Document Type thesis Author Name Pulido, Daniel URN etd-0430103-095432 Title Instability in a Cold Atom Interferometer Degree MS Department Mathematical Sciences Advisors Mayer Humi, Advisor Alex Zozulya, Co-Advisor Bogdan Vernescu, Department Head Keywords interferometry bose-einstein condensation Date of Presentation/Defense 2003-04-30 Availability unrestricted
In this thesis we present a theoretical analysis of the instability in a cold atom interferometer. Interferometers are often used to split a signal (e.g. optical beam, matter wave), where each part of the signal evolves separately, then the interferometer recombines the signal. Interference effects from the recombination can be used to extract information about the different environments the the split signal traversed. The interferometer considered here splits a matter wave, the wave function of a Bose-Einstein Condensate, by using a guiding potential and then recombines the matter wave. The recombination process is shown to be unstable and the nature of the instability is characterized.
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