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arXiv:physics/9802008

The steady state of a pumped and damped atom laser

J. J. Hope, G. M. Moy, Craig M. Savage

Published Feb 4, 1998• 0 citations
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Abstract

This paper has been withdrawn, as further work has shown that an atom laser as described by the model herein does not have a steady state, so it doesn't matter much what it would look like.
DOI
10.48550/arxiv.physics/9802008

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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 find an analytic form for the linewidth and frequency shift of the laser. This result does not make the Born-Markov approximation, but is based on the far less restrictive ``self-consistent 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.
Under the conditions of the rotatingwave,slowly varying envelope approximations.It was found that Variation of the driving field Rabi frequency doesn′t vary the oscillation (or nonoscillation) characteristic of the atomic response time evolution and the time needed for reaching to steady state,but will vary size of the oscillation frequency and steady value;increase of incoherent pumping rate doesn′t vary the oscillation frequency and steady value,but will make oscillation times decreasing,oscillation amplitude reducing,time needed for reaching to steady value shorting,however,the steady value of each atomic response doesn′t increase or decrease monotonously with incoherent pumping rate increasing;variation of initial condition of the system doesn′t vary the law of time evolution of atomic response and the steady value of each atomic response.