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$Edge excitations of paired fractional quantum Hall states$

REFERENCES[10] A. Bogojević, A. Balaž, and A. Belić, Systematically accelerated convergenceof path integrals, Phys. Rev. Lett. 94, 180403 (2005). vii, xii, 16, 21, 34, 65[11] A. Bogojević, I. Vidanović, A. Balaž, and A. Belić, Fast convergence of pathintegrals for many-body systems, Phys. Lett. A 372, 3341 (2008). vii, xii, 16,21, 34[12] V. Bretin, S. Stock, Y. Seurin, and J. Dalibard, Fast rotation of a Bose-Einstein condensate, Phys. Rev. Lett. 92, 050403 (2004). vii, xii, 17, 47, 49,58, 59, 62, 68, 70, 71[13] Gross E. P., Structure of a quantized vortex in boson systems, Nuovo Cimento20, 454 (1961). viii, xiii, 17, 88[14] Pitaevskii L. P., Vortex lines in an imperfect Bose gas, Sov. Phys. JETP 13,451 (1961). viii, xiii, 17, 88[15] S. E. Pollack, D. Dries, R. G. Hulet, K. M. F. Magalhães, E. A. L. Henn,E. R. F. Ramos, M. A. Caracanhas, and V. S. Bagnato, Collective excitationof a Bose-Einstein condensate by modulation of the atomic scattering length,Phys. Rev. A 81, 053627 (2010). viii, xiii, 17, 107, 112, 113, 114, 126, 131[16] M. R. Andrews, M.-O. Mewes, N. J. van Druten, D. S. Durfee, D. M. Kurn,and W. Ketterle, Direct, nondestructive observation of a Bose condensate,Science 273, 84 (1996). 2, 11[17] J. Klaers, J. Schmitt, F. Vewinger, and M. Weitz, Bose-Einstein condensationof photons in an optical microcavity, Nature (London) 468, 545 (2010). 3[18] V. Bagnato, D. E. Pritchard, and D. Kleppner, Bose-Einstein condensationin an external potential, Phys. Rev. A 35, 4354 (1987). 3[19] C. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases, CambridgeUniversity Press, Cambridge (2008). 3, 5, 6, 8, 13, 17, 57, 59, 86, 88,90, 106[20] W. Ketterle and N. J. van Druten, Bose-Einstein condensation of a finitenumber of particles trapped in one or three dimensions, Phys. Rev. A 54, 656(1996). 5147
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UNIVERSITY OF BELGRADEFACULTY OF PH
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Thesis advisor, Committee member:Dr
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lence for Computer Modeling of Comp
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dobijanje kondenzata odabrani su at
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Uticaj slabih interakcija na fenome
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Abstract of the doctoral dissertati
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highly accurate information on ener
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Keywords: cold quantum gases, Bose-
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CONTENTS3.4.2 Time-of-flight graphs
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NomenclatureRoman Symbolsagk BLMNn(
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Chapter 1Introduction1.1 ForewordTh
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ently explored to illustrate the ve
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Summations in the last expression c
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Figure 1.1: The hallmark of the Bos
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we discuss in some detail the exper
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In the first papers [3, 4], the TOF
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where a BG is the off-resonant scat
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system given by( ) ǫ Bog ⃗k =
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Having the efficient numerical meth
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Chapter 2Properties of quantum syst
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2. Diagonalization of Transition Am
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||2. Diagonalization of Transition
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magnetic field ⃗ B = 2M ⃗ Ω.3.
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3. Rotating ideal BECof the rotatio
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3. Rotating ideal BEC3.1 Numerical
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3. Rotating ideal BEC350300SC appro
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3. Rotating ideal BEC3.2 Finite num
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3. Rotating ideal BECN - N 03.0·10
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3. Rotating ideal BEC3.3 Global pro
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3. Rotating ideal BECever, it does
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3. Rotating ideal BECT c [nK]120110
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3. Rotating ideal BEC3.533210 3 κ
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3. Rotating ideal BECn(x, y)10·10
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3. Rotating ideal BECpancy numbers
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3. Rotating ideal BEC6·10 4 0 0.02
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Chapter 4Mean-field description of
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4. Mean-field description of an int
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Page 117 and 118: 4. Mean-field description of an int
Page 125 and 126: Chapter 5Nonlinear BEC dynamics by
Page 127 and 128: 5. BEC excitation by modulation of
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Page 155 and 156: Chapter 6SummarySince the first exp
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Page 161 and 162: (A.13). With another boundary condi
Page 163 and 164: Appendix B Time-dependent variation
Page 165 and 166: List of papers by Ivana VidanovićT
Page 167: References[1] S. N. Bose, Plancks g
Page 171 and 172: REFERENCES[45] A. Bogojević, A. Ba
Page 173 and 174: REFERENCES[70] M. R. Matthews, B. P
Page 175 and 176: REFERENCES[94] M.-O. Mewes, M. R. A
Page 177 and 178: REFERENCES[116] K. Staliunas, S. Lo
Page 179 and 180: CURRICULUM VITAE - Ivana Vidanović
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