Znojil Miloslav
The Czech Academy of Sciences, Nuclear Physics Institute, Hlavní 130, 250 68, Řež, Czech Republic.
Department of Physics, Faculty of Science, University of Hradec Králové, Rokitanského 62, 50003, Hradec Králové, Czech Republic.
Sci Rep. 2022 Mar 1;12(1):3355. doi: 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.
在参数控制的量子相变分类问题中,关注点从传统的在例外点处通过能级合并进行的操作,转向了对例外点本身合并的控制。所得到的是一种详尽的分类,它通过潜在的汇合例外点的代数和几何重数来表征每一个相变。通过几个基本的简单模型说明了非等效相变的典型定性特征。