Stationary quantum statistics of a non-Markovian atom laser

Abstract

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.

arXiv comment12 pages, 2 figures, submitted to PRA

References in corpus (11)

• Theory of Bose-Einstein condensation in trapped gases
• An Atom Laser with a cw Output Coupler
• The Born and Markov approximations for atom lasers
• Output of a pulsed atom laser
• The steady state quantum statistics of a non-Markovian atom laser
• Atom laser coherence and its control via feedback
• The Markov approximation for the atomic output coupler
• Stability of continuously pumped atom lasers
• Continuous optical loading of a Bose-Einstein Condensate
• Loading a continuous-wave atom laser by optical pumping techniques
• Effects of interatomic collisions on atom laser outcoupling

Cited by in corpus (5)

• Physics with Coherent Matter Waves
• Theoretical tools for atom laser beam propagation
• Semiclassical limits to the linewidth of an atom laser
• Multimode quantum limits to the linewidth of an atom laser
• Stabilizing an atom laser using spatially selective pumping and feedback