A method is proposed for the optical rotation of the spin of an electron in a quantum dot using excited trion states to implement operations up to two orders of magnitude faster than those of most existing proposals. Key ingredients are the geometric phase induced by 2π hyperbolic secant pulses, use of coherently trapped states and use of naturally dark states. Our proposal covers a wide variety of quantum dots by addressing different parameter regimes. In one case the treatment provides an exact solution to the three-level system. Numerical simulations with typical parameters for InAs self-assembled quantum dots, including their dissipative dynamics, give fidelities of the operations in excess of 99%.
@article{arxiv.cond-mat/0703098,
title = {Theory of fast optical spin rotation in a quantum dot based on geometric phases and trapped states},
author = {Sophia E. Economou and T. L. Reinecke},
journal= {arXiv preprint arXiv:cond-mat/0703098},
year = {2009}
}