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- Page 4: 7 Bogoliubov excitations of Bloch s
- Page 10 and 11: 6 Introduction Using the same exper
- Page 12 and 13: 8 Introduction looking for solution
- Page 14 and 15: 10 Vortex nucleation 2.1 Single vor
- Page 16 and 17: 12 Vortex nucleation Here, we have
- Page 18 and 19: 14 Vortex nucleation excitation of
- Page 20 and 21: 16 Vortex nucleation term in (2.27)
- Page 22 and 23: 18 Vortex nucleation 0.00 ⊕ +0.02
- Page 24 and 25: 20 Vortex nucleation a comment made
- Page 27: Part II Bose-Einstein condensates i
- Page 30 and 31: 26 Introduction where |0〉 denotes
- Page 32 and 33: 28 Introduction same condensate wav
- Page 34 and 35: 30 Introduction We develop simple t
- Page 36 and 37: 32 Introduction
- Page 38 and 39: 34 Single particle in a periodic po
- Page 40 and 41: 36 Single particle in a periodic po
- Page 42 and 43: 38 Single particle in a periodic po
- Page 44 and 45: 40 Single particle in a periodic po
- Page 46 and 47: 42 Single particle in a periodic po
- Page 48 and 49: 44 Single particle in a periodic po
- Page 50 and 51: 46 Single particle in a periodic po
- Page 52 and 53: 48 Groundstate of a BEC in an optic
- Page 54 and 55: 50 Groundstate of a BEC in an optic
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52 Groundstate of a BEC in an optic
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54 Groundstate of a BEC in an optic
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56 Groundstate of a BEC in an optic
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58 Groundstate of a BEC in an optic
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60 Groundstate of a BEC in an optic
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62 Groundstate of a BEC in an optic
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64 Stationary states of a BEC in an
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66 Stationary states of a BEC in an
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68 Stationary states of a BEC in an
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70 Stationary states of a BEC in an
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72 Stationary states of a BEC in an
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74 Stationary states of a BEC in an
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76 Stationary states of a BEC in an
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78 Stationary states of a BEC in an
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80 Stationary states of a BEC in an
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82 Stationary states of a BEC in an
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84 Bogoliubov excitations of Bloch
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86 Bogoliubov excitations of Bloch
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88 Bogoliubov excitations of Bloch
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90 Bogoliubov excitations of Bloch
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92 Bogoliubov excitations of Bloch
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94 Bogoliubov excitations of Bloch
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96 Bogoliubov excitations of Bloch
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98 Bogoliubov excitations of Bloch
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100 Bogoliubov excitations of Bloch
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102 Linear response - Probing the B
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104 Linear response - Probing the B
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106 Linear response - Probing the B
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108 Linear response - Probing the B
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110 Linear response - Probing the B
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112 Linear response - Probing the B
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114 Linear response - Probing the B
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116 Macroscopic Dynamics analytical
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118 Macroscopic Dynamics condensate
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120 Macroscopic Dynamics The appear
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122 Macroscopic Dynamics 9.5 Small
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124 Macroscopic Dynamics Let us con
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126 Macroscopic Dynamics breathing
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128 Macroscopic Dynamics m*/m 2.0 1
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130 Macroscopic Dynamics Large ampl
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132 Macroscopic Dynamics
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134 Array of Josephson junctions Th
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136 Array of Josephson junctions No
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138 Array of Josephson junctions th
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140 Array of Josephson junctions Fo
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142 Array of Josephson junctions
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time → 144 Sound propagation in p
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146 Sound propagation in presence o
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148 Sound propagation in presence o
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150 Sound propagation in presence o
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152 Sound propagation in presence o
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154 Sound propagation in presence o
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156 Sound propagation in presence o
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158 Sound propagation in presence o
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160 Condensate fraction 12.1 Quantu
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162 Condensate fraction This expres
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164 Condensate fraction where g1d =
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166 Condensate fraction 12.4 Tight
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168 Condensate fraction depletion (
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170 Condensate fraction we obtain
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172 Condensate fraction confirming
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[14] G. Hechenblaikner, E. Hodby, S
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[46] A.A. Svidzinsky and A.L. Fette
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[77] M. Cristiani, O. Morsch, N. Ma
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[108] J.C. Bronski, L.D. Carr, B. D
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[140] T.-L. Ho and M. Ma, Quasi 1 a
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Acknowledgements I would like to th