Non-Abelian Gauge Fields and Topological Insulators in Shaken Optical Lattices

Autoren

Philipp Hauke
Olivier Tieleman
Alessio Celi
Christoph Ölschläger
Juliette Simonet
Julian Struck
Malte Weinberg
Patrick Windpassinger
Klaus Sengstock
Maciej Lewenstein
André Eckardt

DOI

10.1103/physrevlett.109.145301

eISSN

1079-7114

ISSN

0031-9007

Ausgabe der Veröffentlichung

14

Zeitschrift

Physical Review Letters

Sprache

en

Artikelnummer

145301

Online publication date

2012

Status

Published online

Herausgeber

American Physical Society (APS)

Herausgeber URL

http://dx.doi.org/10.1103/physrevlett.109.145301

Datum der Datenerfassung

2019

Titel

Non-Abelian Gauge Fields and Topological Insulators in Shaken Optical Lattices

Ausgabe der Zeitschrift

109

Data source: Crossref

Abstract

Time-periodic driving like lattice shaking offers a low-demanding method to generate artificial gauge fields in optical lattices. We identify the relevant symmetries that have to be broken by the driving function for that purpose and demonstrate the power of this method by making concrete proposals for its application to two-dimensional lattice systems: We show how to tune frustration and how to create and control band touching points like Dirac cones in the shaken kagome lattice. We propose the realization of a topological and a quantum spin Hall insulator in a shaken spin-dependent hexagonal lattice. We describe how strong artificial magnetic fields can be achieved for example in a square lattice by employing superlattice modulation. Finally, exemplified on a shaken spin-dependent square lattice, we develop a method to create strong non-abelian gauge fields.

Addresses

ICFO-Institut de Ciències Fotòniques, Parc Mediterrani de la Tecnologia, E-08860 Castelldefels, Spain. philipp.hauke@icfo.es

Autoren

Philipp Hauke
Olivier Tieleman
Alessio Celi
Christoph Olschläger
Juliette Simonet
Julian Struck
Malte Weinberg
Patrick Windpassinger
Klaus Sengstock
Maciej Lewenstein
André Eckardt

DOI

10.1103/physrevlett.109.145301

eISSN

1079-7114

Externe Identifier

PubMed Identifier: 23083256

Open access

false

ISSN

0031-9007

Ausgabe der Veröffentlichung

14

Zeitschrift

Physical review letters

Sprache

eng

Medium

Print-Electronic

Online publication date

2012

Paginierung

145301

Datum der Veröffentlichung

2012

Status

Published

Datum der Datenerfassung

2012

Titel

Non-abelian gauge fields and topological insulators in shaken optical lattices.

Sub types

Journal Article

Ausgabe der Zeitschrift

109

Data source: Europe PubMed Central

Abstract

Time-periodic driving like lattice shaking offers a low-demanding method to generate artificial gauge fields in optical lattices. We identify the relevant symmetries that have to be broken by the driving function for that purpose and demonstrate the power of this method by making concrete proposals for its application to two-dimensional lattice systems: We show how to tune frustration and how to create and control band touching points like Dirac cones in the shaken kagome lattice. We propose the realization of a topological and a quantum spin Hall insulator in a shaken spin-dependent hexagonal lattice. We describe how strong artificial magnetic fields can be achieved for example in a square lattice by employing superlattice modulation. Finally, exemplified on a shaken spin-dependent square lattice, we develop a method to create strong non-abelian gauge fields.

Autoren

Philipp Hauke
Olivier Tieleman
Alessio Celi
Christoph Olschläger
Juliette Simonet
Julian Struck
Malte Weinberg
Patrick Windpassinger
Klaus Sengstock
Maciej Lewenstein
André Eckardt

Autoren-URL

https://www.ncbi.nlm.nih.gov/pubmed/23083256

DOI

10.1103/PhysRevLett.109.145301

eISSN

1079-7114

Ausgabe der Veröffentlichung

14

Zeitschrift

Phys Rev Lett

Sprache

eng

Country

United States

Paginierung

145301

Datum der Veröffentlichung

2012

Status

Published

Datum, an dem der Datensatz öffentlich gemacht wurde

2012

Titel

Non-abelian gauge fields and topological insulators in shaken optical lattices.

Sub types

Journal Article

Ausgabe der Zeitschrift

109

Data source: PubMed

Abstract

Time-periodic driving like lattice shaking offers a low-demanding method to generate artificial gauge fields in optical lattices. We identify the relevant symmetries that have to be broken by the driving function for that purpose and demonstrate the power of this method by making concrete proposals for its application to two-dimensional lattice systems: We show how to tune frustration and how to create and control band touching points like Dirac cones in the shaken kagom\'e lattice. We propose the realization of a topological and a quantum spin Hall insulator in a shaken spin-dependent hexagonal lattice. We describe how strong artificial magnetic fields can be achieved for example in a square lattice by employing superlattice modulation. Finally, exemplified on a shaken spin-dependent square lattice, we develop a method to create strong non-Abelian gauge fields.

Autoren

Philipp Hauke
Olivier Tieleman
Alessio Celi
Christoph Ölschläger
Juliette Simonet
Julian Struck
Malte Weinberg
Patrick Windpassinger
Klaus Sengstock
Maciej Lewenstein
André Eckardt

Autoren-URL

http://arxiv.org/abs/1205.1398v3

Zeitschrift

Phys. Rev. Lett.

Schlüsselwörter

cond-mat.quant-gas
cond-mat.quant-gas
cond-mat.str-el

Notes

5 pages, 4 figures + supplemental material (2 pages, 1 figure). Accepted for publication in Phys. Rev. Lett.. Minor changes with respect to version 2 to improve presentation

Paginierung

145301

Datum der Veröffentlichung

2012

Herausgeber URL

http://dx.doi.org/10.1103/PhysRevLett.109.145301

Datum der Datenerfassung

2012

Datum, an dem der Datensatz öffentlich gemacht wurde

2012

Titel

Non-Abelian gauge fields and topological insulators in shaken optical lattices

Ausgabe der Zeitschrift

109

Files

1205.1398v3.pdf

Data source: arXiv

Non-Abelian Gauge Fields and Topological Insulators in Shaken Optical Lattices

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