Characterization and control of phase fluctuations in elongated Bose-Einstein condensates

Applied Physics B: Lasers and Optics

Volumn 76, Issue 2, 2003, Pages 165-172

  Kreutzmann, H ^a   Sanpera, A ^a   Santos, L ^a   Lewenstein, M ^a   Hellweg, D ^b   Cacciapuoti, L ^b   Kottke, M ^b   Schulte, T ^b   Sengstock, K ^c   Arlt, J J ^b   Ertmer, W ^b  

^a LEIBNIZ UNIVERSITY HANNOVER   (Germany)

^b INSTITUT FÜR QUANTENOPTIK   (Germany)

^c UNIVERSITY OF HAMBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

INTERFEROMETRY; PARTICLE OPTICS; PERTURBATION TECHNIQUES; PHASE MODULATION;

PHASE FLUCTUATIONS;

GAS CONDENSATES;

EID: 0037312631     PISSN: 09462171     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00340-002-1074-6     Document Type: Conference Paper

References (48)

1. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell: Science 269, 198 (1995); K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle: Phys. Rev. Lett. 75, 3969 (1995); C.C. Bradley, C.A. Sackett, R.G. Hulet: Phys. Rev. Lett. 78, 985 (1997); D. Fried, T.C. Killian, L. Willmann, D. Landhuis, S.C. Moss, D. Kleppner, T.J. Greytak: Phys. Rev. Lett. 81, 3811 (1998)
2. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell: Science 269, 198 (1995); K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle: Phys. Rev. Lett. 75, 3969 (1995); C.C. Bradley, C.A. Sackett, R.G. Hulet: Phys. Rev. Lett. 78, 985 (1997); D. Fried, T.C. Killian, L. Willmann, D. Landhuis, S.C. Moss, D. Kleppner, T.J. Greytak: Phys. Rev. Lett. 81, 3811 (1998)
3. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell: Science 269, 198 (1995); K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle: Phys. Rev. Lett. 75, 3969 (1995); C.C. Bradley, C.A. Sackett, R.G. Hulet: Phys. Rev. Lett. 78, 985 (1997); D. Fried, T.C. Killian, L. Willmann, D. Landhuis, S.C. Moss, D. Kleppner, T.J. Greytak: Phys. Rev. Lett. 81, 3811 (1998)
4. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell: Science 269, 198 (1995); K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle: Phys. Rev. Lett. 75, 3969 (1995); C.C. Bradley, C.A. Sackett, R.G. Hulet: Phys. Rev. Lett. 78, 985 (1997); D. Fried, T.C. Killian, L. Willmann, D. Landhuis, S.C. Moss, D. Kleppner, T.J. Greytak: Phys. Rev. Lett. 81, 3811 (1998)
5. A. Görlitz, J.M. Vogels, A.E. Leanhardt, C. Raman, T.L. Gustavson, J.R. Abo-Shaeer, A.P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, W. Ketterle: Phys. Rev. Lett. 87, 130 402 (2001); A.I. Safonov, S.A. Vasilyev, I.S. Yasnikov, I.I. Lukashevich, S. Jaakkola: Phys. Rev. Lett. 81, 4545 (1998); M. Greiner, I. Bloch, O. Mandel, T.W. Hänsch, T. Esslinger: Phys. Rev. Lett. 87, 160 405 (2001); I. Bouchoule, M. Morinaga, C. Salomon, D.S. Petrov: Phys. Rev. A 65, 033402 (2002); S. Burger, F.S. Cataliotti, C. Fort, P. Maddaloni, F. Minardi, M. Inguscio: Eur. Phys. Lett. 57, 1 (2002)
6. A. Görlitz, J.M. Vogels, A.E. Leanhardt, C. Raman, T.L. Gustavson, J.R. Abo-Shaeer, A.P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, W. Ketterle: Phys. Rev. Lett. 87, 130 402 (2001); A.I. Safonov, S.A. Vasilyev, I.S. Yasnikov, I.I. Lukashevich, S. Jaakkola: Phys. Rev. Lett. 81, 4545 (1998); M. Greiner, I. Bloch, O. Mandel, T.W. Hänsch, T. Esslinger: Phys. Rev. Lett. 87, 160 405 (2001); I. Bouchoule, M. Morinaga, C. Salomon, D.S. Petrov: Phys. Rev. A 65, 033402 (2002); S. Burger, F.S. Cataliotti, C. Fort, P. Maddaloni, F. Minardi, M. Inguscio: Eur. Phys. Lett. 57, 1 (2002)
