Stochastic field-induced nonlocal resonances in four-wave mixing

Belsley, M., Kaczmarek, M. and Ewart, P. (2001) Stochastic field-induced nonlocal resonances in four-wave mixing. Physical Review A, 64 (6), 063806-[12pp]. (doi:10.1103/PhysRevA.64.063806).

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Abstract

We explore theoretically the signal generated by a fluctuating radiation field via a four-wave mixing process in an atomic vapor undergoing Markovian dephasing collisions. We consider specifically a broadband laser field well detuned from the atomic resonance and calculate the signal generated using counterpropagating pump fields as a function of the time delay of the incident probe field. We assume that the pulse duration is long compared to the correlation time of the incident fields. By considering the various time-ordered pathways and treating the incident-field amplitudes as random Gaussian variables, we find that the signal generated is dominated by two specific pathways that depend only on the incident-field bandwidth and the decay rate of the ground to excited state coherence. An interesting aspect of the far-impact-detuning case is that the signal is dominated by resonances involving spatially separated atoms. Our formalism provides a basis for describing the effects of mode correlations on four-wave-mixing signals generated by stochastic fields.

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Published date: December 2001

Additional Information: M. Belsley Departamento de F?´sica, Universidade do Minho, 4709 Braga, Portugal M. Kaczmarek Department of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom P. Ewart Oxford Institute for Laser Science, Clarendon Laboratory, University of Oxford, Oxford OX1 3PU, United Kingdom ~Received 17 August 1999; revised manuscript received 27 April 2001; published 14 November 2001!