Prediction of quantum many-body chaos in protactinium atom
A. V. Viatkina, M. G. Kozlov, V. V. Flambaum

TL;DR
This paper investigates quantum chaos in the energy spectrum of the protactinium atom using configuration interaction calculations, revealing strong perturbation effects and the significance of three-electron interactions.
Contribution
It introduces a detailed analysis of many-body quantum chaos in protactinium, highlighting the role of three-electron interactions and developing a statistical theory for chaotic eigenstates.
Findings
Levels exhibit properties of quantum chaos within specific manifolds.
Strong enhancement of small perturbations observed.
Three-electron interactions significantly influence the system.
Abstract
Energy level spectrum of protactinium atom (Pa, Z=91) is simulated with a CI calculation. Levels belonging to the separate manifolds of a given total angular momentum and parity exhibit distinct properties of many-body quantum chaos. Moreover, an extremely strong enhancement of small perturbations takes place. As an example, effective three-electron interaction is investigated and found to play a significant role in the system. Chaotic properties of the eigenstates allow one to develop a statistical theory and predict probabilities of different processes in chaotic systems.
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