Non-Markovian jump processes in lasers

Abraham G. Kofman, Reuven Zaibel, Yehiam Prior +1 more

Yehiam Prior, Abraham G. Kofman, Reuven Zaibel +1 more

A new non Markovian, correlated jump model for phase fluctuations of an electromagnetic field is introduced'. The phase diffusion, generalized telegraph, Burshtein and Brownian-motion-like models are all obtained from this model in the proper limits. The spectrum and correlation functions of the stochastic field are predicted, and detailed lineshapes of the Mollow triplet of resonance fluorescence are given and shown to depend on the field intensity, a purely non Markovian effect. Two different experimental procedures are proposed for the determination of the stochastic parameters of a laser field.

L. A. Pokrovskii

Abraham G. Kofman, Reuven Zaibel, Alfred M. Levine +1 more

A new non-Markovian, correlated-jump model for phase fluctuations of an electromagnetic field is introduced. The phase-diffusion, generalized telegraph, Burshtein, and Brownian-motion-like models are all obtained from this model in the proper limits. The spectrum and correlation functions of the stochastic field are predicted, and detailed line shapes of the Mollow triplet of resonance fluorescence are given and shown to depend on the field intensity, a purely non-Markovian effect. Two different experimental procedures are proposed for the determination of the stochastic parameters of a laser field.

Heinz‐Peter Breuer, Daniel Faller, Bernd Kappler +1 more

Jaume Masoliver A

A method for the calculation of first-passage times for non-Markovian processes driven by continuous noise is presented. The input noise is identical to that of phase fluctuations in laser fields in the jump models. Both linear and nonlinear random processes are studied. In addition to the general formalism, some examples are worked out in detail.