The concept of quantum memory plays an incisive role in the quantum
information theory. As confirmed by several recent rigorous mathematical
studies, the quantum memory inmate in the bipartite system ρAB can
reduce uncertainty about the part B, after measurements done on the part A.
In the present work, we extend this concept to the systems with a spin-orbit
coupling and introduce a notion of spin-orbit quantum memory. We
self-consistently explore Uhlmann fidelity, pre and post measurement
entanglement entropy and post measurement conditional quantum entropy of the
system with spin-orbit coupling and show that measurement performed on the spin
subsystem decreases the uncertainty of the orbital part. The uncovered effect
enhances with the strength of the spin-orbit coupling. We explored the concept
of macroscopic realism introduced by Leggett and Garg and observed that POVM
measurements done on the system under the particular protocol are
non-noninvasive. For the extended system, we performed the quantum Monte Carlo
calculations and explored reshuffling of the electron densities due to the
external electric field.Comment: accepted in Phys. Rev.