Ensemble master equation for a trapped-atom clock with one- and two-body losses
arXiv:1609.05232 · doi:10.1103/PhysRevA.89.023615
Abstract
An ensemble density matrix model that includes one- and two-body losses is derived for a trapped-atom clock. A trapped-atom clock is mainly affected by one- and two-body losses, generally giving nonexponential decays of populations; nevertheless, three-body recombination is also quantitatively analyzed to demonstrate the boundaries of its practical relevance. The importance of one-body losses is highlighted without which population trapping behavior would be observed. The model is written with decay constants expressed through experimental parameters. It can complement, e.g., the ISRE (identical spin rotation effect) model to improve its predictions: ISRE dramatically increases the ensemble coherence time, hence it enables one to observe the influence of two-body losses on the interferometry contrast envelope. The presented model is useful for Ramsey interferometry and is ready for immediate experimental verification in existing systems.
References in corpus (5)
- Coherent collisional spin dynamics in optical lattices
- Quantum turbulence and correlations in Bose-Einstein condensate collisions
- Spin-dependent inelastic collisions in spin-2 Bose-Einstein condensates
- Functional Wigner representation of BEC quantum dynamics
- Spin waves and Collisional Frequency Shifts of a Trapped-Atom Clock