Backreaction equations for 1+1 dimensional BEC sonic black holes
Roberto Balbinot, Alessandro Fabbri, Giorgio Ciliberto, Nicolas Pavloff
Abstract
As in the gravitational context, one of the most challenging open question in analogue black holes formed in Bose-Einstein condensates concerns the backreaction of Hawking-like radiation on the condensate and its subsequent evolution. In this work we derive the basic equations describing this backreaction within the density-phase formalism, which avoids infrared divergences and is particularly well suited to one-dimensional configurations.