Work

Conservation laws for a class of generic Hamiltonians

Year: 2014
Type: preprint
Abstract: Within a strong coupling expansion, we construct local quasi-conserved operators for a class of Hamiltonians that includes both integrable and non-integrable models. We explicitly show that at the lowest orders of perturbation theory the structure of the operators is independent of the system details. Higher order contributions are investigated numerically by means of an ab initio method for computing the time evolution of local operators in the Heisenberg picture. The numerical analysis suggests that the quasi-conserved operators could be approximations of a quasi-local conservation law, even if the model is non-integrable.
Language: English
Open Access status: green
OpenAlex ID: W1696991931
Cites: 7
Cited by: 10
Related to: 10