Time-Dependent Solitary Solutions of the Quantum-Mechanical Anisotropic Heisenberg Chain

Hamed Rezania

Andreas Kl�mper

Z. Slanič, Harvey Gould, Jan Tobochnik

A. Freudenhammer

Abstract A solitary time‐dependent solution for a linear chain of quantum‐mechanical Heisenberg spins is given. The interaction is of the anisotropic exchange type. An approximation to a one‐spin‐flip of the Hamiltonian on the basis of local spin quantization directions leads to the result that kink solutions only exist for a static kink.

Xiao-Bo Yan, Shun-Jin Wang, (1)四川大学物理系,成都 610064; (2)四川大学物理系,成都 610064;兰州重离子加速器国家实验室,兰州 730000

We investigate an annular spin cluster made of three particles with anisotropic Heisenberg-chain controlled by a time-dependent magnetic field. The system has an SU(2) algebraic structure. Using algebraic dynamical method, we have obtained the exact analytical solution to the time dependent Schrdinger equation. Based on the analytical solution, it is shown that the system can be used as a universal single qubit logic gate controlled by the strength and frequency of the magnetic field, and consequently six special single qubit logic gates can be realized.

Ivana Dimitrova, Niklas Jepsen, Jesse Amato-Grill +4 more