Quantum kinetic perturbation theory for near-integrable spin chains with weak long-range interactions

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dc.contributor.authorDuval, Clementen_ZA
dc.contributor.authorKastner, Michaelen_ZA
dc.date.accessioned2019-09-26T11:39:54Z
dc.date.available2019-09-26T11:39:54Z
dc.date.issued2019
dc.descriptionCITATION: Duval, C. & Kastner, M. 2019. Quantum kinetic perturbation theory for near-integrable spin chains with weak long-range interactions. New Journal of Physics, 21:093021, doi:10.1088/1367-2630/ab3994.en_ZA
dc.descriptionThe original publication is available at https://iopscience.iop.orgen_ZA
dc.descriptionPublication of this article was funded by the Stellenbosch University Open Access Funden_ZA
dc.description.abstractFor a transverse-field Ising chain with weak long-range interactions we develop a perturbative scheme, based on quantum kinetic equations, around the integrable nearest-neighbour model. We introduce, discuss, and benchmark several truncations of the time evolution equations up to eighth order in the Jordan–Wigner fermionic operators. The resulting set of differential equations can be solved for lattices with O(10²) sites and facilitates the computation of spin expectation values and correlation functions to high accuracy, at least for moderate timescales. We use this scheme to study the relaxation dynamics of the model, involving prethermalisation and thermalisation. The techniques developed here can be generalised to other spin models with weak integrability-breaking terms.en_ZA
dc.description.urihttps://iopscience.iop.org/article/10.1088/1367-2630/ab3994
dc.description.versionPublisher's version
dc.format.extent27 pages : illustrations (some colour)en_ZA
dc.identifier.citationDuval, C. & Kastner, M. 2019. Quantum kinetic perturbation theory for near-integrable spin chains with weak long-range interactions. New Journal of Physics, 21:093021, doi:10.1088/1367-2630/ab3994en_ZA
dc.identifier.issn1367-2630 (online)
dc.identifier.otherdoi:10.1088/1367-2630/ab3994
dc.identifier.urihttp://hdl.handle.net/10019.1/106526
dc.language.isoen_ZAen_ZA
dc.publisherIOP Publishingen_ZA
dc.rights.holderAuthors retain copyrighten_ZA
dc.subjectPrethermalisationen_ZA
dc.subjectQuantum kinetic theoryen_ZA
dc.subjectPerturbation (Quantum dynamics)en_ZA
dc.subjectIsing modelen_ZA
dc.subjectSpin chainsen_ZA
dc.titleQuantum kinetic perturbation theory for near-integrable spin chains with weak long-range interactionsen_ZA
dc.typeArticleen_ZA
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