Bose-Einstein condensation of spin-1/2 atoms with conserved total spin

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 6, 2003, Pages

  Ashhab, S ^a   Leggett, A J ^b  

^a OHIO STATE UNIVERSITY   (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMS; COOLING; GROUND STATE; HIGH TEMPERATURE EFFECTS; NUMERICAL METHODS; PHASE TRANSITIONS;

BOSE EINSTEIN CONDENSATION; BOSONIC ATOMS; INTERATOMIC INTERACTIONS; TOTAL SPIN;

ATOMIC PHYSICS;

EID: 1142304417     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

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17. Note that U(r) and g are independently of σ and σ′, as required by our assumption of SU(2) symmetry. Also note that the form of the interaction term that we are using, namely, that of contact interactions, describes only s-wave scattering. We neglect scattering in channels of nonzero relative angulat momentum, i.e., p wave, d wave etc.
18. 1(r)=0.
19. -iΣjθj, i.e., reduce the circulation of each atom by one unit, and thereby reduce the energy.
20. For example, the entropy of a system of N distinguishable spin-1/2 objects with total spin S is given by -N{(1/2-S/N)1n(1/2-S/N)+(1/2+S/N)1n(1/2+S/N)}, satisfying the two properties given above.