The Dynamics Of Quantum Memory Assisted Entropy Uncertainty And Local Quantum Uncertainty Control In Open Quantum Systems

In recent years,the study of Quantum memory assisted(QMA)entropy uncertainty relations has attracted much attention and has a wide range of applications in quantum information fields such as locking of classical correlation in quantum states,entanglement witness,construction of quantum error correction codes,entanglement metrics,quantum cryptography protocol,quantum randomness verification,quantum teleportation and steering inequality derivation.Meanwhile,Local quantum uncertainty(LQU)is an important metric for characterising quantum correlations and plays an integral role in quantum information processing.Since the QMA entropy uncertainty and quantum correlations are inevitably affected by environmental noise in open quantum systems,leading to decoherence effects of the systems.Therefore,it is of great practical importance to study the dynamics of the QMA entropy uncertainty and the LQU regulations of open quantum systems.First,the dynamical evolutionary behaviour of the QMA entropy uncertainty of two all-identical two-energy atomic systems with dipole-dipole(D-D)interactions in a common reservoir environment simulated by a multimode optical field have been investigated.We have comparely analysed the controlling of the D-D interaction and detuning amount on the QMA entropy uncertainty of the two-atom system in Markovian and non-Markovian processes.It is found that the memory effect of the reservoir environment causes the dynamic evolution of the QMA entropy uncertainty of the twoatom system to show a phenomenon of oscillation,the rising trend of the QMA entropy uncertainty is slowed down,and it can suppress the decoherence effect of the system caused by quantum noise in the non-Markovian process.In addition,the D-D interaction has significant control ability to reduce the QMA entropy uncertainty,the stronger the DD interaction,the more obvious the QMA entropy uncertainty reduction effect,and the D-D interaction has stronger control ability than the detuning amount.By combining the controlling of the D-D interaction and the detuning amount,the QMA entropy uncertainty of the two-atom system can be further reduced,which could prepare a low-noise quantum resource required for quantum information processing.Secondly,we have studied the effect of dephasing parameters on the LQU in the composite cavity optomechanical system and the controlling of various parameters in the system on LQU of two atoms.The results show that as the dephasing parameter increases,the LQU of two atoms decays with a greater decay rate.But,this decay rate is much slower than that of the concurrence,it indicates that the LQU is more suitable for characterizing quantum correlations in composite cavity optomechanical systems than concurrence.By varying the parameters of the initial entanglement state of two atoms,the atom-cavity field(J-C model),the atom-cavity field(with vibrating mirror)coupling and the vibrating mirror-cavity field coupling,one can control the LQU of two atoms.Specifically,if we increase the initial entanglement state of two atoms,the atomcavityfield(with vibrating mirror)coupling and the vibrating mirror-cavityfield coupling,as well as both increasing the atom-cavityfield(J-C model)coupling and the atomcavityfield(with vibrating mirror)coupling,the quantum correlation of two atoms can achieve the enhancement or maintenance in the composite cavity optomechanical system.Furthermore,adjusting the atom-cavityfield(with vibrating mirror)coupling and the mirror-cavityfield coupling can effectively control the period of the LQU evolution with time.Therefore,the study of the LQU quantum correlation control of two atoms in the composite cavity optomechanical system and phase-damping environments provides a new physical approach to achieve entanglement manipulation,quantum correlation enhancement or maintenance of cavity optomechanical systems.