Non-abelian gauge fields and topological insulators in shaken optical lattices.
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.
ICFO-Institut de Ciències Fotòniques, Parc Mediterrani de la Tecnologia, E-08860 Castelldefels, Spain. philipp.hauke@icfo.es
Philipp
P
Hauke
Olivier
O
Tieleman
Alessio
A
Celi
Christoph
C
Olschläger
Juliette
J
Simonet
Julian
J
Struck
Malte
M
Weinberg
Patrick
P
Windpassinger
Klaus
K
Sengstock
Maciej
M
Lewenstein
André
A
Eckardt