Dynamics of two-qubit Heisenberg XY state: external magnetic field and intrinsic decoherence effects

This paper investigates the capability of the anisotropic Heisenberg XY model to generate different anisotropic-two-qubit-Heisenberg nonclassical information resources (as Bell nonlocality, steerability, uncertainty-induced nonlocality as well as the concurrence) under x-projection external magnetic field, spin-spin couplings, anisotropy, and intrinsic decoherence. Based on Milburn’s intrinsic decoherence model, a particular dynamics for the anisotropic two-qubit Heisenberg XY model has been found to explore the nonclassical information dynamics. The results show that the anisotropic two-qubit Heisenberg couplings have a high ability to generate different nonclassical correlations. The amplitudes, fluctuations, and regularity of the nonclassical correlation dynamics can be controlled by the increase of the external magnetic field, the spin-spin interaction, the anisotropy, and the decoherence. Increasing the anisotropic two-qubit Heisenberg couplings enhances generating, accelerating, and preserving the generated two-qubit nonclassical information resources. For the intrinsic decoherence, the generated information resources decrease. The concurrence, steering, and UIN grow and stabilize to their partial stationary correlations, which depend on the applied external magnetic field, the spin couplings, the anisotropy, as well as the decoherence.