Exact spectral function and nonequilibrium dynamics of the strongly interacting Hubbard model
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909381843484672 |
|---|---|
| author | Patu, Ovidiu I. Klumper, Andreas Foerster, Angela |
| author_facet | Patu, Ovidiu I. Klumper, Andreas Foerster, Angela |
| contents | Analytical results on the correlation functions of strongly correlated many-body systems are rare in the literature and their importance cannot be overstated. We present determinant representations for the space-, time-, and temperature-dependent correlation functions of the strongly interacting one-dimensional Hubbard model in the presence of an external trapping potential. These representations are exact and valid in both equilibrium and nonequilibrium scenarios like the ones initiated by a sudden change of the confinement potential. In addition, they can be implemented numerically very easily significantly outperforming other numerical approaches. As applications of our results we investigate the single particle spectral functions of systems with harmonic trapping and show that dynamical quasicondensation occurs for both fermionic and bosonic spin-$1/2$ systems released from a Mott insulator state. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09721 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact spectral function and nonequilibrium dynamics of the strongly interacting Hubbard model Patu, Ovidiu I. Klumper, Andreas Foerster, Angela Strongly Correlated Electrons Quantum Gases Statistical Mechanics Analytical results on the correlation functions of strongly correlated many-body systems are rare in the literature and their importance cannot be overstated. We present determinant representations for the space-, time-, and temperature-dependent correlation functions of the strongly interacting one-dimensional Hubbard model in the presence of an external trapping potential. These representations are exact and valid in both equilibrium and nonequilibrium scenarios like the ones initiated by a sudden change of the confinement potential. In addition, they can be implemented numerically very easily significantly outperforming other numerical approaches. As applications of our results we investigate the single particle spectral functions of systems with harmonic trapping and show that dynamical quasicondensation occurs for both fermionic and bosonic spin-$1/2$ systems released from a Mott insulator state. |
| title | Exact spectral function and nonequilibrium dynamics of the strongly interacting Hubbard model |
| topic | Strongly Correlated Electrons Quantum Gases Statistical Mechanics |
| url | https://arxiv.org/abs/2408.09721 |