ok this is my theory on the purpose of the Gate pulse. When you have the depletion layer form on both electrodes, it will get larger and larger as the voltage increases. At some point the voltage will make the depletion layer large enough that the two will meet and cause a bridge between the two electrodes. This will cause a dead short condition and current will flow and voltage will drop and you will have a loss of resonance. So this is where the gate comes into play, it limits the depletion layer from getting too big and causing the bridge between the two electrodes.
The B+ & B- depletion layers causes a pulling force on the molecule and the stripping of the electrons and when the gates switch off, the atoms will link back up as diatomic hydrogen.