Hofstadter's butterfly energy spectrum of ultracold fermions on the two-dimensional triangular optical lattice

被引：1

作者：

Hou, Jing-Min ^{[1
]}

Lu, Qing-Qing ^{[1
]}

机构：

[1] Southeast Univ, Dept Phys, Nanjing 211189, Peoples R China

来源：

PHYSICS LETTERS A | 2009年 / 373卷 / 06期

关键词：

Atoms in optical lattices; Degenerate Fermi gases; Fractal energy spectrum; MAGNETIC-FIELDS; ATOMS; GAS;

D O I：

10.1016/j.physleta.2008.12.033

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the energy spectrum of ultracold fermionic atoms on the two-dimensional triangular optical lattice subjected to a perpendicular effective magnetic field, which can be realized with laser beams. We derive the generalized Harper's equations and numerically solve them, then we obtain the Hofstadter's butterfly-like energy spectrum, which has a novel fractal structure. The observability of the Hofstadter's butterfly spectrum is also discussed. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：698 / 700

页数：3

共 30 条

[1] Quantum logic gates in optical lattices [J].

Brennen, GK ;

Caves, CM ;

Jessen, PS ;

Deutsch, IH .

PHYSICAL REVIEW LETTERS, 1999, 82 (05) :1060-1063

[2] Ultracold atoms in a disordered crystal of light: Towards a Bose glass [J].

Fallani, L. ;

Lye, J. E. ;

Guarrera, V. ;

Fort, C. ;

Inguscio, M. .

PHYSICAL REVIEW LETTERS, 2007, 98 (13)

[3] Effects of frustration on the anisotropic triangular lattice bosons [J].

Gan, Jing-Yu .

PHYSICAL REVIEW B, 2008, 78 (01)

[4] Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms [J].

Greiner, M ;

Mandel, O ;

Esslinger, T ;

Hänsch, TW ;

Bloch, I .

NATURE, 2002, 415 (6867) :39-44

[5] Cold atoms in dissipative optical lattices [J].

Grynberg, G ;

Robilliard, C .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2001, 355 (5-6) :335-451

[6] Bose-Fermi mixtures in a three-dimensional optical lattice [J].

Guenter, Kenneth ;

Stoeferle, Thilo ;

Moritz, Henning ;

Koehl, Michael ;

Esslinger, Tilman .

PHYSICAL REVIEW LETTERS, 2006, 96 (18)

[7] Magnetic quantum phase transition of cold atoms in an optical lattice [J].

He, Peng-Bin ;

Sun, Qing ;

Li, Peng ;

Shen, Shun-Qing ;

Liu, W. M. .

PHYSICAL REVIEW A, 2007, 76 (04)

[8] 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

[9] Cold bosonic atoms in optical lattices [J].

Jaksch, D ;

Bruder, C ;

Cirac, JI ;

Gardiner, CW ;

Zoller, P .

PHYSICAL REVIEW LETTERS, 1998, 81 (15) :3108-3111

[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

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