dc.contributor.author | Goold, John | |
dc.date.accessioned | 2021-03-23T14:01:04Z | |
dc.date.available | 2021-03-23T14:01:04Z | |
dc.date.issued | 2020 | |
dc.date.submitted | 2020 | en |
dc.identifier.citation | Brenes, M., Goold, J., Rigol, M., Low-frequency behavior of off-diagonal matrix elements in the integrable XXZ chain and in a locally perturbed quantum-chaotic XXZ chain, Physical Review B, 2020, 102, 075127 | en |
dc.identifier.other | Y | |
dc.description.abstract | We study the matrix elements of local operators in the eigenstates of the integrable XXZ chain and of the quantum-chaotic model obtained by locally perturbing the XXZ chain with a magnetic impurity. We show that, at frequencies that are polynomially small in the system size, the behavior of the variances of the off-diagonal matrix elements can be starkly different depending on the operator. In the integrable model we find that, as the frequency ω→0, the variances are either nonvanishing (generic behavior) or vanishing (for a special class of operators). In the quantum-chaotic model, on the other hand, we find the variances to be nonvanishing as ω→0 and to indicate diffusive dynamics. We highlight which properties of the matrix elements of local operators are different between the integrable and quantum-chaotic models independently of the specific operator selected. | en |
dc.language.iso | en | en |
dc.relation.ispartofseries | Physical Review B; | |
dc.relation.ispartofseries | 102; | |
dc.relation.ispartofseries | 7; | |
dc.rights | Y | en |
dc.subject | nonvanishing as ω→0 | en |
dc.subject | integrable XXZ chain | en |
dc.subject | quantum-chaotic model | en |
dc.subject | 1-dimensional spin chains | en |
dc.subject | Quantum chaos | en |
dc.subject | Nonequilibrium statistical mechanics | en |
dc.subject | Eigenstate thermalization | en |
dc.title | Low-frequency behavior of off-diagonal matrix elements in the integrable XXZ chain and in a locally perturbed quantum-chaotic XXZ chain | en |
dc.type | Journal Article | en |
dc.type.supercollection | scholarly_publications | en |
dc.type.supercollection | refereed_publications | en |
dc.identifier.peoplefinderurl | http://people.tcd.ie/gooldj | |
dc.identifier.rssinternalid | 226139 | |
dc.identifier.doi | http://dx.doi.org/10.1103/PhysRevB.102.075127 | |
dc.rights.ecaccessrights | openAccess | |
dc.identifier.orcid_id | 0000-0001-6702-1736 | |
dc.contributor.sponsor | Science Foundation Ireland | en |
dc.identifier.uri | http://hdl.handle.net/2262/95862 | |