Ultracold Atoms in Optical Lattices

Maciej Lewenstein has been an ICREA professor at the Institut de Ciències Fotòniques in Castelldefels since 2005 where he leads the quantum optics theory group. In 2007 he won the Humbolt research award, Germany. In 2008 he obtained the Advance Research Grant from the European Community and in 2010 he won the first Harmburger Prize for his contributions in theoretical physics. His interests range from traditional quantum optics through to physics of cold gases and quantum information to physics of ultra intense laser fields.Anna Sanpera has been an ICREA professor in the newly formed group of Quantum Information and Quantum Phenomena at the Universitat Autònoma of Barcelona, Spain, since 2005. She is currently working on quantum information theory, physics ultra-cold gases and the interface between quantum theory and condensed matter. She is also interested in the connection between quantum mechanics and biology.Verònica Ahufinger obtained an ICREA researcher position in 2005 and moved to the Universitat Autònoma of Barcelona. Since 2010 she has been a professor at the Universitat Autònoma of Barcelona. She is interested in the interplay between the physics of ultracold atoms, quantum optics and condensed matter.

• 1: Introduction2: Statistical physics of condensed matter: basic concepts3: Ultracold gases in optical lattices: Basic concepts4: Quantum simulators of condensed matter5: Bose Hubbard models: Methods of treatment6: Fermi and Fermi-Bose Hubbard models: Methods of treatment7: Ultracold spinor atomic gases8: Ultracold dipolar gases9: Disordered ultracold atomic gases10: Frustrated models in cold atom systems11: Ultracold atomic gases in "artificial " gauge fields12: Many body physics from a quantum information perspective13: Quantum information with lattice gases14: Detection of quantum systems realised with ultracold atoms15: Summary and future perspectivesBibliography

`There is much of value to be found in this book. It will be appreciated not only by those seeking a comprehensive and stimulating introduction to the field, but also by seasoned researchers looking for an astute state of the art survey of the field.'Michael Belsley, Contemporary Physics