Journal
PHYSICAL REVIEW A
Volume 92, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.92.012121
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Funding
- Imperial College Junior Research Fellowship
- L'Oreal UNESCO for Women in Science UK and Ireland Fellowship
- Royal Society University Research Fellowship [UF130339]
- Engineering and Physical Sciences Research Council via the Doctoral Research Allocation Grant [EP/K502856/1]
- Engineering and Physical Sciences Research Council [1231392] Funding Source: researchfish
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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 of a deformed su(2) 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 analyze 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 we derive an analytic expression for the many-particle density of states in the limit of large particle numbers.
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