Quantum dynamics in the self-consistent quadratic approximation
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916799674580992 |
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| author | Rodriguez, Frank Ernesto Quintela |
| author_facet | Rodriguez, Frank Ernesto Quintela |
| contents | A self-consistent quadratic theory is presented to account for nonlinear contributions in quantum dynamics. Evolution equations are shown to depend on higher-order gradients of the Hamiltonian, which are incorporated via their equations of motion or through perturbative calculations. The dynamics is proven trace-preserving, with the Hamiltonian acting as a constant of motion for initial Gaussian states. Nonlinear response functions are calculated perturbatively, and sufficient conditions are provided for the existence of their classical limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11327 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum dynamics in the self-consistent quadratic approximation Rodriguez, Frank Ernesto Quintela Quantum Physics Mathematical Physics A self-consistent quadratic theory is presented to account for nonlinear contributions in quantum dynamics. Evolution equations are shown to depend on higher-order gradients of the Hamiltonian, which are incorporated via their equations of motion or through perturbative calculations. The dynamics is proven trace-preserving, with the Hamiltonian acting as a constant of motion for initial Gaussian states. Nonlinear response functions are calculated perturbatively, and sufficient conditions are provided for the existence of their classical limit. |
| title | Quantum dynamics in the self-consistent quadratic approximation |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2403.11327 |