The cold atom Hubbard toolbox

2004/10/24 by D. Jaksch, P. Zoller · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #cond-mat.other

paper · pdf · doi:10.1016/j.aop.2004.09.010

Review article, 31 pages, 14 figures, to be published in Annals of Physics

arxiv created 2004/10/24 · openalex publication_date 2004/12/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

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.

Citations

• Three-Boson Problem near a Narrow Feshbach Resonance
• Single Atom Transistor in a 1D Optical Lattice
• High-Temperature Superfluidity of Fermionic Atoms in Optical Lattices
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Atomic Quantum Gases in Kagomé Lattices
• Bloch Oscillations and Mean-Field Effects of Bose-Einstein Condensates in 1D Optical Lattices
• Defect-Suppressed Atomic Crystals in an Optical Lattice
• Tuning the Scattering Length with an Optically Induced Feshbach Resonance
• Atomic Bose-Fermi Mixtures in an Optical Lattice
• Dynamics of the dissipative two-state system
• The Physical Implementation of Quantum Computation

Cited by

• Compression as a Tool to Detect Bose Glass in a Cold Atomic Gas
• Universal probes for antiferromagnetic correlations and entropy in cold fermions on optical lattices
• Driven optical lattices as strong-field simulators
• Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder
• Condensed matter physics [wikipedia]