Einstein-Podolsky-Rosen steering and nonlocality in quantum dot systems

Abstract

We examine the relationship among the quantum steering, Bell nonlocality and entanglement of formation in a quantum dot system taking into account Coulomb-blocked and electron-electron interaction. We find that the steerability of the quantum dot system state is dependent on the main model parameters and the degradation of the quantum steering can be reduced by a suitable choice of these parameters. We show that the quantum dot system states with Bell nonlocality can violate the entropy uncertainty relation steering inequality, and that not every entangled quantum state of the dot system is steerable with violation of the Bell nonlocality. Moreover, we find that there is an optimal value of the temperature for which the quantum steering, nonlocality and entanglement are maximal. Finally, we display the monotonic dependence of these classes of quantum correlations on the main physical parameters. • Quantum Physics. • Quantum dot system. • Electron-electron interaction and Coulomb-blocked systems. • Quantum steering. • Bell nonlocality and entanglement of formation.