Cold atoms and molecules in self-assembled dipolar lattices

Physical Review Letters

Volumn 100, Issue 5, 2008, Pages

  Pupillo, G ^a,b   Griessner, A ^a,b   Micheli, A ^a,b   Ortner, M ^a,b   Wang, D W ^c   Zoller, P ^a,b  

^a UNIVERSITY OF INNSBRUCK   (Austria)

^b ERICH SCHMID INSTITUTE OF MATERIALS SCIENCE   (Austria)

^c NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

DIPOLE MOMENT; MATHEMATICAL MODELS; MOLECULES; PHONONS;

COLD ATOMS; DIPOLAR LATTICES; QUANTUM DYNAMICS;

ATOMS;

EID: 38949146433     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.100.050402     Document Type: Article

References (37)

1. See, e.g., M. Lewenstein, Adv. Phys. ADPHAH 0001-8732 56, 243 (2007); 10.1080/00018730701223200
2. D. Jaksch and P. Zoller, Ann. Phys. (N.Y.) APNYA6 0003-4916 315, 52 (2005). 10.1016/j.aop.2004.09.010
3. H.P. Büchler, Phys. Rev. Lett. 98, 060404 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.98.060404
4. G.E. Astrakharchik, Phys. Rev. Lett. 98, 060405 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.98.060405
5. R. Citro, Phys. Rev. A 75, 051602(R) (2007); PLRAAN 1050-2947 10.1103/PhysRevA.75.051602
6. A. Micheli, Phys. Rev. A 76, 043604 (2007); PLRAAN 1050-2947 10.1103/PhysRevA.76.043604
7. P. Rabl and P. Zoller, Phys. Rev. A 76, 042308 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.76.042308
8. D. Wang, Phys. Rev. Lett. PRLTAO 0031-9007 93, 243005 (2004); 10.1103/PhysRevLett.93.243005
9. J.M. Sage, Phys. Rev. Lett. PRLTAO 0031-9007 94, 203001 (2005); 10.1103/PhysRevLett.94.203001
10. T. Rieger, Phys. Rev. Lett. PRLTAO 0031-9007 95, 173002 (2005); 10.1103/PhysRevLett.95.173002
11. S. Hoekstra, Phys. Rev. Lett. PRLTAO 0031-9007 98, 133001 (2007); 10.1103/PhysRevLett.98.133001
12. W.C. Campbell, Phys. Rev. Lett. PRLTAO 0031-9007 98, 213001 (2007); 10.1103/PhysRevLett.98.213001
13. B.C. Sawyer, Phys. Rev. Lett. PRLTAO 0031-9007 98, 253002 (2007). 10.1103/PhysRevLett.98.253002
14. R.K. Kalia and P. Vashishta, J. Phys. C 14, L643 (1981). JPSOAW 0022-3719 10.1088/0022-3719/14/22/002
15. G.D. Mahan, Many Particle Physics (Kluwer Academic/Plenum Publishers, New York, 2000).
16. This antiadiabatic regime is hard to achieve in atom-atom mixtures, see, e.g., F. Illuminati and A. Albus, Phys. Rev. Lett. 93, 090406 (2004); PRLTAO 0031-9007 10.1103/PhysRevLett.93.090406
17. D.-W. Wang, M.D. Lukin, and E. Demler, Phys. Rev. A 72, 051604(R) (2005). PLRAAN 1050-2947 10.1103/PhysRevA.72.051604
18. A.S. Alexandrov, Theory of Superconductivity (Institute of Physics Publishing, Philadelphia, 2003).
19. H.J. Carmichael, Statistical Methods in Quantum Optics 1 (Springer-Verlag, Berlin, 1999).
20. Corrections to Eq. 3 proportional to J2 are small relative to H in 1D both for ST=0 S0 1 and S0 1, provided J ωD and J Ep, respectively. For single-frequency phonons, see: S. Datta, A. Das, and S. Yarlagadda, Phys. Rev. B PRBMDO 0163-1829 71, 235118 (2005). 10.1103/PhysRevB.71.235118
21. M. Ortner (to be published).
22. For 1D models within a Luttinger liquid formalism, see e.g., L. Mathey, Phys. Rev. Lett. PRLTAO 0031-9007 93, 120404 (2004). 10.1103/PhysRevLett.93. 120404
23. H.P. Büchler, A. Micheli, and P. Zoller, Nature Phys. 3, 726 (2007). NPAHAX 1745-2481 10.1038/nphys678
24. gcp is tunable via Feshbach resonances in acp, or confinement induced resonances, see M. Olshanii, Phys. Rev. Lett. 81, 938 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.81.938
25. E.L. Bolda, E. Tiesinga, and P.S. Julienne, Phys. Rev. A 66, 013403 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.66.013403
26. K. Goral, L. Santos, and M. Lewenstein, Phys. Rev. Lett. 88, 170406 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.88.170406
27. R. Barnett, Phys. Rev. Lett. 96, 190401 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.96.190401
28. E.G. Dalla Torre, E. Berg, and E. Altman, Phys. Rev. Lett. 97, 260401 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.260401
29. M.A. Baranov, Phys. Rev. Lett. 94, 070404 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.94.070404
30. D.S. Petrov, Phys. Rev. Lett. 99, 130407 (2007); PRLTAO 0031-9007 10.1103/PhysRevLett.99.130407
31. M.A. Baranov, H. Fehrmann, and M. Lewenstein, arXiv:cond-mat/0612592.
32. L.-M. Duan, E. Demler, and M.D. Lukin, Phys. Rev. Lett. 91, 090402 (2003); PRLTAO 0031-9007 10.1103/PhysRevLett.91.090402
33. V. Scarola and S. Das Sarma, Phys. Rev. Lett. 95, 033003 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.95.033003
34. M. Bruderer, Phys. Rev. A 76, 011605 (R) (2007). PLRAAN 1050-2947 10.1103/PhysRevA.76.011605
35. J.E. Hirsch and E. Fradkin, Phys. Rev. B PRBMDO 0163-1829 27, 4302 (1983); 10.1103/PhysRevB.27.4302
36. P. Niyaz, Phys. Rev. B PRBMDO 0163-1829 50, 362 (1994). 10.1103/PhysRevB.50.362
37. G.G. Batrouni, F. Hebert, and R.T. Scalettar, Phys. Rev. Lett. 97, 087209 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.087209