English

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

Quantum Physics 2012-01-16 v1 High Energy Physics - Theory Mathematical Physics math.MP

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{\cal D} of admissible parameters is provided for the "circular-model" three-parametric quantum Hamiltonian HH using periodic boundary conditions. It is emphasized that even in such an elementary system the weak- and strong-coupling subdomains of D{\cal D} become, unexpectedly, non-empty and disconnected.

Keywords

Cite

@article{arxiv.1103.4001,
  title  = {The horizons of observability in PT-symmetric four-site quantum lattices},
  author = {Miloslav Znojil},
  journal= {arXiv preprint arXiv:1103.4001},
  year   = {2012}
}

Comments

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