The steady state quantum statistics of a non-Markovian atom laser

Abstract

We present a fully quantum mechanical treatment of a single-mode atomic cavity with a pumping mechanism and an output coupling to a continuum of external modes. This system is a schematic description of an atom laser. In the dilute limit where atom-atom interactions are negligible, we have been able to solve this model without making the Born and Markov approximations. When coupling into free space, it is shown that for reasonable parameters there is a bound state which does not disperse, which means that there is no steady state. This bound state does not exist when gravity is included, and in that case the system reaches a steady state. We develop equations of motion for the two-time correlation in the presence of pumping and gravity in the output modes. We then calculate the steady-state output energy flux from the laser.

14 pages (twocloumn), 6 figures

References in corpus (8)

• An Atom Laser with a cw Output Coupler
• Non-Markovian Quantum Fluctuations and Superradiance Near a Photonic Band Edge
• The Born and Markov approximations for atom lasers
• Generic model of an atom laser
• Output of a pulsed atom laser
• Decoherence of Bose-Einstein condensates in traps at finite temperature
• Output coupling for an atom laser by state change
• The Markov approximation for the atomic output coupler

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