The Effect of Magnetic Field on the Dynamic Evolution of Quantum Entanglement in the Four-Qubit Heisenberg XXZ Model with DM Interaction and KSEA Interaction
摘要
In this paper, the effects of the homogeneous, inhomogeneous constant magnetic field and the spatially homogeneous but time-varying magnetic field on the dynamic evolution of Quantum Entanglement (QE) in the four qubit Heisenberg XXZ model considering DM and KSEA interactions is considered. Results shows that there is no way to eliminate the Sudden Death and Birth (SD and SB) appearing in the dynamic evolution of QE by controlling such parameters as the intensity of the DM interaction, the intensity of the KSEA interaction, the intensity of the external magnetic field and the inhomogeneity of the magnetic field. Therefore, we design the spatially homogeneous but time-varying magnetic field by using Quantum particle Swarm optimization (QPSO) algorithm. Under the action of this magnetic field, QE increases with time and reaches a certain value and remains constant. Of course, this value depends on the initial state of the system, the exchange interaction intensity, the DM intensity and KSEA interaction intensity. This provides sufficient possibilities for the use of Heisenberg spin chains as quantum channels.
Statement of NoveltyWe propose a method to maintain the quantum correlation at a constant value by applying the uniform in space but time-varying magnetic field in the x- and z-directions in four-qubit Heisenberg Spin chain considering DM and KSEA interactions.