Many-Body Physics with Ultracold Gases

Lecture Notes of the Les Houches Summer School: Volume 94, July 2010

Edited by Christophe Salomon, Georgy V. Shlyapnikov, and Leticia F. Cugliandolo

Lecture Notes of the Les Houches Summer School

Fundamental introduction to one of the most active areas of modern physics
Written in a pedagogical style by leading authorities in the field
Good balance between theoretical concepts and experimental aspects
At the interface between atomic physics, condensed matter, and nuclear physics
The book uniquely covers in a single volume most of the current topics in quantum gases

Many-Body Physics with Ultracold Gases

Lecture Notes of the Les Houches Summer School: Volume 94, July 2010

Edited by Christophe Salomon, Georgy V. Shlyapnikov, and Leticia F. Cugliandolo

Lecture Notes of the Les Houches Summer School

Description

This book gathers the lecture notes of courses given at the 2010 summer school in theoretical physics in Les Houches, France, Session XCIV. Written in a pedagogical style, this volume illustrates how the field of quantum gases has flourished at the interface between atomic physics and quantum optics, condensed matter physics, nuclear and high-energy physics, non-linear physics and quantum information.

The physics of correlated atoms in optical lattices is covered from both theoretical and experimental perspectives, including the Bose and Fermi Hubbard models, and the description of the Mott transition. Few-body physics with cold atoms has made spectacular progress and exact solutions for 3-body and 4-body problems have been obtained. The remarkable collisional stability of weakly bound molecules is at the core of the studies of molecular BEC regimes in Fermi gases. Entanglement in quantum many-body systems is introduced and is a key issue for quantum information processing. Rapidly rotating quantum gases and optically induced gauge fields establish a remarkable connection with the fractional quantum Hall effect for electrons in semiconductors. Dipolar quantum gases with long range and anisotropic interaction lead to new quantum degenerate regimes in atoms with large magnetic moments, or electrically aligned polar molecules. Experiments with ultracold fermions show how quantum gases serve as ''quantum simulators'' of complex condensed matter systems through measurements of the equation of state. Similarly, the recent observation of Anderson localization of matter waves in a disordered optical potential makes a fruitful link with the behaviour of electrons in disordered systems.

Many-Body Physics with Ultracold Gases

Lecture Notes of the Les Houches Summer School: Volume 94, July 2010

Edited by Christophe Salomon, Georgy V. Shlyapnikov, and Leticia F. Cugliandolo

Lecture Notes of the Les Houches Summer School

1:Strongly correlated bosons and fermions in optical lattices, Antoine Georges and Thierry Giamarchi
2:Ultracold Atoms in Optical Lattices, Immanuel Bloch
3:Few-atom problem, Dmitry S. Petrov
4:Entanglement in many-body quantum systems, Ignacio Cirac
5:Quantum Hall States of Ultracold Atomic Gases, Nigel R. Cooper
6:Theory of dipolar gases, Luis Santos
7:Ultracold Polar Molecules, Deborah S. Jin and Jun Ye
8:Ultra-cold Fermi gases as quantum simulators of condensed matter physics, Frédéric Chevy
9:Competing instabilities in quench experiments with ultracold Fermi gases near a Feshbach resonance, David Pekker and Eugene Demler
10:Anderson localization of ultra-cold atoms in a laser speckle, Alain Aspect

Many-Body Physics with Ultracold Gases

Lecture Notes of the Les Houches Summer School: Volume 94, July 2010

Edited by Christophe Salomon, Georgy V. Shlyapnikov, and Leticia F. Cugliandolo

Lecture Notes of the Les Houches Summer School

Author Information

Edited by Christophe Salomon, Laboratoire Kastler Brossel, Ecole Normale Superieure, Paris, Georgy V. Shlyapnikov, and Leticia F. Cugliandolo, Department of Physics, University of Paris VI

Christophe Salomon is research Director at CNRS and he currently performs his research at Laboratoire Kastler Brossel belonging to the Physics Department of the Ecole Normale Supérieure (ENS) in Paris, France.; Leticia F. Cugliandolo is Professor at Université Pierre et Marie Curie, France. She got her PhD in Physics from Universidad Nacional de La Plata, Argentina, in 1991. Subsequently, she spent a three year post-doc at Università di Roma I, La Sapienza, and then moved to the Service de Physique de l'Etat Condensé at Saclay (CEA) and Ecole Normale Supérieure (ENS) de Paris for a second post-doctoral experience. In 1997 she became assistant professor at ENS Paris and in 2003 full professor at Université Pierre et Marie Curie - Paris VI where she presently teaches and pursues her research acivities. Since January 2007 she is the Director of Ecole de Physique des Houches.

Contributors:

Antoine Georges and Thierry Giamarchi
Immanuel Bloch
Dmitry S. Petrov
Ignacio Cirac
Nigel R. Cooper
Luis Santos
Deborah S. Jin and Jun Ye
Frédéric Chevy
David Pekker and Eugene Demler
Alain Aspect