Paired phases and Bose-Einstein condensation of spin-one bosons with attractive interaction

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.033612· OSTI ID:21541339

Pelka, G; Tworzydlo, J ^[1]; Byczuk, K ^[1]

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1. Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, ul. Hoza 69, PL-00-681 Warszawa (Poland)

We analyze paired phases of cold bosonic atoms with spin S=1 and with an attractive interaction. We derive mean-field self-consistent equations for the matrix order parameter describing such paired bosons on an optical lattice. The possible solutions are classified according to their symmetries. In particular, we find that the self-consistent equations for the SO(3) symmetric phase are of the same form as those for scalar bosons with attractive interactions. This singlet phase may exhibit either the BCS-type pairing instability (BCS phase) or the Bose-Einstein condensation (BEC) quasiparticle condensation together with the BCS-type pairing (BEC phase) for an arbitrary attraction U{sub 0} in the singlet channel of the two-body interaction. We show that both condensate phases become stable if a repulsion U{sub 2} in the quintet channel is above a critical value, which depends on U{sub 0} and other thermodynamic parameters.

• OSTI ID: 21541339
• Journal Information: Physical Review. A, Vol. 83, Issue 3; Other Information: DOI: 10.1103/PhysRevA.83.033612; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ATOMS
BOSE-EINSTEIN CONDENSATION
BOSONS
INSTABILITY
INTERACTIONS
MATHEMATICAL SOLUTIONS
MEAN-FIELD THEORY
ORDER PARAMETERS
SO-3 GROUPS
SPIN
SYMMETRY
TWO-BODY PROBLEM
ANGULAR MOMENTUM
DIMENSIONLESS NUMBERS
LIE GROUPS
MANY-BODY PROBLEM
PARTICLE PROPERTIES
SO GROUPS
SYMMETRY GROUPS