Influence of the Dynamic Shielding on the Collisional Entanglement Fidelity in Strongly Coupled Semiclassical Plasmas

Abstract

The influence of the dynamic plasma shielding on the collisional entanglement fidelity is investigated in strongly coupled semiclassical plasmas. The partial wave analysis with the effective dynamic screening length is employed to obtain the dynamic entanglement fidelity as a function of collision energy, de Broglie wavelength, Debye length, and thermal energy. The results show that the collisional entanglement fidelity increases with increasing plasma temperature as well as de Broglie wavelength and, however, decreases with an increase of the Debye length. It is also found that the dynamic screening effect suppresses the collisional entanglement fidelity in strongly coupled semiclassical plasmas. In addition, it is found that the entanglement fidelity decreases with increasing de Broglie wavelength and, however, increases with increasing thermal energy. It is also found that the thermal effect on the entanglement fidelity would be more significant in the domain of low-collision energies.Key words: Dynamic Shielding; Collisional Entanglement Fidelity; Semiclassical Plasmas.The collision process in plasmas [1 -5] has been of a great interest since the process is known as the one of the major atomic processes and also has provided useful information on the electrical conductivity and mobility in plasmas. It is also shown that the entanglement fidelity in the collision process has received a considerable attention since it has been shown that the quantum correlation phenomenon [6] plays an important role for understanding the quantum measurements and information processing in various quantum systems. Recently, the physical properties of strongly coupled plasmas have been extensively investigated since the interiors of astrophysical compact objects and inertial confinement fusion plasmas would be classified as strongly coupled plasmas [7 -11]. In these strongly coupled semiclassical plasmas, the interaction potential would not be characterized by the standard Debye-Hückel model obtained by the linearization of the Poisson equation with the Boltzmann distribution owing to the multi-particle correlations caused by the collective screening and quantum-mechanical effects. In addition, it has been shown that the statically shielding model for particle collisions would not be reliable to describe the screened interaction potential in plasmas when the collision velocity is comparable to or smaller than the velocity of the plasma electron since the projectile particle would polarize the surrounding plasma particles. Hence, the dynamic motion of plasma particles should be then taken into account in these situations in order to properly represent the plasma screening effects on the various collision processes in plasmas. Hence, it would be expected that the dynamically screened collisional entanglement fidelities would be quite different from the statically screened entanglement fidelities for the elastic electron-ion collisions in strongly coupled semiclassical plasmas. Thus, in this paper, we investigate the influence of th...