The horizons of observability in PT-symmetric four-site quantum lattices
Abstract
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 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 D become, unexpectedly, non-empty and disconnected.
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