Pairing correlations and eigenvalues of two-body density matrix in atomic nuclei
arXiv:1911.04408 · doi:10.1016/j.aop.2019.168061
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.
arXiv comment22 pages, 7 figures
References in corpus (18)
- Spectroscopy of discrete energy levels in ultrasmall metallic grains
- Overview of Neutron-Proton Pairing
- Boson mappings and four-particle correlations in algebraic neutron-proton pairing models
- Generic strong coupling behavior of Cooper pairs in the surface of superfluid nuclei
- Mixed-Spin Pairing Condensates in Heavy Nuclei
- Alpha-like quartet condensation and isovector pairing correlations in N=Z nuclei
- Thermodynamic properties of a small superconducting grain
- Isovector spin-singlet (T=1, S=0) and isoscalar spin-triplet (T=0, S=1) pairing interactions and spin-isospin response
- Accuracy of BCS-based approximations for pairing in small Fermi systems
- Isovector neutron-proton pairing with particle number projected BCS
- BIGSTICK: A flexible configuration-interaction shell-model code (updated)
- Invariant correlational entropy as a signature of quantum phase transitions in nuclei
- Temperature Dependence of Pair Correlations in Nuclei in the Iron-Region
- Isoscalar and isovector pairing in a formalism of quartets
- Nuclear Pairing: Surface or Bulk ?
- Four-body correlations in nuclei
- Isovector pairing in a formalism of quartets for N=Z nuclei
- Quartet correlations in N=Z nuclei induced by realistic two-body interactions