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Masoud Sayedi

Masoud Sayedi

Academic rank: Associate Professor
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Education: PhD.
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HIndex: 0/00
Faculty: Basic Science
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Research

Title
Quantum phase transition in even-even Molybdenum isotopes using von Neumann entropy
Type
JournalPaper
Keywords
entanglement, von Neumann entropy
Year
2024
Journal CANADIAN JOURNAL OF PHYSICS
DOI
Researchers narjes amiri ، Masoud Sayedi ، maryam ghapanvri ، mohammad ali jafarizdeh

Abstract

‎In this study‎, ‎the von Neumann entropy (entanglement entropy) of $ s-d $ bosons and proton ($ \pi $)‎ - ‎neutron ($ \nu $) bosons in the even-even Molybdenum (${^{94-102}{\rm{Mo}}} $) isotopes‎, ‎within the framework of the Interacting Boson Model-2 (IBM-2)‎, ‎has been calculated and analyzed‎. ‎In order to compare the results‎, ‎the energy spectra‎, ‎quadrupole moment‎, ‎and the expectation value of the s-boson number operator of Mo isotopes have been obtained‎. ‎The results showed that ${^{94}{\rm{Mo}}} $ has the minimum entanglement of $ s $ and $ d $ bosons and ${^{102}{\rm{Mo}}} $ nucleus has the maximum entanglement of $ s $ and $ d $ bosons‎. ‎Therefore‎, ‎these nuclei are spherical ($U(5)$) and $\gamma$-unstable ($SO(6)$) nuclei‎, ‎respectively‎, ‎and other observables confirm this result‎. ‎Also‎, ‎the value of the entanglement entropy of the $ \pi $ and $ \nu $ bosons is constant by changing the control parameter‎. ‎So‎, ‎it does not show any transition‎.