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Phys Rev Lett. 2008 Dec 05;101(23):230404. doi: 10.1103/PhysRevLett.101.230404. Epub 2008 Dec 05.

Naimark-dilated PT-symmetric brachistochrone.

Physical review letters

Uwe Günther, Boris F Samsonov

Affiliations

  1. Research Center Dresden-Rossendorf, POB 510119, D-01314 Dresden, Germany. [email protected]

PMID: 19113530 DOI: 10.1103/PhysRevLett.101.230404

Abstract

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.

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