Confluences of exceptional points and a systematic classification of quantum catastrophes

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 classi...

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Bibliographic Details
Published in:Scientific reports 2022-03, Vol.12 (1), p.3355-18, Article 3355
Main Author: Znojil, Miloslav
Format: Article
Language:English
Subjects:
639/705/1041
639/705/1045
639/766/483
Classification
Disasters
Humanities and Social Sciences
multidisciplinary
Phase transitions
Science
Science (multidisciplinary)
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Summary: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.
ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-022-07345-7