The quantum brachistochrone problem for an arbitrary spin in a magnetic field
Quantum Physics
2015-06-24 v1 Mathematical Physics
math.MP
Abstract
We consider quantum brachistochrone evolution for a spin- system on rotational manifolds. Such manifolds are determined by the rotation of the eigenstates of the operator of projection of spin- on some direction. The Fubini-Study metrics of these manifolds are those of spheres with radii dependent on the value of the spin and on the value of the spin projection. The conditions for optimal evolution of the spin- system on rotational manifolds are obtained.
Keywords
Cite
@article{arxiv.1503.00958,
title = {The quantum brachistochrone problem for an arbitrary spin in a magnetic field},
author = {A. R. Kuzmak and V. M. Tkachuk},
journal= {arXiv preprint arXiv:1503.00958},
year = {2015}
}
Comments
Accepted for publication in Phys. Lett. A