  Quasiparticles in a Bose-Einstein condensate are sensitive to space-time
distortions. Gravitational waves can induce transformations on the state of
phonons that can be observed through quantum state discrimination techniques.
We show that this method is highly robust to thermal noise and depletion. We
derive a bound on the strain sensitivity that shows that the detection of waves
in the kHz regime is not significantly affected by temperature in a wide range
of parameters that are well within current experimental reach.
