메뉴 건너뛰기




Volumn 40, Issue 3, 2006, Pages 387-397

Anderson localization of elementary excitations in a one-dimensional Bose-Einstein condensate

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATION; WHITE NOISE;

EID: 33751579951     PISSN: 14346060     EISSN: 14346079     Source Type: Journal    
DOI: 10.1140/epjd/e2006-00166-3     Document Type: Article
Times cited : (57)

References (54)
  • 11
    • 33751583585 scopus 로고    scopus 로고
    • note
    • To our knowledge, this was first pointed out by G. Shlyapnikov (private communication)
  • 28
    • 33751562529 scopus 로고    scopus 로고
    • note
    • Note that this is an axial Thomas-Fermi approximation which is done when the transverse wave-function is far form the Thomas-Fermi regime. When the transverse component gets also in the Thomas-Fermi regime, equation (7) still holds, but the form of the sound velocity in (8) is modified (as discussed at the end of Sect. 3)
  • 31
    • 85118959395 scopus 로고    scopus 로고
    • note
    • 4D δ(x) which is equivalent to (10) if η(x) = U(x)/μ
  • 34
    • 85118959412 scopus 로고    scopus 로고
    • note
    • 0 ≃ 1, and from (29) α(x) is thus roughly similar to δn(x)
  • 36
    • 85118959312 scopus 로고    scopus 로고
    • note
    • impξ ≪ 1
  • 38
    • 0003625442 scopus 로고
    • Products of random matrices
    • Springer-Verlag, Berlin
    • 2 is a self averaging quantity, one could equivalently consider a single realization of the disorder with N = 50 × 2000, see, e.g., A. Crisanti, G. Paladin, A. Vulpiani, Products of Random Matrices, Springer Series in Solid State Sciences 104 (Springer-Verlag, Berlin, 1993)
    • (1993) Springer Series in Solid State Sciences , vol.104
    • Crisanti, A.1    Paladin, G.2    Vulpiani, A.3
  • 39
    • 85118959200 scopus 로고    scopus 로고
    • note
    • imp ≪ 1
  • 42
    • 33751572580 scopus 로고    scopus 로고
    • note
    • The Hannover experiment has the possibility of an additional optical lattice
  • 43
    • 85118958998 scopus 로고    scopus 로고
    • note
    • c what is denoted by Δz in this reference, there is a difference by a factor √2 in our definition of ξ and in the one used in reference [16]
  • 45
    • 33751584935 scopus 로고    scopus 로고
    • note
    • A possible way to further decrease the localization length would be to decrease the typical peak spacing of the speckle pattern
  • 46
    • 33751555145 scopus 로고    scopus 로고
    • note
    • The damping of the dipole oscillations are also studied for other amplitude of disorder in reference [15]: 〈U〉/μ = 0.4 and 1, but we cannot address these regimes, equation (43) being only valid if 2 〈U〉/μ ≪ 1
  • 49
    • 33751573376 scopus 로고    scopus 로고
    • private communication, in preparation
    • L. Sanchez-Palencia, et al., private communication, in preparation
    • Sanchez-Palencia, L.1
  • 54
    • 85118959100 scopus 로고    scopus 로고
    • note
    • imp} is always small


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.