  Quantum memory is a crucial component of a quantum information processor,
just like a classical memory is a necessary ingredient of a conventional
computer. Moreover, quantum memory of light would serve as a quantum repeater
needed for quantum communication networks. Here we propose to realize the
quantum memory coupled to magnetic modes of electromagnetic radiation (e.g.
those found in cavities and optical fibers) using vortices in Quantum Hall
systems. We describe the response to an external magnetic mode as a quench, and
find that it sets an oscillation between vortices and antivortices, with the
period controlled by the amplitude of the magnetic mode, and the phase locked
to the phase of the magnetic mode. We support our proposal by real-time
Hamiltonian field theory simulations.
