Quantum-memory-assisted entropic uncertainty and steered quantum coherence in double quantum dots system under thermal equilibrium and decoherence

In this paper, we have investigated the behavioral features of quantum-memory-assisted entropic uncertainty (QMA-EU), the lower bound of QMA-EU, and steered quantum coherence (SQC) in double quantum dots system hosting a single electron spin in the presence of external magnetic field and Rashba spin-orbit interaction (SOI) under thermal equilibrium and decoherence conditions, respectively. We find that although the nonlocality and nonclassicality quantified by QMA-EU and SQC deteriorates even disappears as thermal fluctuation dominates the system at higher temperature, the Rashba SOI and tunneling effects between the two quantum dots can be used effectively to enhance the thermal performance of quantumness, which is to enhance the system’s SQC and reduce QMA-EU. However, if the decoherence is taken into account, the Rashba SOI accelerates evolution oscillation frequency of QMA-EU and SQC and even makes the oscillation of them smooth. Furthermore, we reveal that the behavior of SQC with respect to the Rashba SOI and tunneling effects is not strictly opposite to that of QMA-EU.