Laser probing of the single-particle energy gap of a Bose gas in an optical lattice in the Mott-insulator phase

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 3, 2006, Pages

  Konabe, S ^a   Nikuni, T ^a   Nakamura, M ^a  

^a TOKYO UNIVERSITY OF SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE GAS; LASER PROBING; LUXAT AND GRIFFIN; MOTT-INSULATOR PHASE; OPTICAL LATTICE; SINGLE-PARTICLE ENERGY GAP;

ELECTRIC EXCITATION; ELECTRON TRANSITIONS; GREEN'S FUNCTION; PARTICLE SPECTROMETERS;

ENERGY GAP;

EID: 33645166988     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.033621     Document Type: Article

References (38)

1. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
2. T. Stöferle, H. Moritz, C. Schori, M. Köhl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.130403 92, 130403 (2004).
3. K. Xu, Y. Liu, J. R. Abo-Shaeer, T. Mukaiyama, J. K. Chin, D. E. Miller, W. Ketterle, K. M. Jones, and E. Tiesinga, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.043604 72, 043604 (2005).
4. R. Roth and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.031602 67, 031602 (R) (2003).
5. R. Roth and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.023604 68, 023604 (2003).
6. V. A. Kashurnikov, N. V. Prokof'ev, and B. V. Svistunov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.031601 66, 031601 (R) (2002).
7. J. Stenger, S. Inouye, A. P. Chikkatur, D. M. Stamper-Kurn, D. E. Pritchard, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.4569 82, 4569 (1999).
8. J. Steinhauer, R. Ozeri, N. Katz, and N. Davidson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.120407 88, 120407 (2002).
9. A. Griffin, Excitations in a Bose-Condensed Liquid (Cambridge University Press, New York, 1993).
10. A. Griffin, in Bose-Einstein Condensation in Atomic Gases, edited by, M. Inguscio, S. Stringari, and, C. Wieman, (Italian Physical Society Press, Bologna, 1999), p. 591.
11. D. van Oosten, D. B. M. Dickerscheid, B. Farid, P. van der Straten, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.021601 71, 021601 (R) (2005).
12. A. M. Rey, P. B. Blakie, G. Pupillo, C. J. Williams, and C. W. Clark, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.023407 72, 023407 (2005).
13. 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).
14. D. Jaksch, C. Bruder, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
15. K. Sheshadri, H. R. Krishnamurthy, R. Pandit, and T. V. Ramakrishnan, Europhys. Lett. EULEEJ 0295-5075 22, 257 (1993).
16. D. van Oosten, P. van der Straten, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.053601 63, 053601 (2001).
17. N. Elstner and H. Monien, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.12184 59, 12184 (1999).
18. T. D. Kühner and H. Monien, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.R14741 58, R14741 (1998).
19. G. G. Batrouni, R. T. Scalettar, and G. T. Zimanyi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.1765 65, 1765 (1990).
20. J. K. Freericks and H. Monien, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.2691 53, 2691 (1996).
21. A. P. Kampf and G. T. Zimanyi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.47.279 47, 279 (1993).
22. D. B. M. Dickerscheid, D. van Oosten, P. J. H. Denteneer, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.043623 68, 043623 (2003).
23. P. Buonsante and A. Vezzani, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.033608 70, 033608 (2004).
24. D. L. Luxat and A. Griffin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.043618 65, 043618 (2002).
25. S. B. Haley and P. Erdös, Phys. Rev. B PLRBAQ 0556-2805 10.1103/PhysRevB.5.1106 5, 1106 (1972).
26. G. G. Batrouni, V. Rousseau, R. T. Scalettar, M. Rigol, A. Muramatsu, P. J. H. Denteneer, and M. Troyer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.117203 89, 117203 (2002).
27. S. Wessel, F. Alet, M. Troyer, and G. G. Batrouni, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053615 70, 053615 (2004).
28. G. M. Moy, J. J. Hope, and C. M. Savage, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.3631 55, 3631 (1997).
29. Y. Japha, S. Choi, K. Burnett, and Y. B. Band, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1079 82, 1079 (1999).
30. S. Choi, Y. Japha, and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.063606 61, 063606 (2000).
31. In general, the optical lattice potential Vop′ (r) for the free state may be different from Vop (r) for the trapped state. Moreover, the optical lattice potentials Vop′ (r) and Vop (r) may be tuned independently by polarization or frequency selection, as proposed in by D. Jaksch, H. J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1975 82, 1975 (1999);
32. W. V. Liu, F. Wilczek, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.033603 70, 033603 (2004).
33. L. P. Kadanoff and G. Baym, Quantum Statistical Mechanics (Benjamin, New York, 1962), Chap..
34. E. M. Lifshitz and L. P. Pitaevskii, Statistical Physics Part 2 (Pergamon Press, Oxford, 1980), Chap..
35. D. N. Zubarev, Nonequilibrium Statistical Thermodynamics (Consultants Bureau, New York, 1974), Sec. XIV.
36. J. W. Negele and H. Orland, Quantum Many-Particle Systems (Perseus Books Group, Philadelphia, 1998).
37. S. Tsuchiya and A. Griffin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.023611 70, 023611 (2004).
38. M. Krämer, C. Tozzo, and F. Dalfovo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.061602 71, 061602 (R) (2005).