Quantum simulation of cosmic inflation in two-component Bose-Einstein condensates

Generalizing the one-component case, we demonstrate that the propagation of sound waves in two-component Bose-Einstein condensates can also be described in terms of effective sonic geometries under appropriate conditions. In comparison with the one-component case, the two-component setup offers more flexibility and several advantages. In view of these advantages, we propose an experiment in which the evolution of the inflaton field, and thereby the generation of density quantum fluctuations in the very early stages of our universe during inflation, can be simulated, realizing a {\em quantum simulation via analogue gravity models}.