Probing Quantum Phase Transitions in the sdg Interacting Boson Model Using Von Neumann Entropy

Abstract In this work, the von Neumann entropy has been calculated and employed as a probe to analyse quantum phase transitions (QPTs) within the sdg-interacting boson model (sdg-IBM). The von Neumann entropy between the s-boson and the dg-boson sectors is used as an indicator of the QPTs and as a robust observable in the theoretical analysis of the 108−11648 Cd isotopes. The von Neumann entropy correctly characterises the QPT in the Ud (5) ⊗ Ug (9) ↔ SOsdg (15) transition region. The numerical results showed that the 10844 Cd and 11648 Cd isotopes are in Ud (5) ⊗ Ug and SOsdg(15) limits, respectively.

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