Bloch oscillations and Zener breakdown in an optical lattice

Journal of Optics B: Quantum and Semiclassical Optics

Volumn 2, Issue 5, 2000, Pages 589-604

  Holthaus, Martin ^a,b  

^a UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSITY OF OLDENBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATOMIC PHYSICS; BAND STRUCTURE; EIGENVALUES AND EIGENFUNCTIONS; ZENER EFFECT;

BLOCH OSCILLATIONS; BOSE-EINSTEIN CONDENSATES; MEAN FIELD APPROXIMATION; OPTICAL LATTICE; ULTRACOLD ATOMS; WEAK BINDING APPROXIMATION;

QUANTUM OPTICS;

EID: 0034296839     PISSN: 14644266     EISSN: None     Source Type: Journal    
DOI: 10.1088/1464-4266/2/5/306     Document Type: Article

References (67)

1. Kazantsev A P, Surdutovich G I and Yakovlev V P 1990 Mechanical Action of Light on Atoms (Singapore: World Scientific)
2. Graham R, Schlautmann M and Zoller P 1992 Phys. Rev. A 45 R19
3. Drese K and Holthaus M 1997 Chem. Phys. 217 201
4. Moore F L, Robinson J C, Bharucha C, Williams P E and Raizen M G 1994 Phys. Rev. Lett. 73 2974
5. Bardroff P J, Bialynicki-Birula I, Krähmer D S, Kurizki G, Mayr E, Stifter P and Schleich W P 1995 Phys. Rev. Lett. 74 3959
6. Birkl G, Gatzke M, Deutsch I H, Rolston S L and Phillips W D 1995 Phys. Rev. Lett. 75 2823
7. Weidemüller M, Hemmerich A, Görlitz A, Esslinger T and Hänsch T W 1995 Phys. Rev. Lett. 75 4583
8. Raithel G, Birkl G, Kastberg A, Phillips W D and Rolston S L 1997 Phys. Rev. Lett. 78 630
9. Görlitz A, Weidemüller M, Hänsch T W and Hemmerich A Phys. Rev. Lett. 78 2096
10. Rudy P, Ejnisman R and Bigelow N P 1997 Phys. Rev. Lett. 78 4906
11. Deutsch I H and Jessen P S 1998 Phys. Rev. A 57 1972
12. Dutta S K, Teo B K and Raithel G 1999 Phys. Rev. Lett. 83 1934
13. Brennen G K, Caves C M, Jessen P S and Deutsch I H 1999 Phys. Rev. Lett. 82 1060
14. Müller-Seydlitz T, Hartl M, Brezger B, Hänsel H, Keller C, Schnetz A, Spreeuw R J C, Pfau T and Mlynek J 1997 Phys. Rev. Lett. 78 1038
15. Friebel S, D'Andrea C, Walz J, Weitz M and Hänsch T W 1998 Phys. Rev. A 57 R20
16. Wilkinson S R, Bharucha C F, Madison K W, Niu Q and Raizen M G 1996 Phys. Rev. Lett. 76 4512
17. Ben Dahan M, Peik E, Reichel J, Castin Y and Salomon C 1996 Phys. Rev. Lett. 76 4508
18. Peik E, Ben Dahan M, Bouchoule I, Castin Y and Salomon C 1991 Phys. Rev. A 55 2989
19. Fischer M C, Madision K W, Niu Q and Raizen M G 1998 Phys. Rev. A 58 R2648
20. Madison K W, Fischer M C, Diener R B, Niu Q and Raizen M G 1998 Phys. Rev. Lett. 81 5093
21. Madison K W, Fischer M C and Raizen M G 1999 Phys. Rev. A 60 R1767
22. Niu Q and Raizen M G 1998 Phys. Rev. Lett. 80 3491
23. Bharucha C F, Madison K W, Morrow P R, Wilkinson S R, Sundaram B and Raizen M G 1997 Phys. Rev. A 55 R857
24. Wilkinson S R, Bharucha C F, Fischer M C, Madison K W, Morrow P R, Niu Q, Sundaram B and Raizen M G 1997 Nature 387 575
25. Anderson B P and Kasevich M A 1998 Science 282 1686
26. Jones H and Zener C 1934 Proc. R. Soc. A 144 101
27. Bloch F 1928 Z. Phys. 52 555
