Propagation of a probe pulse inside a Bose–Einstein condensate under conditions of electromagnetically induced transparency

Abstract

We obtain a partial differential equation for a pulse travelling inside a Bose-Einstein condensate under conditions of electromagnetically induced transparency. The equation is valid for a weak probe pulse. We solve the equation for the case of a three-level BEC in Λ configuration with one of its ground state spatial profiles initially constant. The solution characterizes, in detail, the effect that the evolution of the condensate wave function has on pulse propagation, including the process of stopping and releasing it.

Cold matter, quantum optics, and quantum information in Mexico

“…A study of the propagation of weak probe pulses inside a 3-level Bose-Einstein condensate (BEC) under conditions of electromagnetically induced transparency was made. The obtained results can be used to store and manipulate light information in BECs because they indicate clearly how the parameters of the system affect the propagation of the probe pulse [1]. In the article, a research of quantum fluids confined in optical lattices has been presented with the purpose to understand phases of ultra cold atoms of the system in relation with the lattice structure, the interaction between the particles and the disorder external potential.…”