The cold atom Hubbard toolbox
D. Jaksch, P. Zoller

TL;DR
This paper reviews recent advances in manipulating strongly correlated cold atoms in optical lattices, highlighting new quantum optical tools, applications in quantum computing, and methods for controlled defect introduction.
Contribution
It provides a comprehensive overview of recent theoretical developments, experimental techniques, and potential applications in quantum simulation and computing with cold atoms.
Findings
Development of quantum optical tools for atom manipulation
Realization of various many-body Hamiltonians in optical lattices
Controlled introduction of defects and atomic quantum dots
Abstract
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.
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