Quantum reflection of bright matter-wave solitons

Physica D: Nonlinear Phenomena

Volumn 238, Issue 15, 2009, Pages 1299-1305

  Cornish, S L ^a   Parker, N G ^b   Martin, A M ^c   Judd, T E ^d   Scott, R G ^d   Fromhold, T M ^d   Adams, C S ^a  

^a DURHAM UNIVERSITY   (United Kingdom)

^b MCMASTER UNIVERSITY   (Canada)

^c UNIVERSITY OF MELBOURNE   (Australia)

^d UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

Bose Einstein condensate; Quantum reflection; Soliton

Indexed keywords

BOSE-EINSTEIN CONDENSATION; STATISTICAL MECHANICS;

ACCURATE MEASUREMENT; ATTRACTIVE INTERACTIONS; BOSE-EINSTEIN CONDENSATES; INTERATOMIC INTERACTIONS; MATTER WAVE SOLITONS; NORMAL INCIDENCE; QUANTUM REFLECTION; REFLECTION PROBABILITY;

SOLITONS;

EID: 67349244339     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2008.07.011     Document Type: Article

References (53)

1. Dauxios T., and Peyrard M. Physics of Solitons (2006), Cambridge University Press
2. See, for example. Dalfovo F., Giorgini S., Pitaevski L.P., and Stringari S. Rev. Modern Phys. 71 (1999) 463
3. Burger S., et al. Phys. Rev. Lett. 83 (1999) 5198
4. Denschlag J., et al. Science 287 (2000) 97
5. Khaykovich L., Schreck F., Ferrari G., Bourdel T., Cubizolles J., Carr L.D., Castin Y., and Salomon C. Science 296 (2002) 1290
6. Strecker K.E., Partridge G.B., Truscott A.G., and Hulet R.G. Nature 417 (2002) 150
7. Cornish S.L., Thompson S.T., and Wieman C.E. Phys. Rev. Lett. 96 (2006) 170401
8. 87Rb condensates confined in an optical lattice,. Eiermann B., et al. Phys. Rev. Lett. 92 (2004) 230401
9. A.D. Cronin, J. Schmiedmayer, D.E. Pritchard, arXiv:0712.3703v1
10. Anderson A., Haroche S., Hinds E.A., Jhe W., Meschede D., and Moi L. Phys. Rev. A 34 (1986) 3513
11. Shimizu F. Phys. Rev. Lett. 86 (2001) 987
12. Pasquini T.A., Shin Y., Sanner C., Saba M., Schirotzek A., Pritchard D.E., and Ketterle W. Phys. Rev. Lett. 93 (2004) 223201
13. Pasquini T.A., Saba M., Jo G., Shin Y., Ketterle W., Pritchard D.E., Savas T.A., and Mulders N. Phys. Rev. Lett. 97 (2006) 093201
14. Lee C., and Brand J. Europhys. Lett. 73 (2006) 321
15. Jurisch A., and Rost J.-M. Phys. Rev. A 77 (2008) 043603
16. Adams C.S., Lee H.J., Davidson N., Kasevich M., and Chu S. Phys. Rev. Lett. 74 (1995) 3577
17. Grimm R., Weidemüller M., and Ovchinnikov Yu.B. Adv. At. Mol. Opt. Phys. 42 (2000) 95
18. Cornish S.L., Claussen N.R., Roberts J.L., Cornell E.A., and Wieman C.E. Phys. Rev. Lett. 85 (2000) 1795
19. The experiments are actually performed in three-dimensions with varying degrees of transverse confinement. Under these conditions, the axially self-trapped condensate is strictly speaking a bright solitary wave; the three-dimensional analog of the bright soliton. In line with the large body of published literature, however, we refer to these states as solitons.
20. Feshbach H. Ann. Phys. (N.Y.) 5 (1958) 357
21. Stwalley W.C. Phys. Rev. Lett. 37 (1976) 1628
22. Tiesinga E., Verhaar B.J., and Stoof H.T.C. Phys. Rev. A 47 (1993) 4114
23. Ruprecht P.A., Holland M.J., Burnett K., and Edwards M. Phys. Rev. A 51 (1995) 4704
