  The development of ultracold atom technology has enabled the precise
investigations on quantum dynamics of quantum gases. Recently, inspired by
experimental advancement, the $SU(1,1)$ echo, akin to the well-known $SU(2)$
spin echo, has been proposed for single-component Bose-Einstein condensate
(BEC). In this paper, we investigate the possibility of quantum echo in the
more intricate two-component BEC by fully exploiting its underlying symmetry,
which is the Lie group $Sp(4,R)$. We demonstrate that quantum echo can occur
for the two-component BEC by applying a driving protocol consisting of two
steps in each period. The first step can be any Bogoliubov Hamiltonian, while
the second step is a Hamiltonian with interactions turned off, which plays a
similar role as the $\pi$-pulse in spin echo. We confirm our theoretical
results with numerical calculations for different examples of two-component
BEC. We further consider the effect of interactions between the excited boson
modes on the quantum echo process and discuss the possible experiment
implementation of this quantum echo.
