Quantum Hall fractions in ultracold atomic vapors

被引:6
作者
Regnault, N [1 ]
Jolicoeur, T [1 ]
机构
[1] Lab Pierre Aigrain, Dept Phys, F-75005 Paris, France
来源
MODERN PHYSICS LETTERS B | 2004年 / 18卷 / 19-20期
关键词
Bose condensation; composite fermions; quantum Hall effect; vortex lattice;
D O I
10.1142/S0217984904007530
中图分类号
O59 [应用物理学];
学科分类号
摘要
Atomic vapors can be prepared and manipulated at very low densities and temperatures. When they are rotating, they can reach a quantum Hall regime in which there should be manifestations of the fractional quantum Hall effect. We discuss the appearance of the principal sequence of fractions v = p/(p +/- 1) for bosonic atoms. The termination point of this series is the paired Moore-Read Pfaffian state. Exotic states fill the gap between the paired state and the vortex lattice expected at high filling of the lowest Landau level. In fermionic vapors, the p-wave scattering typical of ultralow energy collisions leads to the hard-core model when restricted to the lowest Landau level.
引用
收藏
页码:1003 / 1012
页数:10
相关论文
共 31 条
[21]  
REGNAULT N, 2004, IN PRESS PHYS REV B
[22]  
REGNAULT N, CONDMAT0404093
[23]   FERMI-LIQUID-LIKE STATE IN A HALF-FILLED LANDAU-LEVEL [J].
REZAYI, E ;
READ, N .
PHYSICAL REVIEW LETTERS, 1994, 72 (06) :900-903
[24]   Critical rotation of a harmonically trapped Bose gas [J].
Rosenbusch, P ;
Petrov, DS ;
Sinha, S ;
Chevy, F ;
Bretin, V ;
Castin, Y ;
Shlyapnikov, G ;
Dalibard, J .
PHYSICAL REVIEW LETTERS, 2002, 88 (25) :4-250403
[25]   Quantum melting and absence of Bose-Einstein condensation in two-dimensional vortex matter [J].
Sinova, J ;
Hanna, CB ;
MacDonald, AH .
PHYSICAL REVIEW LETTERS, 2002, 89 (03) :304031-304034
[26]   Generalized spherical functions and the wave functions of an electron in the field of a magnetic pole [J].
Tamm, Ig .
ZEITSCHRIFT FUR PHYSIK, 1931, 71 (3-4) :141-150
[27]  
TRUGMAN S, 1985, PHYS REV B, V59, P8084
[28]   Do attractive bosons condense? [J].
Wilkin, NK ;
Gunn, JMF ;
Smith, RA .
PHYSICAL REVIEW LETTERS, 1998, 80 (11) :2265-2268
[29]   Condensation of "composite bosons" in a rotating BEC [J].
Wilkin, NK ;
Gunn, JMF .
PHYSICAL REVIEW LETTERS, 2000, 84 (01) :6-9
[30]   DIRAC MONOPOLE WITHOUT STRINGS - MONOPOLE HARMONICS [J].
WU, TT ;
YANG, CN .
NUCLEAR PHYSICS B, 1976, 107 (03) :365-380