Semiclassical quantisation for a bosonic atom-molecule conversion system
Abstract
We consider a simple quantum model of atom-molecule conversion where bosonic atoms can combine into diatomic molecules and vice versa. The many-particle system can be expressed in terms of the generators a deformed algebra, and the mean-field dynamics takes place on a deformed version of the Bloch sphere, a teardrop shaped surface with a cusp singularity. We analyse the mean-field and many-particle correspondence, which shows typical features of quantum-classical correspondence. We demonstrate that semiclassical methods can be employed to recover full many-particle features from the mean-field description in cold atom systems with atom-molecule conversion, and derive an analytic expression for the many-particle density of states in the limit of large particle numbers.
Cite
@article{arxiv.1505.03351,
title = {Semiclassical quantisation for a bosonic atom-molecule conversion system},
author = {Eva-Maria Graefe and Maria Graney and Alexander Rush},
journal= {arXiv preprint arXiv:1505.03351},
year = {2015}
}
Comments
10 pages, 10 figures, corrected typos, further small changes, similar to published version