Bosonic molecules in rotating traps

Physical Review Letters

Volumn 97, Issue 9, 2006, Pages

  Romanovsky, Igor ^a   Yannouleas, Constantine ^a   Baksmaty, Leslie O ^a   Landman, Uzi ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CRYSTAL STRUCTURE; ELECTRON ENERGY LEVELS; ELECTRON TRAPS; GROUND STATE; ROTATION; VORTEX FLOW;

GROSS PITAEVSKII (GP) MEAN FIELD; ROTATING BOSON MOLECULES (RBM); ROTATING TRAPS; WAVE FUNCTION;

MOLECULAR DYNAMICS;

EID: 33748647046     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.97.090401     Document Type: Article

References (20)

1. S.L. Cornish, Phys. Rev. Lett. 85, 1795 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.1795
2. M. Greiner, Nature (London) 415, 39 (2002). NATUAS 0028-0836 10.1038/415039a
3. B. Paredes, Nature (London) NATUAS 0028-0836 429, 277 (2004). 10.1038/nature02530
4. G.T. Kinoshita, T. Wenger, and D.S. Weiss, Science 305, 1125 (2004). SCIEAS 0036-8075 10.1126/science.1100700
5. M.D. Girardeau and E.M. Wright, Laser Phys. 12, 8 (2002). LAPHEJ 1054-660X
6. V. Dunjko, Phys. Rev. Lett. 86, 5413 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.5413
7. I. Romanovsky, C. Yannouleas, and U. Landman, Phys. Rev. Lett. 93, 230405 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.230405
8. C. Yannouleas and U. Landman, Phys. Rev. B PRBMDO 0163-1829 68, 035326 (2003). 10.1103/PhysRevB.68.035326
9. C. Yannouleas and U. Landman, Phys. Rev. B PRBMDO 0163-1829 70, 235319 (2004); 10.1103/PhysRevB.70.235319
10. Y.S. Li, C. Yannouleas, and U. Landman, Phys. Rev. B PRBMDO 0163-1829 73, 075301 (2006). 10.1103/PhysRevB.73.075301
11. The single-particle wave function in Eq. 1 and the many-body projected wave function in Eq. 3 contain contributions from higher Landau levels. These wave functions belong exclusively to the lowest Landau level (LLL) only in the limit when λ=2lB in the case of a magnetic field, or λ=2lΩ and Ω/ω0=1 in the case of a rotating trap. LLL investigations of neutral bosons using exact diagonalization (EXD) techniques have attempted to introduce analogies with the liquidlike bosonic Laughlin and composite-fermion wave functions [see, e.g., Th. Jolicoeur and N. Regnault, Phys. Rev. B PRBMDO 0163-1829 70, 241307 (2004)]. Recently, however, the possibility of localization of neutral bosons in the LLL is also attracting attention. In particular, the EXD study in Ref. shows that, for small N, formation of vortices in the LLL is not a prevalent phenomenon, and their appearance "is restricted to the vicinity of some critical values of the rotational frequency...". 10.1103/PhysRevB.70.241307
12. P.F. Kartsev, Phys. Rev. A 68, 063613 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.68.063613
13. P.-O. Löwdin, Rev. Mod. Phys. 34, 520 (1962); RMPHAT 0034-6861 10.1103/RevModPhys.34.520
14. R.E. Peierls and J. Yoccoz, Proc. Phys. Soc. London, Sect. A 70, 381 (1957). PPSAAM 0370-1298 10.1088/0370-1298/70/5/309
15. C. Yannouleas and U. Landman, J. Phys. Condens. Matter JCOMEL 0953-8984 14, L591 (2002); 10.1088/0953-8984/14/34/101
16. C. Yannouleas U. Landman Phys. Rev. B PRBMDO 0163-1829 66, 115315 (2002). 10.1103/PhysRevB.66.115315
17. C. Yannouleas and U. Landman, Phys. Rev. Lett. 82, 5325 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.82.5325
18. R.A. Butts and D.S. Rokhsar, Nature (London) 397, 327 (1999). NATUAS 0028-0836 10.1038/16865
19. See discussion in N. Barberan, Phys. Rev. A 73, 063623 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.73.063623
20. M. Schellekens, Science 310, 648 (2005). SCIEAS 0036-8075 10.1126/science.1118024