7. A. Görlitz, J.M. Vogels, A.E. Leanhardt, C. Raman, T.L. Gustavson, J.R. Abo-Shaeer, A.P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, W. Ketterle: Phys. Rev. Lett. 87, 130 402 (2001); A.I. Safonov, S.A. Vasilyev, I.S. Yasnikov, I.I. Lukashevich, S. Jaakkola: Phys. Rev. Lett. 81, 4545 (1998); M. Greiner, I. Bloch, O. Mandel, T.W. Hänsch, T. Esslinger: Phys. Rev. Lett. 87, 160 405 (2001); I. Bouchoule, M. Morinaga, C. Salomon, D.S. Petrov: Phys. Rev. A 65, 033402 (2002); S. Burger, F.S. Cataliotti, C. Fort, P. Maddaloni, F. Minardi, M. Inguscio: Eur. Phys. Lett. 57, 1 (2002)
8. A. Görlitz, J.M. Vogels, A.E. Leanhardt, C. Raman, T.L. Gustavson, J.R. Abo-Shaeer, A.P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, W. Ketterle: Phys. Rev. Lett. 87, 130 402 (2001); A.I. Safonov, S.A. Vasilyev, I.S. Yasnikov, I.I. Lukashevich, S. Jaakkola: Phys. Rev. Lett. 81, 4545 (1998); M. Greiner, I. Bloch, O. Mandel, T.W. Hänsch, T. Esslinger: Phys. Rev. Lett. 87, 160 405 (2001); I. Bouchoule, M. Morinaga, C. Salomon, D.S. Petrov: Phys. Rev. A 65, 033402 (2002); S. Burger, F.S. Cataliotti, C. Fort, P. Maddaloni, F. Minardi, M. Inguscio: Eur. Phys. Lett. 57, 1 (2002)
9. A. Görlitz, J.M. Vogels, A.E. Leanhardt, C. Raman, T.L. Gustavson, J.R. Abo-Shaeer, A.P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, W. Ketterle: Phys. Rev. Lett. 87, 130 402 (2001); A.I. Safonov, S.A. Vasilyev, I.S. Yasnikov, I.I. Lukashevich, S. Jaakkola: Phys. Rev. Lett. 81, 4545 (1998); M. Greiner, I. Bloch, O. Mandel, T.W. Hänsch, T. Esslinger: Phys. Rev. Lett. 87, 160 405 (2001); I. Bouchoule, M. Morinaga, C. Salomon, D.S. Petrov: Phys. Rev. A 65, 033402 (2002); S. Burger, F.S. Cataliotti, C. Fort, P. Maddaloni, F. Minardi, M. Inguscio: Eur. Phys. Lett. 57, 1 (2002)
10. M. Olshanii: Phys. Rev. Lett. 81, 938 (1998); G.V. Shlyapnikov: C.R. Acad. Sci. Ser. IV Phys. Astrophys. 2, 407 (2001); see also [8, 18]
11. M. Olshanii: Phys. Rev. Lett. 81, 938 (1998); G.V. Shlyapnikov: C.R. Acad. Sci. Ser. IV Phys. Astrophys. 2, 407 (2001); see also [8, 18]
12. L. Tonks: Phys. Rev. 50, 955 (1936); M. Girardeau: J. Math. Phys. 1, 516 (1960); M. Girardeau, E.M. Wright: Laser Phys. 12, 8 (2002)
13. L. Tonks: Phys. Rev. 50, 955 (1936); M. Girardeau: J. Math. Phys. 1, 516 (1960); M. Girardeau, E.M. Wright: Laser Phys. 12, 8 (2002)
14. L. Tonks: Phys. Rev. 50, 955 (1936); M. Girardeau: J. Math. Phys. 1, 516 (1960); M. Girardeau, E.M. Wright: Laser Phys. 12, 8 (2002)
15. K. Bongs, S. Burger, S. Dettmer, D. Hellweg, J. Arlt, W. Ertmer, K. Sengstock: Phys. Rev. A 63, 031602 (2001)
16. J. Denschlag, D. Cassettari, J. Schmiedmayer: Phys. Rev. Lett. 82, 2014 (1999); J. Reichel, W. Hänsel, T.W. Hänsch: Phys. Rev. Lett. 83, 3398 (1999); D. Müller, D.Z. Anderson, R.J. Grow, P.D.D. Schwindt, E.A. Cornell: Phys. Rev. Lett. 83, 5194 (1999)
17. J. Denschlag, D. Cassettari, J. Schmiedmayer: Phys. Rev. Lett. 82, 2014 (1999); J. Reichel, W. Hänsel, T.W. Hänsch: Phys. Rev. Lett. 83, 3398 (1999); D. Müller, D.Z. Anderson, R.J. Grow, P.D.D. Schwindt, E.A. Cornell: Phys. Rev. Lett. 83, 5194 (1999)
18. J. Denschlag, D. Cassettari, J. Schmiedmayer: Phys. Rev. Lett. 82, 2014 (1999); J. Reichel, W. Hänsel, T.W. Hänsch: Phys. Rev. Lett. 83, 3398 (1999); D. Müller, D.Z. Anderson, R.J. Grow, P.D.D. Schwindt, E.A. Cornell: Phys. Rev. Lett. 83, 5194 (1999)
19. W. Hänsel, P. Hommelhoff, T.W. Hänsch, J. Reichel: Nature 413, 498 (2001); H. Ott, J. Fortagh, G. Schlotterbeck, A. Grossmann, C. Zimmermann: Phys. Rev. Lett. 87, 230401 (2001)
