The first utilizes a adiabatic nuclear demagnetisation to reach picokelvins.
2.
For reliable storage of data, the recording material needs to resist self-demagnetisation, which occurs when the magnetic domains repel each other.
3.
One technique used to reach very low temperatures ( thousandths and even millionths of a degree above absolute zero ) is via adiabatic demagnetisation, where the change in magnetic field on a magnetic material is used to provide adiabatic cooling.
4.
Some of these systems are reversible such as demagnetisation by heating a magnet to its Curie temperature while others are irreversible such as an avalanche where the snow can only move down a mountain, but many systems have a positive bias causing it to eventually move from one state to another such as gravity or another external force.
5.
There are 2 issues you may need to address : 1 ) with a soft ferrite of an intial permability of only 9, you may need to prove analytically that magnetisation will be sufficiently even, throughout the magnetisation / demagnetisation cycle . 2 ) The requirement to go in and out of saturation within 50 nS will be difficult to meet.