Controlling the repetition rate of a mode-locked laser using an f-deformed Bose–Einstein condensate

Abstract

Investigations are made for the possibility of using an f-deformed Bose–Einstein condensate (BEC) inside the resonator of a mode-locked laser to achieve tunable control of the repetition rate. Slow light propagation of the probe field through the f-deformed BEC may lead to a large observable increase in the cavity round-trip delay and, therefore, to a reduction in the effective repetition rate of the laser. Conversely, negative propagation velocity through the f-deformed BEC can lead to a decrease in the cavity round-trip and to an increase in the effective repetition rate. Simulations are presented using an f-deformed BEC of Λ-type three-level atoms beyond the rotating wave approximation. Collisions between the atoms are considered as a special kind of f-deformation where the collision rate κ is regarded as the deformation parameter. In particular, it is found that the repetition rate can be controlled effectively by changing the collision rate κ, the total number of atoms N and the parameter λ for the counter-rotating terms.