Regensburg 2016 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 7: Cold Atomic Gases

TT 7.9: Talk

Monday, March 7, 2016, 12:30–12:45, H18

Semiclassical quantisation for a bosonic atom-molecule conversion system — Eva-Maria Graefe, •Alexander Rush, and Maria Graney — Imperial College, London, United Kingdom

In this talk I will consider a simple two state quantum model of atom-molecule conversion in cold atom systems, where bosonic atoms can combine into diatomic molecules and vice versa. The many-particle system can be expressed in terms of the generators of a deformed SU(2) algebra, and the mean-field dynamics takes place on a deformed version of the Bloch sphere resembling a teardrop, with a cusp singularity. I will demonstrate the mean-field and many-particle correspondence, showing how semiclassical methods can be used to recover features such as the many-particle spectrum from the mean-field description.