2024/07/15 by Yuvraj Singh, Singh, Yuvraj, Rabin Banerjee +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Non-Hermitian Physics #Quantum, superfluid, helium dynamics #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.2407.10898
openalex publication_date 2024/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss the SVD entanglement entropy, which has recently come up as a successor to the pseudo entropy. This paper is a first of-its-kind application of SVD entanglement entropy to a system of chiral Dirac oscillators which prove to be a natural system to study the SVD formalism because the two chiral oscillator ground states can be taken as the pre-selected and post-selected states. We argue how this alternative for entanglement entropy is better and more intuitive than the von Neumann one to study quantum phase transition. It is shown that SVD entropy diverges at the critical point, matching von Neumann entropy in the left-handed regime but differing in the right-handed regime. We also provide as an illustrative example, a new generalized proof of the SVD entanglement entropy being log2 for a pair of Bell states that differ from each other by relative phases