  In this article, we examine entangled quantum probes in geodesic trajectories
in a background with gravitational wave (GW) burst. In particular, these
quantum probes are prepared initially either in the symmetric or anti-symmetric
Bell's states and we study the radiative process as the GW burst passes. Our
considered GW burst backgrounds have the profiles of -- Heaviside-theta,
$tanh$, Gaussian, and $sech$-squared functions respectively. The first two
burst profiles have an asymmetric nature and thus result in non-zero
gravitational wave memory. Whereas, for the last two symmetric profiles there
is no asymptotic memory. For eternal switching, our observations suggest that
the collective transition rate for the entangled probes due to symmetric GW
bursts remains the same as obtained in the flat space. Whereas, for asymmetric
bursts with memory, there is a finite change, indicating a direct possibility
to distinguish between the two above-mentioned scenarios. We also consider
finite switching in terms of Gaussian functions and observe characteristic
differences in the radiative process between the GW backgrounds with and
without memory. Notably, if the Gaussian switching is peaked much later
compared to the passing of GW, only memory profiles contribute to the radiative
process. We further discuss the physical implications of our findings.
