AU > Events > Entropy and Entanglement in Bipartite Quasi-Hermitian Systems and Their Hermitian Counterparts

Entropy and Entanglement in Bipartite Quasi-Hermitian Systems and Their Hermitian Counterparts

  • Date & Time:
    • December 2, 2025
    • 12:30pm - 2:00pm
  • Venue:
    • AU Auditorium
Seminar / Workshop

Entropy and Entanglement in Bipartite Quasi-Hermitian Systems and Their Hermitian Counterparts

About this Topic

In this talk, I will explore how entanglement and entropy behave in bipartite quantum systems governed by quasi-Hermitian Hamiltonians operators that, while not Hermitian, possess a consistent quantum interpretation through a suitable metric. I will present a framework for analyzing information-theoretic quantities in such systems and compare them with those obtained from their Hermitian counterparts. The discussion highlights how changes in the underlying metric impact subsystem entropies, how entanglement measures transform under Dyson maps, and what these results reveal about physical observables near exceptional points. This work provides new insight into the structure and interpretation of non-Hermitian quantum models, particularly within PT-symmetric regimes.

Speaker

Dr. Abedalsalam Abumoise

Assistant Professor - Mathematics & Physics

Dr. Abumoise is a mathematician specializing in mathematical physics, with a focus on PT-symmetric and quasi-Hermitian quantum systems. He holds a Ph.D. and M.Sc. in Mathematics from Memorial University of Newfoundland and Labrador, where he completed his doctoral studies with a perfect GPA. His research examines the structure and behavior of non-Hermitian Hamiltonians, including entanglement dynamics, diagonalizability at exceptional points, and the role of Dyson maps in defining Hermitian counterparts. In addition to his academic work, Dr. Abumoise contributes to AI development as a mathematical expert, evaluating and refining AI-generated content in advanced mathematics. With extensive university teaching experience across calculus, analysis, and linear algebra, he is committed to supporting student learning and advancing mathematical understanding both in the classroom and through his research.

Session Details

Date
2 December 2025 (Tuesday)
Time
12:30 PM – 2:00 PM
Venue
Auditorium
Australian University
Organized by
College of Engineering