Redundant parameter dependencies in truncated classic and quantum Linear Response and Equation of Motion theory
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866913881602916352 |
|---|---|
| author | Kjellgren, Erik Rosendahl Reinholdt, Peter Ziems, Karl Michael Sauer, Stephan P. A. Coriani, Sonia Kongsted, Jacob |
| author_facet | Kjellgren, Erik Rosendahl Reinholdt, Peter Ziems, Karl Michael Sauer, Stephan P. A. Coriani, Sonia Kongsted, Jacob |
| contents | Extracting molecular properties from a wave function can be done through the linear response (LR) formalism or, equivalently, the equation of motion (EOM) formalism. For a simple model system, He in a 6-31G basis, it is here shown that calculated excitation energies depend on the specifically chosen orbitals, even when the ground-state is the FCI solution, if the LR is truncated to a singles expansion. This holds for naive, projected, self-consistent, and state-transfer parametrizations of the LR operators. With a focus on the state-transfer parameterization, this problem is shown to also hold for more complicated systems, and is also present when the LR is truncated to singles and doubles. This problem can be alleviated by performing a ground-state constrained trace optimization of the Hessian matrix before performing the LR calculation. It is finally shown that spectra can be further improved for small LR expansions by targeting only a few states in the constrained trace optimization using constrained state-averaged UCC. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_06063 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Redundant parameter dependencies in truncated classic and quantum Linear Response and Equation of Motion theory Kjellgren, Erik Rosendahl Reinholdt, Peter Ziems, Karl Michael Sauer, Stephan P. A. Coriani, Sonia Kongsted, Jacob Chemical Physics Quantum Physics Extracting molecular properties from a wave function can be done through the linear response (LR) formalism or, equivalently, the equation of motion (EOM) formalism. For a simple model system, He in a 6-31G basis, it is here shown that calculated excitation energies depend on the specifically chosen orbitals, even when the ground-state is the FCI solution, if the LR is truncated to a singles expansion. This holds for naive, projected, self-consistent, and state-transfer parametrizations of the LR operators. With a focus on the state-transfer parameterization, this problem is shown to also hold for more complicated systems, and is also present when the LR is truncated to singles and doubles. This problem can be alleviated by performing a ground-state constrained trace optimization of the Hessian matrix before performing the LR calculation. It is finally shown that spectra can be further improved for small LR expansions by targeting only a few states in the constrained trace optimization using constrained state-averaged UCC. |
| title | Redundant parameter dependencies in truncated classic and quantum Linear Response and Equation of Motion theory |
| topic | Chemical Physics Quantum Physics |
| url | https://arxiv.org/abs/2506.06063 |