Quantum properties of Bose-Einstein condensates coupled to semiconductor heterojunctions

摘要: In this thesis, we present a theoretical study of the effects that current-carrying Two-Dimensional Electron Gas (2DEG) produce on neighbouring magnetically trapped Bose-Einstein Condensate alkali atoms (BEC). We suggest technology used for magnetic micro-controlling cold gases could be improved by replacing or combining metallic wires in such structures with 2DEG-based conductors quantum electronic devices. All calculations presented thesis consider parameters attainable technology, suggesting experimental realization scenarios proposed here is already feasible. In Chapter one general context which developed. It includes definition condensate state, description principles trapping and brief review developments area micromanipulation atomic BECs. two devoted to describe characteristics heterojunction considered simple model evaluate electron flow 2DEG it contains. three shows detail properties configurations afterwards. We applications can developed bringing BEC near current carrying 2DEG. Firstly, four, demonstrate feasibility creating potentials using an external field. identify advantages trap over traditional metal-based traps conditions needed operability. Recently techniques field microscopy BECs motivate our second application, namely, probe transport 2DEGs structural heterojunction. In five, how quantization conductance occurring Quantum Point Contacts (QPC) fabricated from 2DEG, detected through localized depletion caused small inhomogeneity originates QPC. addition, show density fluctuations measured detecting corresponding inhomogeneous produced when flows, via modulation BEC’s density. establish under sensitive response possible. also derive relation between affecting distribution ionized donors heterojunction. Creating semiconductor-cold-atom hybrid systems, where electrons semiconductor are coupled each other, requires full understanding both systems. Since typical micro-traps have elongated geometry, six phase correlations geometries. To do this, use recently effective one-dimensional equation takes into account 3D character BEC. Finally, seven, conclude directions future work emerging thesis.