Document Type : Research Paper

Authors

• Maryam Ghapanvari ¹
• Mohammad Ali Jafarizadeh ²
• masoud seidi ³
• narjes amiri ⁴

¹ -

² Department of Theoretical Physics and Astrophysics, University of Tabriz

³ Department of Physics, Faculty of Science, Ilam University, Ilam, Iran

⁴ Tabriz University, Faculty of Physics, Nuclear Group

Abstract

In this paper, the quantum phase transition and nuclei structure were investigated based on the quantum entanglement. One of the quantities for measuring entanglement between two bodies is the von Neumann entropy, which was considered as a suitable criterion for examining entanglement. The entanglement entropy of s - d bosons in the framework of Interacting Boson Model (IBM) is investigated using consistent-Q formalism and semiclassical approximation. This research presents a method for the derivation of the entanglement entropy in the dynamical symmetry limits of the IBM including transition regions between different shapes. By using the entanglement effect, the quantum phase transition was described and the entanglement behavior of s and d bosons was investigated in different regions of the Castan triangle. How to determine the entropy in the IBM model was presented using the semi-classical approximation. The results showed that entanglement entropy values are sensitive to phase change and can be a powerful tool to detect quantum phase transition in nuclei.

Keywords

• Quantum phase transition
• quantum entanglement
• boson interaction model (IBM)
• entropy
• semi-classical approximation

Main Subjects

• NUCLEAR PHYSICS AND RADIATION PHYSICS