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One dimensional bosons: From condensed matter systems to ultracold gases

Miguel A. CazalillaCentro de Fisica de Materiales, Paseo Manuel de Lardizabal, 5. E-20018 San Sebastian, Spain and Donostia International Physics Center, Paseo Manuel de Lardizabal, 4. E-20018 San Sebastian, SpainR. CitroCentro de Fisica de Materiales, Paseo Manuel de Lardizabal, 5. E-20018 San Sebastian, Spain and Donostia International Physics Center, Paseo Manuel de Lardizabal, 4. E-20018 San Sebastian, SpainT. GiamarchiCentro de Fisica de Materiales, Paseo Manuel de Lardizabal, 5. E-20018 San Sebastian, Spain and Donostia International Physics Center, Paseo Manuel de Lardizabal, 4. E-20018 San Sebastian, SpainE. OrignacCentro de Fisica de Materiales, Paseo Manuel de Lardizabal, 5. E-20018 San Sebastian, Spain and Donostia International Physics Center, Paseo Manuel de Lardizabal, 4. E-20018 San Sebastian, SpainMarcos RigolCentro de Fisica de Materiales, Paseo Manuel de Lardizabal, 5. E-20018 San Sebastian, Spain and Donostia International Physics Center, Paseo Manuel de Lardizabal, 4. E-20018 San Sebastian, Spain
2011en
ABI

Аннотация

The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with results from exactly solvable models and computational approaches, the concept of bosonic Tomonaga-Luttinger liquids relevant for one-dimensional Bose fluids is introduced, and compared with Bose-Einstein condensates existing in dimensions higher than one. The effects of various perturbations on the Tomonaga-Luttinger liquid state are discussed as well as extensions to multicomponent and out of equilibrium situations. Finally, the experimental systems that can be described in terms of models of interacting bosons in one dimension are discussed.

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