Pairing, Off-Diagonal Long-Range Order, and Quantum Phase Transition in Strongly Attracting Ultracold Bose Gas Mixtures in Tight Waveguides

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M. D. Girardeau
College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA

Received 5 May 2009; published 18 June 2009

Amodel of two 1D ideal Bose gases A and Bwith strong odd-wave AB attractions induced by a p-wave ABFeshbach resonance is studied. The model is solved exactly bya Bose-Bose duality mapping, and it is shown that thereis no A-component or B-component Bose-Einstein condensation and no AB-pairoff-diagonal long-range order (ODLRO), but both AA-pair and BB-pair ODLRO.After generalization by adding even-wave AA and BB repulsions andreducing the strength of the odd-wave AB attraction by Feshbachresonance detuning, a quantum phase transition occurs between a phasewith AB contact nodes and one with no such nodes.

URL:	http://link.aps.org/doi/10.1103/PhysRevLett.102.245303
DOI:	10.1103/PhysRevLett.102.245303
PACS:	67.85.-d; 03.75.Mn; 05.30.Jp 67.85.-d Ultracold gases, trapped gases (quantum fluids) 03.75.Mn Multicomponent condensates; spinor condensates 05.30.Jp Boson systems (quantum statistical mechanics) YEAR: 2009

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Phys. Rev. Lett. 102, 245303 (2009) [4 pages]

Pairing, Off-Diagonal Long-Range Order, and Quantum Phase Transition in Strongly Attracting Ultracold Bose Gas Mixtures in Tight Waveguides

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A new free weekly publication from APS