Stationary quantum statistics of a non-Markovian atom laser

Details Stationary quantum statistics of a non-Markovian atom laser Stationary quantum statistics of a non-Markovian atom laser

2002-10-31

arxiv.org/abs/cond-mat/0210688v1

Phys. Rev. A. 68, 063611 (2003)

Physics

Condensed Matter

Soft Condensed Matter

12 pages, 2 figures, submitted to PRA

Scientific paper

10.1103/PhysRevA.68.063611

We present a steady state analysis of a quantum-mechanical model of an atom laser. A single-mode atomic trap coupled to a continuum of external modes is driven by a saturable pumping mechanism. In the dilute flux regime, where atom-atom interactions are negligible in the output, we have been able to solve this model without making the Born-Markov approximation. The more exact treatment has a different effective damping rate and occupation of the lasing mode, as well as a shifted frequency and linewidth of the output. We examine gravitational damping numerically, finding linewidths and frequency shifts for a range of pumping rates. We treat mean field damping analytically, finding a memory function for the Thomas-Fermi regime. The occupation and linewidth are found to have a nonlinear scaling behavior which has implications for the stability of atom lasers.

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