- Page 1: Bogoliubov Excitations of Inhomogen
- Page 5: Abstract In this thesis, different
- Page 8 and 9: Contents 2.5. Exact diagonalization
- Page 10 and 11: Contents Bibliography 141 List of F
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- Page 74 and 75: 0.8 0.6 0.4 0.2 3. Disorder Cd(r/σ
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3. Disorder The difference resides
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3. Disorder 3.3. Effective medium a
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3. Disorder In this compact notatio
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70 3. Disorder Box 3.1: Feynman rul
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3. Disorder V 2 0 σ d Cd(qσ). We
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3. Disorder The poles of the averag
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3. Disorder backscattering length l
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3. Disorder Figure 3.4: Geometry of
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3. Disorder Disorder correction Wha
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4. Disorder—Results and Limiting
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4. Disorder—Results and Limiting
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1 kls µ 2 V 2 0 4. Disorder—Resu
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4. Disorder—Results and Limiting
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4. Disorder—Results and Limiting
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4. Disorder—Results and Limiting
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4. Disorder—Results and Limiting
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4. Disorder—Results and Limiting
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4. Disorder—Results and Limiting
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4. Disorder—Results and Limiting
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4. Disorder—Results and Limiting
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4. Disorder—Results and Limiting
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4. Disorder—Results and Limiting
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4. Disorder—Results and Limiting
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5. Conclusions and Outlook (Part I)
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5. Conclusions and Outlook (Part I)
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6. Bloch Oscillations and Time-Depe
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6.1. Introduction Figure 6.3: Sketc
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|Ψ(z)| 2 z 6.2. Model Figure 6.4:
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6.2. Model with 1/m(t) = 2 cos p(t)
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1/F η 0 −1/F 0 a b m−1 η gr g
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(a) g(t) = 0 (b) g(t) = 0.5 6.5. Co
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√ w 2 1 a.u. 0 -1 10 9.5 (2m) −
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x xB 1 0.5 0 �0.5 �1 5 10 15 20
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eigenvalues ρ + k ρ− k trace of
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1 0.01 0.0001 1e-06 1e-08 1e-10 k =
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ω 3 ωB 5 4 2 1 − cos(ωt) sin(
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A. List of Symbols and Abbreviation
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uν(r) Bogoliubov eigenstate, norma
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Bibliography [1] P. W. Anderson, Ab
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Bibliography [24] R. Kuhn, Coherent
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Bibliography [46] C. Chin, R. Grimm
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Bibliography [69] L. Sanchez-Palenc
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Bibliography [95] T. D. Lee, K. Hua
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Bibliography [120] E. Akkermans and
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[143] G. Teschl, Ordinary different
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Thanks to DAAD and Institut d’Opt