24. Bradley C.C., Sackett C.A., Tollett J.J., and Hulet R.G. Phys. Rev. Lett. 75 (1995) 1687
25. Bradley C.C., Sackett C.A., and Hulet R.G. Phys. Rev. Lett. 78 (1997) 985
26. Roberts J.L., Claussen N.R., Cornish S.L., Donley E.A., Cornell E.A., and Wieman C.E. Phys. Rev. Lett. 86 (2001) 4211
27. Donley E.A., Claussen N.R., Cornish S.L., Roberts J.L., Cornell E.A., and Wieman C.E. Nature 412 (2001) 295
28. Lenard-Jones J.E. Trans. Faraday Soc. 28 (1932) 333
29. Casimir H.B.G., and Polder D. Phys. Rev. 73 (1948) 360
30. Mody A., Haggerty M., Doyle J.M., and Heller E.J. Phys. Rev. B 64 (2001) 085418
31. Friedrich H., Jacoby G., and Meister C.G. Phys. Rev. A 65 (2002) 032902
32. Nayak V.U., Edwards D.O., and Masuhara N. Phys. Rev. Lett. 50 (1983) 990
33. Berkhout J.J., Luiten O.J., Setija I.D., Hijmans T.W., Mizusaki T., and Walraven J.T.M. Phys. Rev. Lett. 63 (1989) 1689
34. Doyle J.M., Sandberg J.C., Yu I.A., Cesar C.L., Kleppner D., and Greytak T.J. Phys. Rev. Lett. 67 (1991) 603
35. Yu I.A., Doyle J.M., Sandberg J.C., Cesar C.L., Kleppner D., and Greytak T.J. Phys. Rev. Lett. 71 (1993) 1589
36. Scott R.G., Martin A.M., Fromhold T.M., and Sheard F.W. Phys. Rev. Lett. 95 (2005) 073201
37. Scott R.G., Hutchinson D.A.W., and Gardiner C.W. Phys. Rev. A 74 (2006) 053605
38. Landragin A., Courtois J.-Y., Labeyrie G., Vansteenkiste N., Westbrook C.I., and Aspect A. Phys. Rev. Lett. 77 (1996) 1464
39. Côté R., and Segev B. Phys. Rev. A 67 (2003) 041604R
40. Martin A.D., Adams C.S., and Gardiner S.A. Phys. Rev. Lett. 98 (2007) 020402
41. Martin A.D., Adams C.S., and Gardiner S.A. Phys. Rev. A 77 (2008) 013620
42. Aceves A.B., Molonet J.v., and Newell A.C. Phys. Rev. A 39 (1989) 1809
43. Parker N.G., Cornish S.L., Adams C.S., and Martin A.M. J. Phys. B 40 (2007) 3127
44. Parker N.G., Martin A.M., Cornish S.L., and Adams C.S. J. Phys. B 41 (2008) 045303
45. Minguzzi A., et al. Phys. Rep. 395 (2004) 223
46. Parker N., Martin A.M., Adams C.S., and Cornish S.L. Physica D 238 (2009) 1456 (this issue)
47. Parker N.G., Proukakis N.P., Leadbeater M., and Adams C.S. J. Phys. B 36 (2003) 2891
48. Proukakis N.P., Parker N.G., Frantzeskakis D.J., and Adams C.S. J. Opt. B 6 (2004) S380-S391
49. We consider silicon in order to be able to compare our results with the experimental observations of quantum reflection using a repulsive condensate [12].
50. For Δ x < 5 μ m, atom losses occur even before the reflection process begins.
51. Simulations and experiments have been performed in which the trap centre was not shifted all the way to the surface,. Günther A., Kraft S., Kemmler M., Koelle D., Kleiner R., Zimmermann C., and Fortágh J. Phys. Rev. Lett. 95 (2005) 170405
52. Günther A., Kraft S., Zimmermann C., and Fortágh J. Phys. Rev. Lett. 98 (2007) 140403 This forced the BEC to rise up the far side of the harmonic trap and hence decelerate before striking the surface. This improves control of the impact speed, but the presence of the harmonic potential remains a complicating factor and can affect the condensate's dynamics
53. Dimopoulos S., and Geraci A. Phys. Rev. D 68 (2003) 124021