Mathematical and Physical Meaning of the Crossings of Energy Levels in PT-Symmetric Systems

0466568 - ÚJF 2017 RIV DE eng C - Conference Paper (international conference)
Borisov, D. - Znojil, Miloslav
Mathematical and Physical Meaning of the Crossings of Energy Levels in PT-Symmetric Systems.
Springer Proceedings in Physics. Vol. 184. Berlin: Springer-Verlag, 2016, s. 201-217. ISBN 978-3-319-31354-2.
[15th International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP). Palermo (IT), 18.05.2015-23.05.2015]
Institutional support: RVO:61389005
Keywords : quantum theory * real Kato's exceptional points * excatly solvable models * anomalously broken PT −symmetry * anomalous phase transitions
Subject RIV: BE - Theoretical Physics

Unavoided crossings of the energy levels due to a variation of a real parameter are studied. It is found that after the quantum system in question passes through one of its energy-crossing points alias Kato's exceptional points (EP), its physical interpretation may dramatically change even when the crossing energies themselves do not complexify. The anomalous physical phase-transition mechanism of the change is revealed, attributed to the EP-related mathematics and illustrated via several exactly solvable matrix toy models.
Permanent Link: http://hdl.handle.net/11104/0264837