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The European Physical Journal D

Non-equilibrium entanglement dynamics of a two-qubit Heisenberg XY system in the presence of an inhomogeneous magnetic field and spin-orbit interaction

Fardin Kheirandish, Seyed Javad Akhtarshenas, Hamidreza Mohammadi

Published Jan 19, 2010• 15 citations
Publisher
DOI
10.1140/epjd/e2010-00003-2

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The effects of initial conditions and system parameters on entanglement dynamics and asymptotic entanglement for a two-qubit anisotropic XY Heisenberg system in the presence of an inhomogeneous magnetic field and spin-orbit interaction are investigated. We suppose that each qubit interacts with a separate thermal reservoir which is held in its own temperature. The effects of the parameters of the system and environment like spin-orbit interaction and temperature difference of reservoirs are also discussed.
Dynamics of an open two-qubit system is investigated in the post-Markovian regime, where the environments have a short-term memory. Each qubit is coupled to separate environment which is held in its own temperature. The inter-qubit interaction is modeled by XY-Heisenberg model in the presence of spin-orbit interaction and inhomogeneous magnetic field. The dynamical behavior of entanglement and discord has been considered. The results show that, quantum discord is more robust than quantum entanglement, during the evolution. Also the asymmetric feature of quantum discord can be monitored by introducing the asymmetries due to inhomogeneity of magnetic field and temperature difference between the reservoirs. By employing proper parameters of the model, it is possible to maintain non-vanishing quantum correlation at high degree of temperature. The results can provide a useful recipe for studying of dynamical behavior of two-qubit systems such as trapped spin-electrons in coupled quantum dots.
Generation and robustness of non-local correlations induced by Heisenberg XYZ and intrinsic decoherence models: (x,y)-spin-orbit interactions and xxx- magnetic field
In this work, the Milburn intrinsic decoherence model is used to investigate the role of spin-spin Heisenberg XYZ interaction supported by spin-orbit Dzyaloshinsky Moriya (DM) interactions of x and y directions together in the non-local correlation (NLC) dynamics of Local quantum Fisher information (LQFI), local quantum uncertainty (LQU), and Log-negativity's entanglement. The two-qubit Heisenberg XYZ (non-X) states' nonlocal correlation generations are explored under the effects of the uniformity and the inhomogeneity of an applied x-direction external inhomogeneous magnetic field (EIMF). Our meticulous exploration of the obtained results shows that the spin-spin Heisenberg XYZ and x,y-spin-orbit interactions have a high capability to raise non-local correlations in the presence of a weak external magnetic field. The raised non-local correlation can be improved by strengthening the spin-spin and x,y spin-orbit interactions and increasing the EIMF's inhomogeneity and uniformity. Non-local correlation oscillations' amplitudes and fluctuations are increased. The degradations of the NLCs' generations in the presence of intrinsic decoherence (NLCs' robustness against intrinsic decoherence) can be decreased by strengthening the spin-spin interactions. They can be increased by increasing the intensities of x,y spin-orbit interactions as well as increasing the EIMF's inhomogeneity and uniformity.