Phys Rev Lett. 2008 Dec 05;101(23):230404. doi: 10.1103/PhysRevLett.101.230404. Epub 2008 Dec 05.
Physical review letters
Uwe Günther, Boris F Samsonov
PMID: 19113530 DOI: 10.1103/PhysRevLett.101.230404
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.