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Volumn 71, Issue 3, 2005, Pages

Boson-fermion resonance model in one dimension

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATES (BEC); BOSON-FERMION RESONANCE MODEL; GAUDIN-YANG MODEL; LIEB-LINIGER MODEL;

EID: 18544385621     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.71.033630     Document Type: Article
Times cited : (23)

References (51)
  • 9
    • 0004145387 scopus 로고
    • edited by A. Griffin, D. W. Snoke, and S. Stringari (Cambridge University Press, Cambridge, England), and references therein
    • M. Randeria, in Bose-Einstein Condensation, edited by A. Griffin, D. W. Snoke, and S. Stringari (Cambridge University Press, Cambridge, England, 1995) and references therein.
    • (1995) Bose-Einstein Condensation
    • Randeria, M.1
  • 18
    • 36149006296 scopus 로고
    • E. H. Lieb, Phys. Rev. ibid. 130, 1616 (1963).
    • (1963) Phys. Rev. , vol.130 , pp. 1616
    • Lieb, E.H.1
  • 24
    • 85083145013 scopus 로고    scopus 로고
    • note
    • In the 3D version of the model defined by the Hamiltonian (1), a renormalized detuning appears in the bound-state energy equation instead of the bare one as in the 1D case. This is due to the fact that a δ interaction is not a valid 3D potential and needs to be renormalized [13].
  • 27
    • 85083147280 scopus 로고    scopus 로고
    • see also H. Moritz, T. Stöferle, K. Günter, M. Kohl, and T. Esslinger, e-print cond-mat/0503202
    • see also H. Moritz, T. Stöferle, K. Günter, M. Kohl, and T. Esslinger, e-print cond-mat/0503202.
  • 28
    • 85083121488 scopus 로고    scopus 로고
    • note
    • ζ(1/2,x) is a particular Hurvitz zeta function and ζ(1/2, 1) ≃ -1.4603; see [16]. Note the √2 difference in the definition of a⊥ with [10,16], which accounts for A = ζ(1/2, 1)/ √2 ≃ 1.0326.
  • 29
    • 85083136142 scopus 로고    scopus 로고
    • unpublished
    • See, for example, A. Altland and B. Simons (unpublished), http://www.thp.uni-koeln.de/~alexal/teaching.html
    • Altland, A.1    Simons, B.2
  • 33
    • 85083124933 scopus 로고    scopus 로고
    • R. B. Diener and T. L. Ho, e-print cond-mat/0405174
    • R. B. Diener and T. L. Ho, e-print cond-mat/0405174;
  • 35
    • 85083130089 scopus 로고    scopus 로고
    • note
    • 2; see Bruun [19] and De Palo et al. [19].
  • 40
    • 85083149715 scopus 로고    scopus 로고
    • note
    • B=n/2, we recover the result of Ohashi and Griffin for the sound velocity in the BEC limit of the 3D resonance model; see Eq. (4.20) in [26].
  • 46
    • 85083148722 scopus 로고    scopus 로고
    • C. Mora, A. Komnik, R. Egger, and A. O. Gogolin, e-print cond-mat/050164
    • C. Mora, A. Komnik, R. Egger, and A. O. Gogolin, e-print cond-mat/050164.
  • 48
    • 85083139241 scopus 로고    scopus 로고
    • note
    • ⊥ as discussed in [7].
  • 51
    • 85083150916 scopus 로고    scopus 로고
    • G. Thalhammer, M. Theis, K. Winkler, R. Grimm, and J. H. Denschlag, e-print cond-mat/0409552
    • G. Thalhammer, M. Theis, K. Winkler, R. Grimm, and J. H. Denschlag, e-print cond-mat/0409552.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.