Exponential localization in one-dimensional quasi-periodic optical lattices

被引：181

作者：

Modugno, Michele ^{[1
,2
]}

机构：

[1] Univ Florence, Dipartimento Fis, I-50019 Sesto Fiorentino, Italy

[2] Univ Florence, LENS, I-50019 Sesto Fiorentino, Italy

来源：

NEW JOURNAL OF PHYSICS | 2009年 / 11卷

关键词：

METAL-INSULATOR-TRANSITION; ANDERSON LOCALIZATION; SOLVABLE MODEL; MOTION; ATOMS;

D O I：

10.1088/1367-2630/11/3/033023

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the localization properties of a one-dimensional bichromatic optical lattice in the tight-binding regime, by discussing how exponentially localized states emerge upon changing the degree of commensurability. We also review the mapping onto the discrete Aubry-Andre model, and provide evidence on how the momentum distribution gets modified in the crossover from extended to exponentially localized states. This analysis is relevant to the recent experiment on the Anderson localization of a noninteracting Bose-Einstein condensate in a quasi-periodic optical lattice (Roati et al 2008 Nature 453 895).

引用

页数：13

共 27 条

[1] ABSENCE OF DIFFUSION IN CERTAIN RANDOM LATTICES [J].

ANDERSON, PW .

PHYSICAL REVIEW, 1958, 109 (05) :1492-1505

[2]

AUBRY S, 1980, ANN ISRAEL PHYS SOC, V3, P33

[3] Phase-space visualization of a metal-insulator transition -: art. no. 70 [J].

Aulbach, C ;

Wobst, A ;

Ingold, GL ;

Hänggi, P ;

Varga, I .

NEW JOURNAL OF PHYSICS, 2004, 6 :1-17

[4] Direct observation of Anderson localization of matter waves in a controlled disorder [J].

Billy, Juliette ;

Josse, Vincent ;

Zuo, Zhanchun ;

Bernard, Alain ;

Hambrecht, Ben ;

Lugan, Pierre ;

Clement, David ;

Sanchez-Palencia, Laurent ;

Bouyer, Philippe ;

Aspect, Alain .

NATURE, 2008, 453 (7197) :891-894

[5] Mobility edges in bichromatic optical lattices [J].

Boers, Dave J. ;

Goedeke, Benjamin ;

Hinrichs, Dennis ;

Holthaus, Martin .

PHYSICAL REVIEW A, 2007, 75 (06)

[6] Spectral gaps and mode localization in Fibonacci chains of metal nanoparticles [J].

Dal Negro, Luca ;

Feng, Ning-Ning .

OPTICS EXPRESS, 2007, 15 (22) :14396-14403

[7] Atomic Bose and Anderson glasses in optical lattices [J].

Damski, B ;

Zakrzewski, J ;

Santos, L ;

Zoller, P ;

Lewenstein, M .

PHYSICAL REVIEW LETTERS, 2003, 91 (08) :804031-804034

[8] Transition between extended and localized states in a one-dimensional incommensurate optical lattice [J].

Diener, RB ;

Georgakis, GA ;

Zhong, JX ;

Raizen, M ;

Niu, Q .

PHYSICAL REVIEW A, 2001, 64 (03) :7

[9] 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)

[10] Interference pattern and visibility of a Mott insulator -: art. no. 053606 [J].

Gerbier, F ;

Widera, A ;

Fölling, S ;

Mandel, O ;

Gericke, T ;

Bloch, I .

PHYSICAL REVIEW A, 2005, 72 (05)

← 1 2 3 →