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The European Physical Journal B

The photon statistics of multiphoton lasers with single photon losses

A. Bandilla, H. Voigt

Published Jun 1, 1985• 6 citations
Publisher
DOI
10.1007/bf01304271

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Physical Review A•Dec 3, 2012•8 citations
For pt.I see ibid., vol.8, 104 (1974). Investigations into possible multiphoton laser systems are extended to a less restrictive class than considered in the previous paper. The loss mechanism for the light field is now taken to be a single-photon loss. These systems no longer preserve the property of detailed balance. Explicit solutions are given for the stationary photon distribution for the two-photon laser. This exhibits similar photon statistics to the usual one-photon laser, with no significant increase in relative fluctuations at threshold. The results are equally applicable to multiboson lasers involving say the simultaneous stimulated emission of a photon and a phonon.
Abstract An extension to the quantum-mechanical laser master equation for the density operator is derived to incorporate the beam-splitter effect caused by typical dielectric laser output couplers. This effect gives rise to a significant change in the photon statistical distribution of the part of the laser light reflected back into the resonator and, therefore, may have an influence on the total laser output photon statistics. Different cases without and with additional intra-cavity losses were discussed and their influence on the expected laser photon statistics was deduced. As a result, it was found that the well-known Poisson distribution of laser light is in most cases the result of additional losses or absorption, which act uncorrelatedly on single photons. In a laser with negligible additional losses where outcoupling is dominated by the beam-splitter effect, the photon statistics reveal to be mainly non-Poisson. A Poisson distribution would only occur for very low outcoupling rates, i.e., high finesse cavities. It is found that in the limit of strong outcoupling even the distribution of thermal light can result.
We propose a mechanism for producing NNN-photon states on demand leaking from a single-mode optical cavity interacting with a single atom and a laser pulse. The number of photons can be chosen because it is determined by the Zeeman substructure of the ground state of the atom and its initial state. The deterministic generation of traveling light of $1\ensuremath{\le}n\ensuremath{\le}2F$ photons is achieved, when a circularly polarized laser pulse completely transfers the atomic population between Zeeman sublevels of the ground hyperfine state FFF through far-detuned Raman scattering, thus producing linearly polarized cavity photons. We describe analytically the evolution of optical field taking into account the spontaneous losses and the cavity damping. We analyze the photon statistics showing that it is close to Poissonian light. We show also that this technique provides a deterministic source of a train of identical multiphoton states with a definite number of photons if a sequence of left- and right-circularly polarized laser pulses is applied. The scheme expands the possibilities for using complex internal states of light to transmit data.