20. W. Hänsel, P. Hommelhoff, T.W. Hänsch, J. Reichel: Nature 413, 498 (2001); H. Ott, J. Fortagh, G. Schlotterbeck, A. Grossmann, C. Zimmermann: Phys. Rev. Lett. 87, 230401 (2001)
21. 8 D.S. Petrov, G.V. Shlyapnikov, J.T.M. Walraven: Phys. Rev. Lett. 85, 3745 (2000)
22. D.S. Petrov, G.V. Shlyapnikov, J.T.M. Walraven: Phys. Rev. Lett. 87, 050404 (2001)
23. F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari: Rev. Mod. Phys. 71, 463 (1999)
24. Y. Castin et al.: J. Mod. Opt. 47, 2671 (2000)
25. S. Dettmer, D. Hellweg, P. Ryytty, J.J. Arlt, W. Ertmer, K. Sengstock, D.S. Petrov, G.V. Shlyapnikov, H. Kreutzmann, L. Santos, M. Lewenstein: Phys. Rev. Lett. 87, 160406 (2001)
26. D. Hellweg, S. Dettmer, P. Ryytty, J.J. Arlt, W. Ertmer, K. Sengstock, D.S. Petrov, G.V. Shlyapnikov, H. Kreutzmann, L. Santos, M. Lewenstein: Appl. Phys. B 73, 781 (2001)
27. J.J. García-Ripoll, V. Pérez-García, P. Torres: Phys. Rev. Lett. 83, 1715 (1999); J.J.G. Ripoll, V.M. Pérez-Garcfa: Phys. Rev. A 59, 2220 (1999)
28. J.J. García-Ripoll, V. Pérez-García, P. Torres: Phys. Rev. Lett. 83, 1715 (1999); J.J.G. Ripoll, V.M. Pérez-Garcfa: Phys. Rev. A 59, 2220 (1999)
29. P.O. Kevrekidis, A.R. Bishop, K.Ø. Rasmussen: J. Low Temp. Phys. 120, 205 (2000)
30. K. Staliunas, S. Longhi, G.J. de Valcarcel: cond-mat/0204517
31. D.S. Jin, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell: Phys. Rev. Lett. 77, 420 (1996); M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.M. Kurn, D.S. Durfee, C.G. Townsend, W. Ketterle: Phys. Rev. Lett. 77, 988 (1996)
32. D.S. Jin, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell: Phys. Rev. Lett. 77, 420 (1996); M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.M. Kurn, D.S. Durfee, C.G. Townsend, W. Ketterle: Phys. Rev. Lett. 77, 988 (1996)
33. D.S. Petrov, M. Holzmann, G.V. Shlyapnikov: Phys. Rev. Lett. 84, 2551 (2000)
34. V.N. Popov: Functional Integrals in Quantum Field Theory and Statistical Physics (Reidel, Dordrecht 1983)
35. S.I. Shevchenko: Sov. J. Low Temp. Phys. 18, 223 (1992)
36. S. Stringari: Phys. Rev. A 58, 2385 (1998)
37. Y. Kagan, E.L. Surkov, G.V. Shlyapnikov: Phys. Rev. A 54, R1753 ( 1996)
38. Y. Castin, R. Dum: Phys. Rev. Lett. 77, 5315 (1996)
39. 24 Note that (8) was misprinted in [13] and that the correct equation is given here
40. M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.M. Kurn, D.S. Durfee, W. Ketterle: Phys. Rev. Lett. 77, 416 (1996)
41. W. Ketterle, H.-J. Miesner: Phys. Rev. A 56, 3291 (1997)
42. M.J. Holland, D.S. Jin, M.L. Chiofalo, J. Cooper: Phys. Rev. Lett. 78, 3801 (1997)
43. M. Cartmell: Introduction to Linear, Parametric and Nonlinear Vibrations (Chapman and Hall, London 1990); L.D. Landau, E.M. Lifshitz: Course of Theoretical Physics, Vol. 1 (Pergamon Press, Oxford 1969)
44. M. Cartmell: Introduction to Linear, Parametric and Nonlinear Vibrations (Chapman and Hall, London 1990); L.D. Landau, E.M. Lifshitz: Course of Theoretical Physics, Vol. 1 (Pergamon Press, Oxford 1969)
45. W. Ketterle, N.J. van Druten: Phys. Rev. A 54, 656 (1996)
46. T.L. Ho, M. Ma: J. Low Temp. Phys. 115, 61 (1999)
47. P.A. Ruprecht, M. Edwards, K. Burnett, C.W. Clark: Phys. Rev. A 54, 4178 (1996); M. Brewczyk, K. Rza̧żewski, C.W. Clark: Phys. Rev. A 75, 488 (1998)
48. P.A. Ruprecht, M. Edwards, K. Burnett, C.W. Clark: Phys. Rev. A 54, 4178 (1996); M. Brewczyk, K. Rza̧żewski, C.W. Clark: Phys. Rev. A 75, 488 (1998)