Impact of Quantum Phase Transitions on Excited Level Dynamics
Pavel Cejnar, Pavel Stransky

TL;DR
This paper investigates how quantum phase transitions affect the behavior of excited energy levels in one- and two-dimensional systems, highlighting differences between first- and second-order transitions.
Contribution
It provides a comparative analysis of excited level dynamics across different types of quantum phase transitions in low-dimensional systems.
Findings
Quantum phase transitions significantly alter excited level structures.
Differences observed between first- and second-order transitions.
Examples include cusp and nuclear collective Hamiltonians.
Abstract
The influence of quantum phase transitions on the evolution of excited levels in the critical parameter region is discussed. The analysis is performed for 1D and 2D systems with first- and second-order ground-state transitions. Examples include the cusp and nuclear collective Hamiltonians.
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