Naimark-dilated PT-symmetric brachistochrone.
The quantum mechanical brachistochrone system with a PT-symmetric Hamiltonian is Naimark-dilated and reinterpreted as a 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 ultrafast brachistochrone regime of Bender et al. [Phys. Rev. Lett. 98, 040403 (2007)] in an entangled two-spin system.
Günther
Uwe
U
Research Center Dresden-Rossendorf, POB 510119, D-01314 Dresden, Germany. u.guenther@fzd.de
Samsonov
Boris F
BF