Pairing correlations and eigenvalues of two-body density matrix in atomic nuclei
Nuclear Theory
2020-02-19 v1
Abstract
The quantum phases of superconductivity and superfluidity are characterised mathematically by the Yang concept of Off-Diagonal Long Range Order (ODLRO), related to the existence of a large eigenvalue of the density matrix. We analyse how the Yang criterion applies for various Hamiltonians commonly employed to describe superfluid-type correlations in atomic nuclei. For like-particle pairing Hamiltonians the behaviour of the largest eigenvalue of two-body density matrix shows a clear evidence for a transition between a normal to a paired phase. However, this is not the case for the isoscalar proton-neutron pairing interactions acting in self-conjugate nuclei.
Cite
@article{arxiv.1911.04408,
title = {Pairing correlations and eigenvalues of two-body density matrix in atomic nuclei},
author = {Michelangelo Sambataro and Nicolae Sandulescu},
journal= {arXiv preprint arXiv:1911.04408},
year = {2020}
}
Comments
22 pages, 7 figures