The horizons of observability in PT-symmetric four-site quantum lattices

Details The horizons of observability in PT-symmetric four-site quantum lattices The horizons of observability in PT-symmetric four-site quantum lattices

2011-03-21

arxiv.org/abs/1103.4001v1

Acta Polytechnica 51 (2011) 104 - 113

Physics

Quantum Physics

18 pp, 20 figures, contribution to the proceedings of the AAMP-VII meeting (http://gemma.ujf.cas.cz/~znojil/conf/micromeetsedm

Scientific paper

The "Hermitizability" problem of quantum theory is explained, discussed and illustrated via the discrete-lattice cryptohermitian quantum graphs. In detail, the description of the domain ${\cal D}$ of admissible parameters is provided for the "circular-model" three-parametric quantum Hamiltonian $H$ using periodic boundary conditions. It is emphasized that even in such an elementary system the weak- and strong-coupling subdomains of ${\cal D}$ become, unexpectedly, non-empty and disconnected.

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