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Volumn 68, Issue 3, 2003, Pages

Finite-temperature excitations of a trapped Bose-Fermi mixture

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; FERMI LEVEL; HAMILTONIANS; INTEGRAL EQUATIONS; LITHIUM; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; POTASSIUM; RUBIDIUM; SODIUM; STATISTICAL METHODS;

EID: 0242610820     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (14)

References (48)
  • 31
    • 0242543673 scopus 로고    scopus 로고
    • note
    • 2ψ̃†+2Φψ ̃†ψ̃+Φ*ψ̃ψ̃+ ψ̃†ψ̃ψ̃ and ψφ†φ = Φφ†φ+ψ̃φ†φ. From the semiclassical point of view, the cubic product of the operator, ψ̃†ψ̃ψ̃ (or ψ̃φ†φ), accounts for the collisions involving the condensate and noncondensate atoms (or fermions) [18]. In the collisionless regime we may assume that these products have only a negligible effect on the dynamics of the condensate and we may safely set the triplet average value to zero: <ψ̃†(r,t)ψ̃(r,t)ψ̃(r,t)> = 0 and <ψ̃(r,t)φ†(r,t)φ(r,t)> = 0. On the other hand, for a pure Bose gas the damping due to collisions has been discussed by Williams and Griffin in Ref. [21]. For typical trap parameters, it is found to be 2 or 3 times smaller than the Landau damping arising from the dynamical mean-field effect as discussed in the present paper. The collisional frequency shift is also considered in these papers, and found to vanish in the first-order perturbation treatment.
  • 34
    • 4243988445 scopus 로고    scopus 로고
    • Phys. Rev. Lett. 78, 3987 (1997).
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 3987
  • 35
    • 0242460157 scopus 로고    scopus 로고
    • note
    • 0(r) also becomes negligible. While at high temperatures, it approaches the finite-temperature Hartree-Fock spectrum. Therefore it is expected to give a reasonable first approximation for the excitation spectrum in Bose gases at all temperatures [14].
  • 37
    • 85088492379 scopus 로고    scopus 로고
    • note
    • f(r) are an order smaller than δΦ(r).
  • 39
    • 85088489612 scopus 로고    scopus 로고
    • note
    • F + ω.
  • 42
    • 0242628646 scopus 로고    scopus 로고
    • note
    • 0(r+x/2,r-x/2; ω = 0) that diverges as 1/x for x → 0 [30].


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.