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Bogoliubov Excitations of Inhomogen
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Abstract In this thesis, different
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Contents 2.5. Exact diagonalization
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Contents Bibliography 141 List of F
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1. Interacting Bose Gases—Complex
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1.2. Disorder 1.2. Disorder Idealiz
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1.4. Cold-atoms—Universal model s
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1.5. Cold atoms—History and key e
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1.5. Cold atoms—History and key e
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1.6. Standing of this work are rest
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1.6. Standing of this work The disc
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2. The Inhomogeneous Bogoliubov Ham
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2.1. Bose-Einstein condensation of
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2.1. Bose-Einstein condensation of
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2.2. Interacting BEC and Gross-Pita
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2.2. Interacting BEC and Gross-Pita
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2.2. Interacting BEC and Gross-Pita
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n(x) n∞ 1 0.8 0.6 0.4 0.2 0 -3 -2
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2.3. Bogoliubov Excitations and pha
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2.3. Bogoliubov Excitations At high
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„ Φq ′ ¯Φ q ′ « V „ Φq
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(2) k ′ q k = ξ2 � k ′′2 +
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k k ′ 2.4.1. Single scattering se
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2.4. Single scattering event back a
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k + − w (1) k ′ k (a) 2.4. Sing
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2.4. Single scattering event theory
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T 1 B 2 2.5. Exact diagonalization
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2.5. Exact diagonalization of the B
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2.5. Exact diagonalization of the B
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2.5. Exact diagonalization of the B
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2.5. Exact diagonalization of the B
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3. Disorder In the previous chapter
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3.1.1. Speckle amplitude 3.1. Optic
- Page 73 and 74: 3.1. Optical speckle potential In c
- Page 75 and 76: 3.2. A suitable basis for the disor
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- Page 79 and 80: 3.3. Effective medium and diagramma
- Page 81 and 82: 3.3. Effective medium and diagramma
- Page 83 and 84: 3.3. Effective medium and diagramma
- Page 85 and 86: 3.4. Deriving physical quantities f
- Page 87 and 88: 3.4. Deriving physical quantities f
- Page 89 and 90: Fixed particle number 3.4. Deriving
- Page 91 and 92: ρµξ d 0.2 0.15 0.1 0.05 1 2 3 4
- Page 93 and 94: 4. Disorder—Results and Limiting
- Page 95 and 96: 4.1. Hydrodynamic limit I: ξ = 0 t
- Page 97 and 98: 4.1. Hydrodynamic limit I: ξ = 0 T
- Page 99 and 100: 4.1. Hydrodynamic limit I: ξ = 0 I
- Page 101 and 102: ǫk 0.25 0.5 0.75 1 1.25 1.5 1.75 k
- Page 103 and 104: gd(κ) v 2 1.75 1.5 1.25 1 0.75 0.5
- Page 105 and 106: 4.2. Hydrodynamic limit II: towards
- Page 107 and 108: ∆ǫk ǫk �0.1 �0.2 �0.3 �
- Page 109 and 110: 1 0.5 0 -0.5 0 20 40 60 80 100 x/σ
- Page 111 and 112: ΛN �0.1 �0.2 �0.3 �0.4 4.3
- Page 113 and 114: nnc(V )−nnc(0) nnc(0) 1.2 1.15 1.
- Page 115 and 116: 4.4. Particle regime which coincide
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- Page 119 and 120: 0.02 0.015 0.01 0.005 MSg 0.01 0.1
- Page 121 and 122: 5. Conclusions and Outlook (Part I)
- Page 123: 5.3. Theoretical outlook potential.
- Page 128 and 129: 6. Bloch Oscillations and Time-Depe
- Page 130 and 131: 6. Bloch Oscillations and Time-Depe
- Page 132 and 133: 6. Bloch Oscillations and Time-Depe
- Page 134 and 135: 6. Bloch Oscillations and Time-Depe
- Page 136 and 137: 6. Bloch Oscillations and Time-Depe
- Page 138 and 139: 6. Bloch Oscillations and Time-Depe
- Page 140 and 141: 6. Bloch Oscillations and Time-Depe
- Page 142 and 143: 6. Bloch Oscillations and Time-Depe
- Page 144 and 145: 6. Bloch Oscillations and Time-Depe
- Page 146 and 147: λTB t/TB 0.15 0.05 70 60 50 40 30
- Page 148 and 149: 6. Bloch Oscillations and Time-Depe
- Page 150 and 151: A. List of Symbols and Abbreviation
- Page 152 and 153: 140 A. List of Symbols and Abbrevia
- Page 154 and 155: Bibliography [11] P. A. Lee and T.
- Page 156 and 157: Bibliography [35] M. Lewenstein, A.
- Page 158 and 159: Bibliography [58] J. Stenger, S. In
- Page 160 and 161: Bibliography [81] V. I. Yukalov and
- Page 162 and 163: Bibliography [108] A. Mostafazadeh,
- Page 164 and 165: Bibliography [131] F. Bloch, Über
- Page 167 and 168: Acknowledgments I thank everybody w