PhD thesis in English
PhD thesis in English
PhD thesis in English
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CONTENTS3.4.2 Time-of-flight graphs for BECs . . . . . . . . . . . . . . . . . 793.4.3 Overcritical rotation . . . . . . . . . . . . . . . . . . . . . . . 803.5 Conclusions and outlook . . . . . . . . . . . . . . . . . . . . . . . . . 824 Mean-field description of an <strong>in</strong>teract<strong>in</strong>g BEC 844.1 Gross-Pitaevskii equation . . . . . . . . . . . . . . . . . . . . . . . . . 884.2 F<strong>in</strong>ite-temperature properties of a BEC . . . . . . . . . . . . . . . . . 904.2.1 Almost-ideal model . . . . . . . . . . . . . . . . . . . . . . . . 914.2.2 Semi-ideal model . . . . . . . . . . . . . . . . . . . . . . . . . 924.2.3 TFSC model . . . . . . . . . . . . . . . . . . . . . . . . . . . 944.2.4 GPSC model . . . . . . . . . . . . . . . . . . . . . . . . . . . 954.2.5 Calculation of the condensation temperature . . . . . . . . . . 974.3 Experimental assessment of different models . . . . . . . . . . . . . . 1004.4 Conclusions and outlook . . . . . . . . . . . . . . . . . . . . . . . . . 1025 Nonl<strong>in</strong>ear BEC dynamics by harmonicmodulation of s-wave scatter<strong>in</strong>g length 1045.1 Variational description of low-ly<strong>in</strong>g modes . . . . . . . . . . . . . . . 1075.2 Harmonic modulation of the s-wave scatter<strong>in</strong>g length: experiment . . 1115.3 Harmonic modulation of the s-wave scatter<strong>in</strong>g length:theoretical framework . . . . . . . . . . . . . . . . . . . . . . . . . . . 1145.4 Spherically-symmetric BEC . . . . . . . . . . . . . . . . . . . . . . . 1175.4.1 Po<strong>in</strong>caré-L<strong>in</strong>dstedt method . . . . . . . . . . . . . . . . . . . . 1215.4.2 Results and discussion . . . . . . . . . . . . . . . . . . . . . . 1235.5 Axially-symmetric BEC . . . . . . . . . . . . . . . . . . . . . . . . . 1265.5.1 Po<strong>in</strong>caré-L<strong>in</strong>dstedt method . . . . . . . . . . . . . . . . . . . . 1265.5.2 Results and discussion . . . . . . . . . . . . . . . . . . . . . . 1295.6 Conclusions and outlook . . . . . . . . . . . . . . . . . . . . . . . . . 1326 Summary 134A Numerical solution of the GP equation 137B Time-dependent variational analysis 142List of papers by Ivana Vidanović 144xvi