Seminars & Lectures
* TITLE | Stability of time-dependent states of spin-1 Bose-Einstein condensates | ||||||
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* DATE / TIME | 2011-05-16, 2:00pm | ||||||
* ABSTRACT | |||||||
Bose-Einstein condensate is system of particles cooled down to a temperature very close to the absolute zero. Under these circumstances, the system undergoes a phase transition into a many-particle state which can be described by a single-particle wave function. This makes possible to observe experimentally quantum mechanical phenomena which would be hard or impossible to see in a single-particle system. A spinor Bose-Einstein condensate is a system where the condensed particles possess a spin degree of freedom and the system is described by a single-particle wave function with 2F+1 components, F being is the spin of the atoms. Typically F=1 or F=2. In this talk, I will present results concerning the stability of time-dependent states of spin-1 spinor Bose-Einstein condensates. To date, the work on the stability of spinor condensates has been mainly concentrated on the stability of stationary, time-independent states. In this work, the stability of states whose spin populations and phases are time-dependent is studied. This is done by performing the stability analysis in a frame of reference where the state in question is stationary. In particular, the effect of an external magnetic field is studied. It is found that a non-zero magnetic field gives rise to an instability which is not present at zero magnetic field. Furthermore, the magnetic field dependence of the wavelengths of the unstable perturbations is obtained. |