Dynamical invariants in non-Markovian quantum state diffusion equation
Abstract
We find dynamical invariants for open quantum systems described by the non-Markovian quantum state diffusion (QSD) equation. In stark contrast to closed systems where the dynamical invariant can be identical to the system density operator, these dynamical invariants no longer share the equation of motion for the density operator. Moreover, the invariants obtained with from bi-orthonormal basis can be used to render an exact solution to the QSD equation and the corresponding non-Markovian dynamics without using master equations or numerical simulations. Significantly we show that we can apply these dynamic invariants to reverse-engineering a Hamiltonian that is capable of driving the system to the target state, providing a novel way to design control strategy for open quantum systems.
Cite
@article{arxiv.1510.00518,
title = {Dynamical invariants in non-Markovian quantum state diffusion equation},
author = {Da-Wei Luo and P. V. Pyshkin and Chi-Hang Lam and Ting Yu and Hai-Qing Lin and J. Q. You and Lian-Ao Wu},
journal= {arXiv preprint arXiv:1510.00518},
year = {2016}
}
Comments
6 pages, 2 figures