Electron-exchange and quantum screening effects on the collisional entanglement fidelity in degenerate quantum plasmas

Abstract

The influence of electron-exchange and quantum screening on the collisional entanglement fidelity for the elastic electron–ion collision is investigated in degenerate quantum plasmas. The effective Shukla–Eliasson potential and the partial wave method are used to obtain the collisional entanglement fidelity in quantum plasmas as a function of the electron-exchange parameter, Fermi energy, plasmon energy and collision energy. The results show that the quantum screening effect enhances the entanglement fidelity in quantum plasmas. However, it is found that the electron-exchange effect strongly suppresses the collisional entanglement fidelity. Hence, we have found that the influence of the electron-exchange reduces the transmission of quantum information in quantum plasmas. In addition, it is found that, although the entanglement fidelity decreases with an increase of the Fermi energy, it increases with increasing plasmon energy in degenerate quantum plasmas.

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

“…This means that the entanglement between particles reduces, as the collision energy is increased. This result is in agreement with the findings of previous related works [42,66,68]. The presence of the laser beam fields in the system for the case when ξ 0 = 0.005 m ( x = 9.40 10 0 7 ), results in the increase in the EFR at a fixed temperature as one could expect, because oscillations of electrons under electromagnetic fields of the laser beam cause the electron to spend more time around the ion during interaction and it leads to more entanglement of the system.…”

“…Also, one can find from figure 2 that the entanglement in the system is destroyed as collisional energy Ē increases and this result was predictable since an increase in the incident particle energy leads to the decrease in the interaction time and consequently to the weakening of correlation between particles. Similar results can be found in [42,[66][67][68][69]88] where the entanglement is studied without considering laser beam presence, i.e. for x = 0 0 .…”

“…Measuring of entanglement in terms of wave packet localization has been investigated by Fedorov et al [40], while Mishima et al [41] have found a suitable measure for entanglement during the scattering interactions which is now called entanglement fidelity (EF). The EF is now widely used because of its effectiveness in the realization of quantum entanglement and quantifying information processes [42,43].…”

Entanglement fidelity ratio for elastic collisions in non-ideal two-temperature dense plasma

“…In quantum plasmas, considering the spin of electrons through entering the quantum oscillation and recoil effects can change the effective electron-ion potential in the scattering phenomena. In such a situation, the collisional EF for the elastic electron-ion collision in an isothermal quantum plasma has been theoretically investigated in [49,50].…”

SNS potential with exchange field in quantum dusty plasmas

“…The quantum hydrodynamic (QHD) model developed recently by Manfredi [30,40] and Haas [31,41] has also gained much attention. In the past, using QHD model several authors have investigated shielding of a static/moving test charge in quantum plasmas, with or without the external magnetic field effects [13,[42][43][44][45] but no work appeared to study the role of exchange-correlation effects on the shielding phenomenon in the dusty plasma [46][47][48].…”