The cold atom Hubbard toolbox

L. Feenstra, L. Mauritz Andersson, Jörg Schmiedmayer

Dieter Jaksch, P. Zoller

We review recent theoretical advances in cold atom physics concentrating on strongly correlated cold atoms in optical lattices. We discuss recently developed quantum optical tools for manipulating atoms and show how they can be used to realize a wide range of many body Hamiltonians. Then we describe connections and differences to condensed matter physics and present applications in the fields of quantum computing and quantum simulations. Finally we explain how defects and atomic quantum dots can be introduced in a controlled way in optical lattice systems. Key words: cold atom, optical lattice, Hubbard model, quantum computing, atomic quantum dot PACS: 03.75.-b, 32.80.Pj, 32.80.Qk, 03.67.Lx 1

Anonymous

Bernhard Irsigler, Jun-Hui Zheng, Fabian Grusdt +1 more

This work reveals a toolbox of theoretical methods to tackle three-dimensional, topological, time-reversal-symmetric, inhomogeneous, and interacting systems and thus opens the possibilities for further exploration of new states, especially, in cold atomic setups with artificial gauge fields.

Anonymous

R. Eder