  In this paper, we study the effect of both the electric and the magnetic
fields on the rate of complexity growth. Our system is a charged quantum
oscillator and over a period of time, we study the maximum dynamic evolution of
quantum states which might lead to a strong bound on the rate of computation.
We show that by turning on the electric field, the rate of complexity decreases
whereas this rate has increasing behavior when the magnetic field is turned on.
In this regard, we also find a critical value of the magnetic field, beyond
which this rate changes its behavior drastically.
