Hannover 2016 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 46: Quantum Gases: Bosons V
Q 46.2: Talk
Thursday, March 3, 2016, 11:15–11:30, e001
Anyons in 1D optical lattices by time periodic forcing — •Christoph Sträter1, Shashi C. L. Srivastava1,2, and André Eckardt1 — 1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany — 2Variable Energy Cyclotron Centre, 1/AF Bidhan nagar, Kolkata, India 700 064
Interpolating between bosons and fermions, anyons are particles that pick up a complex phase 0<θ<π upon particle exchange. In one dimensional optical lattices, where anyons can be mapped onto bosons with a density dependent complex hopping element, the possible realization and the physics of anyons has caught a lot of interest recently. Still, the experimental implementation has not yet been achieved. We propose a simple scheme to realize 1D anyons in optical lattices that relies only on lattice shaking and tilting. Within our proposal, also the on-site interaction of the anyons can be tuned effectively. We analyze the ground state of a chain of finite length, as it can be realized in a quantum gas microscope. With increasing θ the atoms tend to localize and to form a crystal-like structure. This is a signature of the smooth fermionization and can be observed in the density, in two-particle correlations, and in the 2nd Renyi entropy of subsystems.