Direct imaging of topological edge states in cold-atom systems

被引：159

作者：

Goldman, Nathan ^{[1
]}

Dalibard, Jean ^{[2
,3
]}

Dauphin, Alexandre ^{[1
,4
]}

Gerbier, Fabrice ^{[2
]}

Lewenstein, Maciej ^{[5
,6
]}

Zoller, Peter ^{[7
,8
]}

Spielman, Ian B. ^{[9
,10
]}

机构：

[1] Univ Libre Bruxelles, Ctr Nonlinear Phenomena & Complex Syst, B-1050 Brussels, Belgium

[2] Univ Paris 06, Ecole Normale Super, Ctr Natl Rech Sci, Lab Kastler Brossel, F-75005 Paris, France

[3] Coll France, F-75005 Paris, France

[4] Univ Complutense, Dept Fis Teor, E-28040 Madrid, Spain

[5] ICFO Inst Ciencies Foton, Barcelona 08860, Spain

[6] ICREA Inst Catalana Recerca & Estudis Avancats, Barcelona 08010, Spain

[7] Austrian Acad Sci, Inst Quantum Opt & Quantum Informat, A-6020 Innsbruck, Austria

[8] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria

[9] NIST, Joint Quantum Inst, Gaithersburg, MD 20899 USA

[10] Univ Maryland, Gaithersburg, MD 20899 USA

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 2013年 / 110卷 / 17期

基金：

欧洲研究理事会; 美国国家科学基金会; 奥地利科学基金会;

关键词：

optical lattices; degenerate atomic gases; quantum Hall effects; chiral edge states; QUANTIZED HALL CONDUCTANCE; OPTICAL LATTICES;

D O I：

10.1073/pnas.1300170110

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Detecting topological order in cold-atom experiments is an ongoing challenge, the resolution of which offers novel perspectives on topological matter. In material systems, unambiguous signatures of topological order exist for topological insulators and quantum Hall devices. In quantum Hall systems, the quantized conductivity and the associated robust propagating edge modes-guaranteed by the existence of nontrivial topological invariants-have been observed through transport and spectroscopy measurements. Here, we show that optical-lattice-based experiments can be tailored to directly visualize the propagation of topological edge modes. Our method is rooted in the unique capability for initially shaping the atomic gas and imaging its time evolution after suddenly removing the shaping potentials. Our scheme, applicable to an assortment of atomic topological phases, provides a method for imaging the dynamics of topological edge modes, directly revealing their angular velocity and spin structure.

引用

页码：6736 / 6741

页数：6

共 36 条

[21] Use of quantum quenches to probe the equilibrium current patterns of ultracold atoms in an optical lattice [J].

Killi, Matthew ;

Paramekanti, Arun .

PHYSICAL REVIEW A, 2012, 85 (06)

[22] ZERO MODES AND THE QUANTIZED HALL CONDUCTANCE OF THE TWO-DIMENSIONAL LATTICE IN A MAGNETIC-FIELD [J].

KOHMOTO, M .

PHYSICAL REVIEW B, 1989, 39 (16) :11943-11949

[23] Preparing and probing atomic Majorana fermions and topological order in optical lattices [J].

Kraus, C. V. ;

Diehl, S. ;

Zoller, P. ;

Baranov, M. A. .

NEW JOURNAL OF PHYSICS, 2012, 14

[24] Bose-Einstein condensate in a box [J].

Meyrath, TP ;

Schreck, F ;

Hanssen, JL ;

Chuu, CS ;

Raizen, MG .

PHYSICAL REVIEW A, 2005, 71 (04)

[25] Bragg spectroscopy of a strongly interacting 85Rb Bose-Einstein condensate [J].

Papp, S. B. ;

Pino, J. M. ;

Wild, R. J. ;

Ronen, S. ;

Wieman, C. E. ;

Jin, D. S. ;

Cornell, E. A. .

PHYSICAL REVIEW LETTERS, 2008, 101 (13)

[26] Mapping the Berry curvature from semiclassical dynamics in optical lattices [J].

Price, H. M. ;

Cooper, N. R. .

PHYSICAL REVIEW A, 2012, 85 (03)

[27] Topological insulators and superconductors [J].

Qi, Xiao-Liang ;

Zhang, Shou-Cheng .

REVIEWS OF MODERN PHYSICS, 2011, 83 (04)

[28] Disordered quantum gases under control [J].

Sanchez-Palencia, Laurent ;

Lewenstein, Maciej .

NATURE PHYSICS, 2010, 6 (02) :87-95

[29] Edge transport in 2D cold atom optical lattices [J].

Scarola, V. W. ;

Das Sarma, S. .

PHYSICAL REVIEW LETTERS, 2007, 98 (21)

[30] Fractional quantum hall states of atoms in optical lattices [J].

Sorensen, AS ;

Demler, E ;

Lukin, MD .

PHYSICAL REVIEW LETTERS, 2005, 94 (08)

← 1 2 3 4 →