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Volumn 39, Issue 2, 2006, Pages 283-294

Formation of a vortex lattice in a rotating BCS Fermi gas

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES; ELECTRON GAS; EQUATIONS OF STATE OF GASES; FERMIONS; GASES; QUANTUM THEORY;

EID: 33745896224     PISSN: 14346060     EISSN: 14346079     Source Type: Journal    
DOI: 10.1140/epjd/e2006-00110-7     Document Type: Article
Times cited : (39)

References (51)
  • 29
    • 33745929138 scopus 로고    scopus 로고
    • L. Pricoupenko, M. Olshanii, arXiv:cond-mat/0205210
    • L. Pricoupenko, M. Olshanii, arXiv:cond-mat/0205210
  • 34
    • 33745903200 scopus 로고    scopus 로고
    • note
    • At the border of the atomic cloud, the gap parameter assumes very small values, which locally (but not globally) invalidates the hydrodynamic approximation. Such a, failure of hydrodynamics close to the boundaries of a trapped gas is well-known for Bose condensates [27]. Moreover, hydrodynamics will fail when turbulence develops and vortices enter the cloud, since hydrodynamics does not include properly short length scale variations of |Δ|. For all these reasons, we have performed numerical simulations of the full time dependent BCS theory, as presented in this paper
  • 36
    • 33745911397 scopus 로고    scopus 로고
    • note
    • We note that the chemical potential μ is a function of the rotation frequency Ω, since we are here in a system with a fixed total number of particles. We do not need here the explicit expression for μ
  • 38
    • 33745902610 scopus 로고    scopus 로고
    • note
    • In this figure, it is not apparent that the very narrow tongues actually touch the ε = 0 axis; but this can be shown analytically, and the contact points are Ω = ω/√n, which is the value of the rotation frequency ensuring the resonance of the rotating anisotropy with the surface mode of frequency √nω in the lab frame [31]. Note also that the degrees n = 6 and n = 7 (not shown in the figure) have each an additional instability zone, however with very low values of the Lyapunov exponent (∼0.01ω) so of little physical relevance. We have not explored n ≥ 8
  • 39
    • 33745930904 scopus 로고    scopus 로고
    • S. Sinha, private communication
    • S. Sinha, private communication
  • 40
    • 85118959052 scopus 로고    scopus 로고
    • note
    • 3 + 7Ω, Ω being expressed in units of ω
  • 46
    • 33745922670 scopus 로고    scopus 로고
    • note
    • 0ρ/2. It tends to zero in the limit of a grid spacing l tending to zero, both in the 3D and 2D BCS theories. In 2D however, this convergence is only logarithmic so it can never be achieved in a practical numerical calculation. Keeping this mean field term introduces a, spurious dependence on l in the BCS equation of state. This, as we have checked numerically, leads to a spurious dependence on l of the density profile and the gap parameter for a stationary gas in the trap in the BCS approximation: we have therefore removed the mean field term. In an exact many-body solution of the lattice model, not relying on the Born approximation as the Hartree-Fock mean field term does, we do not expect such a slow convergence in the l → 0 limit
  • 48
    • 33745878901 scopus 로고    scopus 로고
    • G. Tonini, F. Werner, Y. Castin, arXiv:cond-mat/0504612 version 2
    • G. Tonini, F. Werner, Y. Castin, arXiv:cond-mat/0504612 version 2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.