Extracting spectra in the shell model Monte Carlo method using imaginary-time correlation matrices
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909449207152640 |
|---|---|
| author | Alhassid, Y. Bonett-Matiz, M. Gilbreth, C. N. Vartak, S. |
| author_facet | Alhassid, Y. Bonett-Matiz, M. Gilbreth, C. N. Vartak, S. |
| contents | Conventional diagonalization methods to calculate nuclear energy levels in the framework of the configuration-interaction (CI) shell model approach are prohibited in very large model spaces. The shell model Monte Carlo (SMMC) is a powerful technique for calculating thermal and ground-state observables of nuclei in very large model spaces, but it is challenging to extract nuclear spectra in this approach. We present a novel method to extract low-lying energy levels for given values of a set of good quantum numbers such as spin and parity. The method is based on imaginary-time one-body density correlation matrices that satisfy asymptotically a generalized eigenvalue problem. We validate the method in a light nucleus that allows comparison with exact diagonalization results of the CI shell model Hamiltonian. The method is applicable to other finite-size quantum many-body systems that can be described within a CI shell model approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00613 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Extracting spectra in the shell model Monte Carlo method using imaginary-time correlation matrices Alhassid, Y. Bonett-Matiz, M. Gilbreth, C. N. Vartak, S. Nuclear Theory Conventional diagonalization methods to calculate nuclear energy levels in the framework of the configuration-interaction (CI) shell model approach are prohibited in very large model spaces. The shell model Monte Carlo (SMMC) is a powerful technique for calculating thermal and ground-state observables of nuclei in very large model spaces, but it is challenging to extract nuclear spectra in this approach. We present a novel method to extract low-lying energy levels for given values of a set of good quantum numbers such as spin and parity. The method is based on imaginary-time one-body density correlation matrices that satisfy asymptotically a generalized eigenvalue problem. We validate the method in a light nucleus that allows comparison with exact diagonalization results of the CI shell model Hamiltonian. The method is applicable to other finite-size quantum many-body systems that can be described within a CI shell model approach. |
| title | Extracting spectra in the shell model Monte Carlo method using imaginary-time correlation matrices |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2401.00613 |