Cold atoms in non-Abelian gauge potentials: From the Hofstadter "Moth" to lattice gauge theory

被引:379
作者
Osterloh, K [1 ]
Baig, M
Santos, L
Zoller, P
Lewenstein, M
机构
[1] Leibniz Univ Hannover, Inst Theoret Phys, D-30167 Hannover, Germany
[2] Univ Autonoma Barcelona, IFAE, Bellaterra, Barcelona, Spain
[3] Univ Stuttgart, Inst Theoret Phys 3, D-70550 Stuttgart, Germany
[4] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria
[5] ICFO, Inst Ciencies Foton, Barcelona 08034, Spain
关键词
D O I
10.1103/PhysRevLett.95.010403
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We demonstrate how to create artificial external non-Abelian gauge potentials acting on cold atoms in optical lattices. The method employs atoms with k internal states, and laser assisted state sensitive tunneling, described by unitary kxk matrices. The single-particle dynamics in the case of intense U(2) vector potentials lead to a generalized Hofstadter butterfly spectrum which shows a complex mothlike structure. We discuss the possibility to realize non-Abelian interferometry (Aharonov-Bohm effect) and to study many-body dynamics of ultracold matter in external lattice gauge fields.
引用
收藏
页数:4
相关论文
共 26 条
[1]   MONTE-CARLO ANALYSIS OF THE SU(2) X U(1) AND U(2) LATTICE GAUGE-THEORIES AT DIFFERENT SPACE-TIME DIMENSIONALITIES [J].
BAIG, M ;
COLET, J .
PHYSICS LETTERS B, 1986, 176 (1-2) :149-152
[2]   Fractional quantum hall states in ultracold rapidly rotating dipolar fermi gases [J].
Baranov, MA ;
Osterloh, K ;
Lewenstein, M .
PHYSICAL REVIEW LETTERS, 2005, 94 (07)
[3]   Fast rotation of a Bose-Einstein condensate [J].
Bretin, V ;
Stock, S ;
Seurin, Y ;
Dalibard, J .
PHYSICAL REVIEW LETTERS, 2004, 92 (05) :4-504034
[4]  
Craigie N., 1986, THEORY DETECTION MAG
[5]   TOPOLOGICALLY MASSIVE GAUGE-THEORIES [J].
DESER, S ;
JACKIW, R ;
TEMPLETON, S .
ANNALS OF PHYSICS, 1982, 140 (02) :372-411
[6]   Generation of confinement and other nonperturbative effects by infrared gluonic degrees of freedom [J].
Engelhardt, M .
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2005, 140 :92-105
[7]  
Greensite J, 2003, PROG PART NUCL PHYS, V51, P1, DOI 10.1016/S0146-6410(03)00079-6
[8]   SINGLE BAND MOTION OF CONDUCTION ELECTRONS IN A UNIFORM MAGNETIC FIELD [J].
HARPER, PG .
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON SECTION A, 1955, 68 (10) :874-878
[9]   ENERGY-LEVELS AND WAVE-FUNCTIONS OF BLOCH ELECTRONS IN RATIONAL AND IRRATIONAL MAGNETIC-FIELDS [J].
HOFSTADTER, DR .
PHYSICAL REVIEW B, 1976, 14 (06) :2239-2249
[10]   Creation of effective magnetic fields in optical lattices: the Hofstadter butterfly for cold neutral atoms [J].
Jaksch, D ;
Zoller, P .
NEW JOURNAL OF PHYSICS, 2003, 5 :56.1-56.11