Entanglement dynamics of two-qubit and two-qutrit systems coupled to an XY-spin-chain environment: Simultaneous effects of Dzyaloshinskii-Moriya and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions

We investigate the joint effects of Dzyaloshinskii-Moriya (DM) and Kaplan-Shekhtman-Entin-Wohlman- Aharony (KSEA) interactions on entanglement dynamics of two-qubit and two-qutrit anisotropic Heisenberg spin systems, coupled to an XY-spin-chain environment. Entanglement quantifiers such as concurrence and negativity are employed. Simulations show that the joint effect of KSEA and DM interactions is significantly benefit to preserve entanglement. This is more robust by applying in addition an external magnetic field to protect each system from unwanted environmental effects. In addition, the phase transition signature observed due to ferromagnetic nature of XY-spin systems is better stabilized thanks to KSEA interaction. We also observe that this interaction strongly improves the correlation time. However, it tends to flatten (without annihilating) the entanglement survival behavior induced by the magnetic field and the DM interaction. Further, it is observed that under similar conditions entanglement is more robust for two-qutrit as compared to two-qubit system.