollet L and Greiner M 2010 Science 329 547
61. Sherson J F , Weitenberg C, Endres M, Cheneau M, Bloch I and Kuhr S 2010 Nature 467 68
62. Gross C, Zibold T, Nicklas E, Estsve J and Oberthaler M K 2010 Nature 464 1165
63. Wineland D J, Bollinger J J, Itano W M and Heinzen D J 1994 Phys. Rev. A 50 67
64. Holland M J and Burnett K 1993 Phys. Rev. Lett. 71 1355
65. Bouyer P and Kasevich M A 1997 Phys. Rev. A 56 R1083
66. Giovannetti V, Lloyd S and Maccone L 2004 Science 306 1330
67. Sørensen A, Duan L-M, Cirac J I and Zoller P 2001 Nature 409 63
68. Riedel M F, Böhi Li Y, Hänsch T W, Sinatra A and Treutlein P 2010 Nature 464 1170
69. Martin A D and Ruostekoski J 2010 New J. Phys. 12 055018
70. Zurek W H 1991 Phys. Today 44 36
71. Walls D F and Milburn G J 1985 Phys. Rev. A 31 2403
72. Anglin J 2008 Nature Phys. 4 437