  In an Anderson localized system, a quantum particle with a nonzero initial
velocity returns, on average, to its origin. This recently discovered behavior
is known as the quantum boomerang effect. Time reversal invariance was
initially thought to be a necessary condition for the existence of this
phenomenon. We theoretically analyze the impact of the symmetry breaking on the
phenomenon using a one-dimensional system with a spin-orbit coupling and show
that the time reversal invariance is not necessary for the boomerang effect to
occur.
