Ultracold atoms in U(2) non-Abelian gauge potentials preserving the Landau levels

被引:21
作者
Burrello, Michele [1 ,2 ]
Trombettoni, Andrea [1 ,2 ]
机构
[1] SISSA, I-34136 Trieste, Italy
[2] Ist Nazl Fis Nucl, Sez Trieste, I-34127 Trieste, Italy
来源
PHYSICAL REVIEW A | 2011年 / 84卷 / 04期
关键词
QUANTUM; STATISTICS; ANYONS; STATES;
D O I
10.1103/PhysRevA.84.043625
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We study ultracold atoms subjected to U(2) non-Abelian potentials: we consider gauge potentials having, in the Abelian limit, degenerate Landau levels and we then investigate the effect of general homogeneous non-Abelian terms. The conditions under which the structure of degenerate Landau levels is preserved are classified and discussed. The typical gauge potentials preserving the Landau levels are characterized by a fictitious magnetic field and by an effective spin-orbit interaction (e. g., obtained through the rotation of two-dimensional atomic gases coupled with a tripod scheme). The single-particle energy spectrum can be analytically determined for a class of gauge potentials, whose physical implementation is discussed. The corresponding Landau levels are deformed by the non-Abelian contribution of the potential and their spin degeneracy is split. The related deformed quantum Hall states for fermions and bosons (in the presence of strong intraspecies interaction) are determined far from and at the degeneracy points of the Landau levels, where non-Abelian states appear. We present a discussion of the effect of the angular momentum, as well as results for U(3) gauge potentials.
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页数:18
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