Meissner effect in superconducting microtraps [Elektronische Ressource] / vorgelegt von Daniel Cano

Meissner efiect insuperconducting microtrapsDissertationzur Erlangung des Grades eines Doktorsder Naturwissenschaftender Fakult˜at fur˜ Mathematik und Physikder Eberhard-Karls-Universit˜at zu Tubingen˜vorgelegt vonDaniel Canoaus Palencia2009Tag der mundlic˜ hen Prufung:˜ 30. April 2009Dekan: Prof. Dr. Wolfgang Knapp1. Berichterstatter: Prof. Dr. J¶ozsef Fort¶agh2. Berich Prof. Dr. Dieter Koelle3. Berichterstatter: Prof. Dr. Halina Rubinsztein-Dunlop2Contents1 Introduction 12 Computer simulations of superconducting atom chips 52.1 The London theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52.2 Numerical method for calculating superconducting current densities . . . . 62.2.1 Parallel thin-fllm wires with applied currents . . . . . . . . . . . . . 72.2.2 Thin fllms in inhomogeneous magnetic fleld . . . . . . . . . . . . . . 92.3 The principle of magnetic trapping . . . . . . . . . . . . . . . . . . . . . . . 122.4 Magnetic guide in a superconducting chip . . . . . . . . . . . . . . . . . . . 132.5 Homogeneous ofiset fleld to reduce Majorana losses . . . . . . . . . . . . . . 182.6 Longitudinal conflnement in a superconducting chip . . . . . . . . . . . . . 182.7 Magnetic microtrap on a sup atom chip . . . . . . . . . . . . . 212.8 microtraps generated by superconducting loops . . . . . . . . . . 243 Experimental apparatus for superconducting atom chips 273.1 Ultra high vacuum . . . . . . . . . . . . . . . . . . . . . . . . . . . .