Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-04-22
Series on advances in Quantum Many-Body theories vol. 10, ``Recent progress in many body theories'', ed. S. Hernandez and H. C
Physics
Condensed Matter
Strongly Correlated Electrons
Proceedings of the conference on "Quantum Many Body Theories 13", to be published by World Scientific
Scientific paper
10.1142/S0217979206036235
Despite the fact that by now one dimensional and three dimensional systems of interacting particles are reasonably well understood, very little is known on how to go from the one dimensional physics to the three dimensional one. This is in particular true in a quasi-one dimensional geometry where the hopping of particles between one dimensional chains or tubes can lead to a dimensional crossover between a Luttinger liquid and more conventional high dimensional states. Such a situation is relevant to many physical systems. Recently cold atoms in optical traps have provided a unique and controllable system in which to investigate this physics. We thus analyze a system made of coupled one dimensional tubes of interacting fermions. We explore the observable consequences, such as the phase diagram for isolated tubes, and the possibility to realize unusual superfluid phases in coupled tubes systems.
Cazalilla Miguel A.
Giamarchi Thierry
Ho Andrew F.
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