Entanglement Evolution of Two-Coupled Spins in a Time-Dependent Rotating Magnetic Field

Marcel Novaes

Zhang Sheng Shi

We study the dynamics evolution of a two-qubit Heisenberg XXX spin chain under a time-dependent rotating magnetic field.Based on the algebraic structure of the non-autonomouse system,the exact solution of the Schrdinger equation is obtained by using the method of algebraic dynamics.Based on the time-dependent analytical solution,we further study the entanglement evolution between the two coupled spins for different initial states,and find that the entanglement is determined by the coefficients of the initial state and the coupling constant J of the system.

M. Sebawe Abdalla, Eied Mahmoud Khalil, A.‐S. F. Obada +1 more

Zhang Shi-Xun, Qinsheng Zhu, Kuang Xiao-Yu

We study the dynamics evolution of a two-quhit Heisenherg XXX spin chain under a time-dependent rotating magnetic field. Based on the algebraic structure of the non-autonomous system, the exact solution of the Schrödinger equation is obtained by using the method of algebraic dynamics. Based on the time-dependent analytical solution, we further study the entanglement evolution between the two coupled spins for different initial states, and find that the entanglement is determined by the coefficients of the initial state and the coupling constant J of the system.

Jing Nie, Xiu-Yi Yang, Qingxu Yu +1 more

Roberto Grimaudo, Tatiana Mihaescu, Аурелиан Исар +2 more

We describe the dynamics of quantum discord of two interacting spin-1/2 subjected to controllable time-dependent magnetic fields. The exact time evolution of discord is given for various input mixed states consisting of classical mixtures of two Bell states. The quantum discord manifests a complex oscillatory behaviour in time and is compared with that of quantum entanglement, measured by concurrence. The interplay of the action of the time-dependent magnetic fields and the spin-coupling mechanism in the occurrence and evolution of quantum correlations is examined in detail.