Quantum phase-space picture of Bose-Einstein condensates in a double well

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 71, Issue 2, 2005, Pages

  Mahmud, Khan W ^a,b   Perry, Heidi ^a,c   Reinhardt, William P ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

^c Och Spine at New York Presbyterian Hospitals   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); EIGENVALUES AND EIGENFUNCTIONS; PHASE SPACE METHODS; ROTORS;

BOSE-EINSTEIN CONDENSATE (BEC); ENERGY CORRELATION DIAGRAM; HUSIMI DISTRIBUTION FUNCTION; WAVE PACKET;

SEMICONDUCTOR QUANTUM WELLS;

EID: 33344463427     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.71.023615     Document Type: Article

References (44)

1. A. J. Leggett, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.307 73, 307 (2001).
2. C. Orzel, A. K. Tuchman, M. L. Fensclau, M. Yasuda, and M. A. Kasevich, Science SCIEAS 0036-8075 10.1126/science.1058149 291, 2386 (2001).
3. M. Greiner, O. Mandel, T. Esslinger, T. W. Hansch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
4. G. J. Milburn, J. Corney, E. M. Wright, and D. F. Walls, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.4318 55, 4318 (1997).
5. R. W. Spekkens and J. E. Sipe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.3868 59, 3868 (1999).
6. B. Josephson, Phys. Lett. PHLTAM 0031-9163 10.1016/0031-9163(62)91369-0 1, 251 (1962).
7. M. R. Andrews, C. G. Townsend, H.-J. Miesner, D. S. Durfee, D. M. Kurn, and W. Ketterle, Science SCIEAS 0036-8075 10.1126/science.275.5300.637 275, 637 (1997).
8. P. W. Anderson, in Lectures on the Many-Body Problem, edited by, E. R. Caianiello, (Academic, New York, 1964), Vol. 2.
9. D. R. Tilley and J. Tilley, Superfluidity and Superconductivity (Institute of Physics, Bristol, 1990).
10. A. Smerzi, S. Fantoni, S. Giovanazzi, and S. R. Shenoy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.4950 79, 4950 (1997);
11. S. Raghavan, A. Smerzi, S. Fantoni, and S. R. Shenoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.620 59, 620 (1999).
12. W. P. Reinhardt and H. Perry, in Fundamental World in Quantum Chemistry, edited by, E. J. Brandas, and, E. S. Kryachko, (Kluwer, Dordrecht, 2003), Vol. 2, Chap..
13. K. Husimi, Proc. Physico-Math. Soc. Japan 22, 264 (1940);
14. H. Lee, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(95)00007-4 259, 147 (1995).
15. W. K. Hensinger, Nature (London) NATUAS 0028-0836 10.1038/35083510 412, 52 (2001).
16. G. L. Salmond, C. A. Holmes, and G. J. Milburn, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.033623 65, 033623 (2002).
17. J. A. Dunningham, K. Burnett, and M. Edwards, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.015601 64, 015601 (2001).
18. J. R. Friedman, V. Patel, W. Chen, S. K. Tolpygo, and J. E. Lukens, Nature (London) NATUAS 0028-0836 10.1038/35017505 406, 43 (2000);
19. C. H. van der Wal, Science SCIEAS 0036-8075 10.1126/science.290.5492.773 290, 773 (2000).
20. J. I. Cirac, M. Lewenstein, K. Molmer, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.1208 57, 1208 (1998);
21. D. Gordon and C. M. Savage, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.4623 59, 4623 (1999).
22. J. A. Dunningham and K. Burnett, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340110068535 48, 1837 (2001).
23. A. Polkovnikov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.033609 68, 033609 (2003);
24. A. Polkovnikov, S. Sachdev, and S. M. Girvin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.053607 66, 053607 (2002).
25. A. Micheli, D. Jaksch, J. I. Cirac, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.013607 67, 013607 (2003).
26. M. P. A. Fisher, P. B. Weichman, G. Grinstein, and D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.546 40, 546 (1989).
27. J. R. Anglin, P. Drummond, and A. Smerzi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.063605 64, 063605 (2001).
28. C. W. Gardiner and P. Zoller, Quantum Noise (Springer, Berlin, 2000).
29. R. Loudon, The Quantum Theory of Light (Oxford, London, 1973).
30. A. Perelomov, Generalized Coherent States and Their Applications (Springer, Berlin, 1986).
31. K. W. Mahmud, J. N. Kutz, and W. P. Reinhardt, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.063607 66, 063607 (2002);
32. R. D'Agosta and C. Presilla, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043609 65, 043609 (2002).
33. E. Schrödinger, Collected Papers on Wave Mechanics (Chelsea, New York, 1982).
34. E. M. Wright, D. F. Walls, and J. C. Garrison, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.2158 77, 2158 (1996).
35. M. Greiner, O. Mandel, T. Esslinger, T. W. Hansch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature00968 419, 51 (2002).
36. J. C. Ross and H. W. Capel, Physica A PHYADX 0378-4371 77, 2158 (1996).
37. M. J. Davis and E. J. Heller, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.441832 75, 246 (1981).
38. K. Takahashi, Prog. Theor. Phys. Suppl. PTPSEP 0375-9687 98, 109 (1989).
39. J. Denschlag, Science SCIEAS 0036-8075 10.1126/science.287.5450.97 287, 97 (2000);
40. S. Burger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.5198 83, 5198 (1999).
41. P. J. Y. Louis, P. M. R. Brydon, and C. M. Savage, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.053613 64, 053613 (2001).
42. E. A. Burt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.337 79, 337 (1997).
43. A. Montina and F. T. Arecchi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.023616 67, 023616 (2003).
44. K. W. Mahmud, H. Perry, and W. P. Reinhardt, J. Phys. B JPAPEH 0953-4075 36, L265 (2003).