Physicists have long studied Landau states and energy levels of electrons in a stable magnetic field. However, when the magnetic field dissipates, the question of how Landau states evolve remains unanswered. This study investigates the magnetic dissipative effect from a quantum mechanics perspective. We establish a quantum master equation that describes a dissipative magnetic field. Subsequently, we solve the master equation using an entangled state representation. Consequently, we found that the Landau state evolves into a binomial quantum state (mixed state) when the magnetic field dissipated. This is in sharp contrast to the case where the Landau state becomes a negative binomial state when an additional harmonic oscillator potential is applied. We hope that this finding will be helpful for the evolution of quantized plasma physics.

This study aims to explore the magnetic diffusion effect of Landau states from the perspective of quantum mechanics while the magnetic diffusion often occurs in plasmas physics. By introducing the entangled state representation, we examine how the Landau state diffuses in the presence of magnetic diffusion. We also establish the master equation of the density operator corresponding to magnetic diffusion and solve it, and we find that the Landau state evolves into a Laguerre-polynomial-weighted chaotic state.