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arXiv:quant-ph/0505011 · Optics Communications

Phase-space analysis of bosonic spontaneous emission

M. K. Olsen, Lev I. Plimak, S. Rebić, Ashton S. Bradley

Published Jul 2, 2005• 15 citations
arXivHTMLPDF
DOI
10.1016/j.optcom.2005.06.006

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An analytical steady-state distribution for the phase difference \ensuremath{\psi} in a correlated spontaneous-emission laser (CEL) is derived based on the amplitude and phase equations of a CEL. This distribution is shown to be an excellent approximation to that obtained from a numerical simulation of the complete set of CEL equations. In particular, the effects of amplitude noise on CEL operation are considered and it is shown that fluctuations in the relative amplitude are also noise quenched.
We study the possibility to enhance the phase-space density of noninteracting particles submitted to a classical laser field without spontaneous emission. We clearly state that, when no spontaneous emission is present, a quantum description of the particle motion is more reliable than semiclassical description, which can lead to large errors especially if no care is taken to smooth structures smaller than the Heisenberg uncertainty principle. Whatever the definition of position-momentum phase-space density, its gain is severely bounded especially when started from a thermal sample. More precisely, the maximum of the position-momentum phase-space density can only increase by a factor MMM for MMM-level particles. This bound comes from a transfer between the external and internal degrees of freedom. Therefore, it is impossible to increase the position-momentum phase-space density in the same internal state.