Ultracold atoms in superlattices as quantum simulators for a spin ordering model and phenomena

Abstract

Cold atoms in optical lattices is the application of two formerly distinct aspects of physics: quantum gases from atomic physics and laser theory from quantum optics. Its use to simulate quantum phenomena and models in condensed matter physics is a growing field. The major goal is to use cold fermonic atoms in these superlattices for the simulations. We present here a theoretical proposal for simulating a spin ordering model using fermions. We demonstrate superexchange interaction in the double well and resonating valence bond (RVB) states in kagome lattice which is important for understanding the CuO₂ plane of the superconducting cuprates and other magnetic frustrated materials.

Keywords: Ultracold atoms, Superlattices, Spin ordering, Frustrated systems, Resonant valence bond, Superconductivity