28. Abramowitz M and Stegun I A (ed) 1972 Handbook of Mathematical Functions (New York: Dover)
29. Holthaus M and Hone D W 1996 Phil. Mag. B 74 105
30. Zener C 1934 Proc. R. Soc. A 145 523 (reprinted in [31])
31. Mattis D C (ed) 1993 The Many-Body Problem (Singapore: World Scientific)
32. Kohn W 1959 Phys. Rev. 115 809 (reprinted in [31])
33. Dykhne A M 1961 J. Exp. Theor. Phys. (USSR) 41 1324 Dykhne A M 1962 Sov. Phys.-JETP 14 941
34. Dykhne A M 1961 J. Exp. Theor. Phys. (USSR) 41 1324 Dykhne A M 1962 Sov. Phys.-JETP 14 941
35. Davis J P and Pechukas P 1976 J. Chem. Phys. 64 3129
36. Ignatov A A, Renk K F and Dodin E P 1993 Phys. Rev. Lett. 70 1996
37. Feldmann J, Leo K, Shah J, Miller D A B, Cunningham J E, Meier T, von Plessen G, Schulze A, Thomas P and Schmitt-Rink S 1992 Phys. Rev. B 46 7252
38. Waschke C, Roskos H G, Schwedler R, Leo K, Kurz H and Köhler K 1993 Phys. Rev. Lett. 70 3319
39. Bouchard A M and Luban M 1993 Phys. Rev. B 47 6815
40. Bouchard A M and Luban M 1995 Phys. Rev. B 52 5105
41. Reynolds J P and Luban M 1996 Phys. Rev. B 54 R14 301
42. Esaki L and Tsu R 1970 IBM J. Res. Dev. 14 61
43. Wannier G H 1960 Phys. Rev. 117 432
44. Gamow G 1931 Constitution of Atomic Nuclei and Radioactivity (London: Oxford University Press)
45. Baym G 1969 Lectures on Quantum Mechanics (Menlo Park: Benjamin-Cummings)
46. Drese K and Holthaus M 1998 Eur. Phys. J. D 3 73
47. Berry M V and Lim R 1993 J. Phys. A: Math. Gen. 26 4737
48. Landau L 1932 Phys. Z. Sowjetunion 2 46
49. Zener C 1932 Proc. R. Soc. A 137 696
50. Stueckelberg E C G 1932 Helv. Phys. Acta 5 369
51. Whittaker E T and Watson G N 1962 A Course of Modern Analysis (Cambridge: Cambridge University Press) chapter 16.5
52. Lim R and Berry M V 1991 J. Phys. A: Math. Gen. 24 3255
53. Nozières P and Pines D 1990 The Theory of Quantum Liquids vol 2 (Redwood City: Addison-Wesley)
54. Ruprecht P A, Holland M J, Burnett K and Edwards M 1995 Phys. Rev. A 51 4704
55. Deng L, Hagley E W, Wen J, Trippenbach M, Band Y, Julienne P S, Simsarian J E, Helmerson K, Rolston S L and Phillips W D 1999 Nature 398 218
56. Williams J E and Holland M J 1999 Nature 401 568
57. Hagley E W et al 1999 Phys. Rev. Lett. 83 3112
58. Huang K and Yang C N 1957 Phys. Rev. 105 767
59. Zaremba E 1998 Phys. Rev. A 57 518
60. Kavoulakis G M and Pethick C J 1998 Phys. Rev. A 58 1563
61. Berg-Sørensen K and Mølmer K 1998 Phys. Rev. A 58 1480
62. Choi Dae-Il and Niu Q 1999 Phys. Rev. Lett. 82 2022
63. Ketterle W, Durfee D S and Stamper-Kurn D M 1999 Proc. Int. School of Physics Enrico Fermi Course CXL ed M Inguscio, S Stringari and C E Wieman (Amsterdam: IOS) (Ketterle W, Durfee D S and Stamper-Kurn D M 1999 Preprint cond-mat/9904034)
64. Wan Y and Soukoulis C M 1990 Phys. Rev. A 41 800
65. Scharf R and Bishop A R 1991 Phys. Rev. A 43 6535
66. Cai D, Bishop A R, Grønbech-Jensen N and Salerno M 1995 Phys. Rev. Lett. 74 1186
67. Jaksch D, Bruder C, Cirac J I, Gardiner C W and Zoller P 1998 Phys. Rev. Lett. 81 3108