  Proposals for quantum information processing often require the development of
new quantum tech- nologies. However, here we build quantum memory by ultracold
atoms in one-dimensional optical lattices with existing state-of-the-art
technology. Under a parabolic external field, we demonstrate that an arbitrary
initial state at an end of the optical lattices can time-evolve and revive,
with very high fidelity, at predictable discrete time intervals. Physically,
the parabolic field, can catalyze a breathing pattern. The initial state is
memorized by the pattern and can be retrieved at any of the revival time
moments. In comparison with usual time-independent memory, we call this a
dynamical memory. Furthermore, we show that the high fidelity of the quantum
state at revival time moments is fault-tolerant against the fabrication defects
and even time-dependent noise.
