Localization of the states of a PT-symmetric double well
Riccardo Giachetti, Vincenzo Grecchi
TL;DR
This paper analyzes level crossings in a PT-symmetric double well quantum model, proving the existence of infinite crossings and detailing symmetry-breaking phenomena occurring during localization.
Contribution
It provides a rigorous proof of infinite level crossings and characterizes the symmetry-breaking process in PT-symmetric quantum systems.
Findings
Existence of infinite level crossings
Selection rules for crossings
Total P-symmetry breaking before localization
Abstract
We make a nodal analysis of the processes of level crossings in a model of quantum mechanics with a PT-symmetric double well. We prove the existence of infinite crossings with their selection rules. At the crossing, before the PT-symmetry breaking and the localization, we have a total P-symmetry breaking of the states.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics