Backreaction equations for 1+1 dimensional BEC sonic black holes
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.
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