PhD thesis in English

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$Edge excitations of paired fractional quantum Hall states$

REFERENCES[57] D. M. Ceperley, Path integrals in the theory of condensed helium, Rev. Mod.Phys. 67, 279 (1995). 34[58] M. Boninsegni, N. Prokof’ev, and B. Svistunov, Worm algorithm forcontinuous-space path integral Monte Carlo simulations, Phys. Rev. Lett.96, 070601 (2006). 34[59] A. Bogojević, A. Balaž, and A. Belić, Asymptotic properties of path integralideals, Phys. Rev. E 72, 036128 (2005). 36[60] SPEEDUP C and SCL BEC Mathematica codes,http://www.scl.rs/speedup/. 37, 41, 44, 49, 64, 123, 129[61] W. Janke and H. Kleinert, Convergent strong-coupling expansions from divergentweak-coupling perturbation theory, Phys. Rev. Lett. 75, 2787 (1995).37, 39[62] LAPACK – Linear Algebra PACKage, http://www.netlib.org/lapack/. 41,49[63] I. S. Gradshteyn and I. M. Ryzhik, Table of integrals, series, and products,Academic Press, San Diego (2000). 43, 95[64] S. Stock, B. Battelier, V. Bretin, Z. Hadžibabić, and J. Dalibard, Bose-Einsteincondensates in fast rotation, Las. Phys. Lett. 2, 275 (2005). 47, 49[65] S. Kling and A. Pelster, Thermodynamical properties of a rotating ideal Bosegas, Phys. Rev. A 76, 023609 (2007). 47, 59, 68, 71, 73, 74, 75, 76, 80[66] T. H. Seligman, J. J. M. Verbaarschot, and M. R. Zirnbauer, Quantum spectraand transition from regular to chaotic classical motion, Phys. Rev. Lett. 53,215 (1984). 53[67] U. Schollwöck, The density-matrix renormalization group, Rev. Mod. Phys.77, 259 (2005). 56[68] A. L. Fetter, Rotating trapped Bose-Einstein condensates, Rev. Mod. Phys.81, 647 (2009). 57[69] K. W. Madison, F. Chevy, W. Wohlleben, and J. Dalibard, Vortex formationin a stirred Bose-Einstein condensate, Phys. Rev. Lett. 84, 806 (2000). 57151
REFERENCES[70] M. R. Matthews, B. P. Anderson, P. C. Haljan, D. S. Hall, C. E. Wieman,and E. A. Cornell, Vortices in a Bose-Einstein condensate, Phys. Rev. Lett.83, 2498 (1999). 57[71] A. A. Abrikosov, On the magnetic properties of superconductors of the secondgroup, Sov. Phys. JETP 5, 1174 (1957). 57[72] J. R. Abo-Shaeer, C. Raman, J. M. Vogels, and W. Ketterle, Observation ofvortex lattices in Bose-Einstein condensates, Science 292, 476 (2001). 57[73] S. Viefers, Quantum Hall physics in rotating BoseEinstein condensates, J.Phys.- Condens. Matter 20, 123202 (2008). 57[74] A. L. Fetter, Rotating vortex lattice in a Bose-Einstein condensate trappedin combined quadratic and quartic radial potentials, Phys. Rev. A 64, 063608(2001). 58[75] K. Howe, A. R. P. Lima, and A. Pelster, Rotating Fermi gases in an anharmonictrap, Eur. Phys. J. D 54, 667 (2009). 83[76] M. Holzmann, W. Krauth, and M. Naraschewski, Precision Monte Carlo testof the Hartree-Fock approximation for a trapped Bose gas, Phys. Rev. A 59,2956 (1999). 84, 97[77] W. Krauth, Quantum Monte Carlo calculations for a large number of bosonsin a harmonic trap, Phys. Rev. Lett. 77, 3695 (1996). 84[78] S. Giorgini, L. Pitaevskii, and S. Stringari, Thermodynamics of a trappedBose-condensed gas, J. Low Temp. Phys. 109, 309 (1997). 84, 87, 101[79] V. I. Yukalov, Principal problems in Bose-Einstein condensation of dilutegases, Las. Phys. Lett. 1, 435 (2004). 85[80] N. Tammuz, R. P. Smith, R. L. D. Campbell, S. Beattie, S. Moulder, J. Dalibard,and Z. Hadžibabić, Can a Bose gas be saturated?, Phys. Rev. Lett.106, 230401 (2011). 85, 102[81] R. P. Smith, R. L. D. Campbell, N. Tammuz, and Z. Hadžibabić, Effects ofinteractions on the critical temperature of a trapped Bose gas, Phys. Rev.Lett. 106, 250403 (2011). 85, 102152
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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 125 and 126: Chapter 5Nonlinear BEC dynamics by
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Page 155 and 156: Chapter 6SummarySince the first exp
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Page 163 and 164: Appendix B Time-dependent variation
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Page 167 and 168: References[1] S. N. Bose, Plancks g
Page 169 and 170: REFERENCES[21] W. Ketterle, D. S. D
Page 171: REFERENCES[45] A. Bogojević, A. Ba
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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