메뉴 건너뛰기




Volumn 70, Issue 6, 2004, Pages

Vortices in spatially inhomogeneous superfluids

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; APPROXIMATION THEORY; FERMI LEVEL; GAS CONDENSATES; GRAPH THEORY; HARMONIC ANALYSIS; KINETIC ENERGY; QUANTUM THEORY; ROTATION; TOPOLOGY;

EID: 42749106240     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.063620     Document Type: Article
Times cited : (77)

References (51)
  • 10
    • 13544254170 scopus 로고    scopus 로고
    • J. R. Anglin and M. Crescimanno, e-print cond-mat/0210063
    • J. R. Anglin and M. Crescimanno, e-print cond-mat/0210063.
  • 13
    • 13544254171 scopus 로고    scopus 로고
    • note
    • s(r) inhomogeneities is due to the lowering of the loss of condensation energy (i.e., an increase in condensation energy) when the "normal" vortex core spatially coincides with the material inhomogeneity. Because vortex motion generates electric fields (Josephson relation), vortex pinning is in fact crucial for type-II superconductivity.
  • 14
    • 13544265222 scopus 로고    scopus 로고
    • note
    • 2.
  • 15
    • 13544263122 scopus 로고    scopus 로고
    • note
    • 2 saturates, approaching a constant. This was also independently shown in a complementary Thomas-Fermi approximation by Fischer and Baym [42].
  • 16
    • 13544267321 scopus 로고    scopus 로고
    • Gordon Baym and C. J. Pethick, e-print cond-mat/0308325
    • Gordon Baym and C. J. Pethick, e-print cond-mat/0308325.
  • 18
    • 0000074584 scopus 로고
    • V. K. Tkachenko, Zh. Eksp. Teor. Fiz. 49, 1875 (1965) [Sov. Phys. JETP 22, 1282 (1966)].
    • (1966) Sov. Phys. JETP , vol.22 , pp. 1282
  • 21
    • 0001948185 scopus 로고    scopus 로고
    • B. Y. Rubinstein and L. M. Pismen, Physica D 78, 1 (1994); see also L. M. Pismen, Vortices in Nonlinear Fields (Oxford University, New York, 1999).
    • (1994) Physica D , vol.78 , pp. 1
    • Rubinstein, B.Y.1    Pismen, L.M.2
  • 22
    • 0001948185 scopus 로고    scopus 로고
    • Oxford University, New York
    • B. Y. Rubinstein and L. M. Pismen, Physica D 78, 1 (1994); see also L. M. Pismen, Vortices in Nonlinear Fields (Oxford University, New York, 1999).
    • (1999) Vortices in Nonlinear Fields
    • Pismen, L.M.1
  • 28
    • 1642331498 scopus 로고    scopus 로고
    • Anatoly A. Svidzinsky and Alexander L. Fetter, Phys. Rev. Lett. 84, 5919 (2000); Phys. Rev. A 62, 063617 (2000).
    • (2000) Phys. Rev. A , vol.62 , pp. 063617
  • 31
    • 13544268235 scopus 로고    scopus 로고
    • note
    • The energy density for the Bose condensate can be straightfor-wardly obtained from a standard interacting boson Hamiltonian, with boson operators approximated by a classical condensate field, appropriate for the BEC state. Equivalently, the same result can be obtained from a mean-field approximation to the coherent-state path integral for the partition function for the interacting boson problem.
  • 32
    • 13544273723 scopus 로고    scopus 로고
    • note
    • s(r)] analysis breaks down near the edge of the condensate, where the corrections to the uniform vortex density and rigid-body superfluid velocity are large.
  • 35
    • 13544277281 scopus 로고    scopus 로고
    • note
    • We must remark that, since N is a discrete variable, in actuality one expects steps in N as a function of Ω (see, e.g., Fig. 2 of Ref. [33]) which become negligible at large Ω.
  • 37
    • 13544256158 scopus 로고    scopus 로고
    • note
    • In fact, for a vortex in a finite but homogeneous superfluid (e.g., helium in a "bucket," for which the superfluid density is finite at the boundary, vanishing only over an atomic length scale), the vanishing-current boundary condition is crucial for obtaining the correct single-vortex energy and dynamics (e.g., the precession of an off-axis vortex). These are strongly affected by the interaction of the vortex with its image vortex introduced to enforce the above boundary condition.
  • 39
    • 13544252359 scopus 로고    scopus 로고
    • note
    • This is up to a curl-free vector field V(r,π)π with V(r,π) chosen to match onto the inner solution.
  • 40
    • 13544277280 scopus 로고    scopus 로고
    • note
    • s(r) with a Gauss ian "bump"on top of a uniform profile varying on long length scales, as considered in Sec. V B 3 in the case of many vortices in an inhomogeneous condensate.
  • 43
    • 13544263123 scopus 로고    scopus 로고
    • note
    • For the case of a uniform lattice (u=0), Tkachenko [17] has shown that Eq. (64a) along with Eq. (66) emerges formally from a small-z expansion of his exact expression for the phase gradient of a uniform vortex array written in terms of the Weierstrass zeta function ζ(z).
  • 46
    • 13544257939 scopus 로고    scopus 로고
    • note
    • T.
  • 50
    • 13544269144 scopus 로고    scopus 로고
    • note
    • Quantitative measurement of the rotation rate Ω is in fact quite difficult, as it is typically experimentally determined by the cloud aspect ratio with error bars that grow with decreasing Ω [6,7].


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.