The Naimark dilated PT-symmetric brachistochrone

Details The Naimark dilated PT-symmetric brachistochrone The Naimark dilated PT-symmetric brachistochrone

2008-07-23

arxiv.org/abs/0807.3643v2

Phys.Rev.Lett.101:230404,2008

Physics

Quantum Physics

4 pages

Scientific paper

10.1103/PhysRevLett.101.230404

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.

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