Confluences of exceptional points and a systematic classification of quantum catastrophes

0555818 - ÚJF 2023 RIV DE eng J - Článek v odborném periodiku
Znojil, Miloslav
Confluences of exceptional points and a systematic classification of quantum catastrophes.
Scientific Reports. Roč. 12, č. 1 (2022), č. článku 3355. ISSN 2045-2322. E-ISSN 2045-2322
Institucionální podpora: RVO:61389005
Klíčová slova: quantum phase transitions
Obor OECD: Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Impakt faktor: 4.6, rok: 2022
Způsob publikování: Open access
https://doi.org/10.1038/s41598-022-07345-7

In the problem of classification of the parameter-controlled quantum phase transitions, attention is turned from the conventional manipulations with the energy-level mergers at exceptional points to the control of mergers of the exceptional points themselves. What is obtained is an exhaustive classification which characterizes every phase transition by the algebraic and geometric multiplicity of the underlying confluent exceptional point. Typical qualitative characteristics of non-equivalent phase transitions are illustrated via a few elementary toy models.
Trvalý link: http://hdl.handle.net/11104/0330265