Numerical analysis of backreaction in acoustic black holes

TL;DR

This paper numerically computes the first-order quantum corrections to fluid motion in acoustic black holes, analyzing backreaction effects from emitted phonons in both dynamic and equilibrium states.

Contribution

It introduces a numerical approach to evaluate quantum backreaction in acoustic black holes, a novel application of quantum field theory in fluid dynamics.

Findings

Quantum corrections influence fluid motion in acoustic black holes.

Backreaction effects are characterized in both time-dependent and equilibrium states.

Results provide insights into phonon emission and its impact on the system's dynamics.

Abstract

Using methods of Quantum Field Theory in curved spacetime, the first order in hbar quantum corrections to the motion of a fluid in an acoustic black hole configuration are numerically computed. These corrections arise from the non linear backreaction of the emitted phonons. Time dependent (isolated system) and equilibrium configurations (hole in a sonic cavity) are both analyzed.