The Naimark dilated PT-symmetric brachistochrone
Quantum Physics
2008-12-18 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The quantum mechanical brachistochrone system with PT-symmetric Hamiltonian is Naimark dilated and reinterpreted as subsystem of a Hermitian system in a higher-dimensional Hilbert space. This opens a way to a direct experimental implementation of the recently hypothesized PT-symmetric ultra-fast brachistochrone regime of [C. M. Bender et al, Phys. Rev. Lett. {\bf 98}, 040403 (2007)] in an entangled two-spin system.
Cite
@article{arxiv.0807.3643,
title = {The Naimark dilated PT-symmetric brachistochrone},
author = {Uwe Guenther and Boris F. Samsonov},
journal= {arXiv preprint arXiv:0807.3643},
year = {2008}
}
Comments
4 pages