Direct imaging of topological edge states in cold-atom systems

Proceedings of the National Academy of Sciences of the United States of America

Volumn 110, Issue 17, 2013, Pages 6736-6741

  Goldman, Nathan ^a   Dalibard, Jean ^b,c   Dauphin, Alexandre ^a,d   Gerbier, Fabrice ^b   Lewenstein, MacIej ^e,f   Zoller, Peter ^g,h   Spielman, Ian B ⁱ  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b LABORATOIRE KASTLER BROSSEL   (France)

^c Collège de France ^*  (France)

^d UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^e ICFO INSTITUT DE CIENCIES FOTONIQUES   (Spain)

^f INSTITUCIÓ CATALANA DE RECERCA I ESTUDIS AVANÇATS ICREA   (Spain)

^g ERICH SCHMID INSTITUTE OF MATERIALS SCIENCE   (Austria)

^h UNIVERSITY OF INNSBRUCK   (Austria)

ⁱ UNIVERSITY OF MARYLAND   (United States)

Author keywords

Chiral edge states; Degenerate atomic gases; Optical lattices; Quantum Hall effects

Indexed keywords

ACCELERATION; ARTICLE; ATOM; CHEMICAL STRUCTURE; CHIRALITY; COLD; DENSITY; DISPERSION; MATHEMATICAL MODEL; MEMBRANE STRUCTURE; MOLECULAR DYNAMICS; MOLECULAR IMAGING; NORMAL DISTRIBUTION; PRIORITY JOURNAL; VELOCITY;

COLD TEMPERATURE; GASES; MODELS, CHEMICAL; PHASE TRANSITION; PHYSICS; QUANTUM THEORY;

EID: 84876830063     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1300170110     Document Type: Article

References (36)

1. Hasan MZ, Kane CL (2010) Colloquium: Topological insulators. Rev Mod Phys 82: 3045-3067.
2. Qi XL, Zhang SC (2011) Topological insulators and superconductors. Rev Mod Phys 83: 1057-1110.
3. Thouless DJ, Kohmoto M, Nightingale MP, den Nijs M (1982) Quantized Hall conductance in a two-dimensional periodic potential. Phys Rev Lett 49:405-408.
4. Kohmoto M (1989) Zero modes and the quantized Hall conductance of the two-dimensional lattice in a magnetic field. Phys Rev B Condens Matter 39(16):11943-11949.
5. Hatsugai Y (1993) Chern number and edge states in the integer quantum Hall effect. Phys Rev Lett 71(22):3697-3700.
6. Ashoori RC, Stormer HL, Pfeiffer LN, Baldwin KW, West K (1992) Edge magneto-plasmons in the time domain. Phys Rev B Condens Matter 45(7):3894-3897.
7. Ji Y, et al. (2003) An electronic Mach-Zehnder interferometer. Nature 422(6930):415-418.
8. Zhang Y, et al. (2009) Distinct signatures for Coulomb blockade and Aharonov-Bohm interference in electronic Fabry-Perot interferometers. Phys Rev B 79:241304-241308.
9. Aidelsburger M, et al. (2011) Experimental realization of strong effective magnetic fields in an optical lattice. Phys Rev Lett 107(25):255301-255305.
10. Dalibard J, Gerbier F, Juzeliunas G, Öhberg P (2011) Colloquium: Artificial gauge potentials for neutral atoms. Rev Mod Phys 83:1523-1543.
11. Brantut JP, Meineke J, Stadler D, Krinner S, Esslinger T (2012) Conduction of ultracold fermions through a mesoscopic channel. Science 337(6098):1069-1071.
12. Alba E, Fernandez-Gonzalvo X, Mur-Petit J, Pachos JK, Garcia-Ripoll JJ (2011) Seeing topological order in time-of-flight measurements. Phys Rev Lett 107(23):235301-235305.
13. Zhao E, Bray-Ali N, Williams C, Spielman IB, Satija I (2011) Chern numbers hiding in time-of-flight images. Phys Rev A 84:063629-063633.
14. Goldman N, et al. (2013) Measuring topology in a laser-coupled honeycomb lattice: From Chern insulators to topological semi-metals. New J Phys, 15:013025.
15. Price HM, Cooper NR (2012) Mapping the Berry curvature from semiclassical dynamics in optical lattices. Phys Rev A 85:033620.
16. Umucalilar RO, Zhai H, Oktel MÖ (2008) Trapped Fermi gases in rotating optical lattices: Realization and detection of the topological hofstadter insulator. Phys Rev Lett 100(7):070402-070405.
17. Scarola VW, Das Sarma S (2007) Edge transport in 2D cold atom optical lattices. Phys Rev Lett 98(21):210403-210406.
18. Goldman N, et al. (2010) Realistic time-reversal invariant topological insulators with neutral atoms. Phys Rev Lett 105(25):255302.
19. Stanescu TD, Galitski V, Das Sarma S (2010) Topological states in two-dimensional optical lattices. Phys Rev A 82:013608.
20. Goldman N, Beugnon J, Gerbier F (2012) Detecting chiral edge states in the Hofstadter optical lattice. Phys Rev Lett 108(25):255303-255305.
21. Kraus CV, Diehl S, Zoller P, Baranov MA (2012) Preparing and probing atomic Majorana fermions and topological order in optical lattices. New J Phys 14:113036-113052.
22. Killi M, Paramekanti A (2012) Use of quantum quenches to probe the equilibrium current patterns of ultracold atoms in an optical lattice. Phys Rev A 85:061606-061610.
23. Papp SB, et al. (2008) Bragg spectroscopy of a strongly interacting 85Rb Bose-Einstein condensate. Phys Rev Lett 101(13):135301-135304.
24. Goldman N, Beugnon J, Gerbier F (2013) Identifying topological edge states in 2D optical lattices using light scattering. Eur Phys J Special Topics 217:135-152.
25. Jaksch D, Zoller P (2003) Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms. New J Phys 5:56.
26. Gerbier F, Dalibard J (2010) Gauge fields for ultracold atoms in optical superlattices. New J Phys 12:033007.
27. Meyrath TP, Schreck F, Hanssen JL, Chuu CS, Raizen MG (2005) Bose-Einstein condensate in a box. Phys Rev A 71:041604-041607.
28. Weitenberg C, et al. (2011) Single-spin addressing in an atomic Mott insulator. Nature 471(7338):319-324.
29. Hofstadter DR (1976) Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields. Phys Rev B 14:2239-2249.
30. Buchhold M, Cocks D, Hofstetter W (2012) Effects of smooth boundaries on topo-logical edge modes in optical lattices. Phys Rev A 85:63614-63625.
31. Sanchez-Palencia L, Lewenstein M (2010) Disordered quantum gases under control. Nat Phys 6:87-95.
32. Sørensen AS, Demler E, Lukin MD (2005) Fractional quantum Hall states of atoms in optical lattices. Phys Rev Lett 94(8):086803-086806.
33. Cooper NR (2008) Rapidly rotating atomic gases. Adv Phys 57:539-616.
34. Graß T, Juliá-Díaz B, Lewenstein M (2012) Quasihole dynamics as a detection tool for quantum Hall phases. Phys Rev A 86:053629-053635.
35. Béri B, Cooper NR (2011) Z(2) topological insulators in ultracold atomic gases. Phys Rev Lett 107(14):145301-145305.
36. Bermudez A, et al. (2010) Wilson fermions and axion electrodynamics in optical lattices. Phys Rev Lett 105(19):190404-190407.