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7
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41349117622
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D. Witthaut, M. Werder, S. Mossmann, H.J. Korsch, Phys. Rev. E 71, 036625 (2005)
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Phys. Rev. E
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Witthaut, D.1
Werder, M.2
Mossmann, S.3
Korsch, H.J.4
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10
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33244497829
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T. Paul, P. Leboeuf, N. Pavloff, K. Richter, P. Schlagheck, Phys. Rev. A 72, 063621 (2005)
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Phys. Rev. A
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Paul, T.1
Leboeuf, P.2
Pavloff, N.3
Richter, K.4
Schlagheck, P.5
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11
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-
33751583585
-
-
note
-
To our knowledge, this was first pointed out by G. Shlyapnikov (private communication)
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-
-
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15
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35949016155
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P. Sheng, B. White, Z.-Q. Zhang, G. Papanicolaou, Phys. Rev. B 34, 4757 (1986)
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Phys. Rev. B
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Sheng, P.1
White, B.2
Zhang, Z.-Q.3
Papanicolaou, G.4
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25
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0036819053
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J. Fortágh, H. Ott, S. Kraft, A. Günther, C. Zimmermann, Phys. Rev. A 66, 041604(R) (2002);
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Phys. Rev. A
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Fortágh, J.1
Ott, H.2
Kraft, S.3
Günther, A.4
Zimmermann, C.5
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28
-
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33751562529
-
-
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
-
-
note
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4D δ(x) which is equivalent to (10) if η(x) = U(x)/μ
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-
-
-
32
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0003866482
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-
Cambridge University Press, Cambridge
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C. Itzykson, J.M. Drouffe, Statistical field theory, (Cambridge University Press, Cambridge, 1989), Vol. 2
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(1989)
Statistical Field Theory
, vol.2
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Itzykson, C.1
Drouffe, J.M.2
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34
-
-
85118959412
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-
note
-
0 ≃ 1, and from (29) α(x) is thus roughly similar to δn(x)
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-
-
-
36
-
-
85118959312
-
-
note
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impξ ≪ 1
-
-
-
-
38
-
-
0003625442
-
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)
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(1993)
Springer Series in Solid State Sciences
, vol.104
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-
Crisanti, A.1
Paladin, G.2
Vulpiani, A.3
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39
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-
85118959200
-
-
note
-
imp ≪ 1
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-
-
-
40
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33646603273
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-
P.W. Anderson, D.J. Thouless, E. Abrahams, D.S. Fisher, Phys. Rev. B 22, 3519 (1980)
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(1980)
Phys. Rev. B
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, pp. 3519
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Anderson, P.W.1
Thouless, D.J.2
Abrahams, E.3
Fisher, D.S.4
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42
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-
33751572580
-
-
note
-
The Hannover experiment has the possibility of an additional optical lattice
-
-
-
-
43
-
-
85118958998
-
-
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]
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-
-
-
44
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0001699314
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M. Fliesser, A. Csordás, P. Szépfalusy, R. Graham, Phys. Rev. A 56, R2533 (1997)
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(1997)
Phys. Rev. A
, vol.56
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Fliesser, M.1
Csordás, A.2
Szépfalusy, P.3
Graham, R.4
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45
-
-
33751584935
-
-
note
-
A possible way to further decrease the localization length would be to decrease the typical peak spacing of the speckle pattern
-
-
-
-
46
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33751555145
-
-
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
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33751573376
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private communication, in preparation
-
L. Sanchez-Palencia, et al., private communication, in preparation
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-
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Sanchez-Palencia, L.1
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54
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85118959100
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note
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imp} is always small
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