Regensburg 2016 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 64: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems 1

TT 64.13: Vortrag

Donnerstag, 10. März 2016, 12:45–13:00, H22

Nonequilibrium dynamics on Chern bands — Sthitadhi Roy, •Adolfo Grushin, Roderich Moessner, and Masudul Haque — Max Planck Institute for the Physics of Complex Systems, Dresden, Germany

The experimental realization of lattices with Chern bands in ultracold-atom and photonic systems has motivated the study of time-dependent phenomena, such as spatial propagation on such systems. We show that the transverse response to the force due to a harmonic trap on a wavepacket on a Chern lattice, arising due to the interplay of Berry curvature and band dispersion can be captured accurately if the extent of the wavepacket in momentum space is taken into account, unlike point-particle semiclassics. Moreover, if the wavepacket is prepared with a finite initial momentum, the semiclassical analysis reproduces its motion as long as it has a large overlap with the eigenstates of a single band. Relevant for fermionic systems, we study the dynamical evolution of Chern insulator after subjecting them to local quenches. For open-boundary systems, we show for half-filling that the chiral nature of edge states is manifested in the time-dependent chiral response to local density quenches on the edge. In the presence of power-law traps, we show how to mimic the half-filling situation by choosing the appropriate number of fermions depending on the trap size, and explore chiral responses of edges to local quenches in such a configuration. Our results provide different routes to check dynamically the non-trivial nature of Chern bands.