Related Experiment Video
Updated: Feb 14, 2026

Optogenetic Phase Transition of TDP-43 in Spinal Motor Neurons of Zebrafish Larvae
Published on: February 25, 2022
Exceptional points near first- and second-order quantum phase transitions
Pavel Stránský1, Martin Dvořák1, Pavel Cejnar1
1Institute of Particle and Nuclear Physics, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2, 180 00 Prague, Czech Republic.
Abstract:
We study the impact of quantum phase transitions (QPTs) on the distribution of exceptional points (EPs) of the Hamiltonian in the complex-extended parameter domain. Analyzing first- and second-order QPTs in the Lipkin-Meshkov-Glick model we find an exponentially and polynomially close approach of EPs to the respective critical point with increasing size of the system. If the critical Hamiltonian is subject to random perturbations of various kinds, the averaged distribution of EPs close to the critical point still carries decisive information on the QPT type. We therefore claim that properties of the EP distribution represent a parametrization-independent signature of criticality in quantum systems.
Related Concept Videos
Phase Transitions
Phase Transitions: Melting and Freezing
Phase Transitions: Sublimation and Deposition
Phase Transitions: Vaporization and Condensation
Exceptions to the Octet Rule
Quantum Numbers

