1. Entanglement and pairing in two-nucleon systems
- Author
-
Kovács, J, Kruppa, A T, Legeza, Ö, and Salamon, P
- Subjects
Nuclear Theory ,Quantum Physics - Abstract
In this study, we explore the entanglement and correlation in two-nucleon systems using isospin formalism. With the help of Slater decomposition, we derive analytical expressions for various entanglement measures. Specifically, we analyze the one- and two-mode entropies, mutual informations, and a basis-independent characteristic known as the one-body entanglement entropy. To understand the impact of pairing, we consider interactions involving isovector and isoscalar L=0 pairing terms. Our findings reveal that in certain cases, these pairing interactions lead to ground states that maximize the one-body entanglement entropy, provided that the total angular momentum and total isospin have zero projections. We provide numerical examples for the sd shell and explore the mutual informations in LS-coupled and jj-coupled single-particle bases. We find that the shell structure and angular momentum coupling significantly impact the measures of entanglement. Additionally, we establish the general implications of conserving angular momentum and isospin on the one-mode entropies, regardless of the particle number., Comment: 30 pages, 6 figures
- Published
- 2024