Laser beam effect on the entanglement of elastic collisions in quantum plasma

In the quantized field formalism, using Kramers-Henneberger unitary transformation as the semiclassical counterpart of Block-Nordsieck transformation,the dynamics of entanglement during the low energy scattering processes in bi-partite systems at the presence of a laser beam fields is studied. The stationary-state Schrodinger equation for quantum scattering process is obtained for such systems. Then, using partial wave analysis, we introduce new form of entanglement fidelity considering effect of high-intensity laser beam fields. The effective potential of hot quantum plasma including plasmon and quantum screening effects is used to obtain the entanglement fidelity ratio as a function of the laser amplitude, plasmon and Debye length parameters for the elastic electron-ion collisions. It is shown that the plasma free electrons oscillations under interaction with laser beam fields improve the correlations between charged particles and consequently leads to the increase in the system entanglement.