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Exact excited states of nonintegrable models

Author(s): Moudgalya, Sanjay; Rachel, Stephan; Bernevig, Bogdan A.; Regnault, Nicolas

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dc.contributor.authorMoudgalya, Sanjay-
dc.contributor.authorRachel, Stephan-
dc.contributor.authorBernevig, Bogdan A.-
dc.contributor.authorRegnault, Nicolas-
dc.date.accessioned2019-12-12T16:57:52Z-
dc.date.available2019-12-12T16:57:52Z-
dc.date.issued2018-12-15en_US
dc.identifier.citationMoudgalya, Sanjay, Rachel, Stephan, Bernevig, B Andrei, Regnault, Nicolas. (2018). Exact excited states of nonintegrable models. PHYSICAL REVIEW B, 98, doi:10.1103/PhysRevB.98.235155en_US
dc.identifier.issn2469-9950-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr11b4h-
dc.description.abstractWe discuss a method of numerically identifying exact energy eigenstates for a finite system, whose form can then be obtained analytically. We demonstrate our method by identifying and deriving exact analytic expressions for several excited states, including an infinite tower, of the one-dimensional spin-1 Affleck-Kennedy-Lieb-Tasaki (AKLT) model, a celebrated nonintegrable model. The states thus obtained for the AKLT model can be interpreted as from one to an extensive number of quasiparticles on the ground state or on the highest excited state when written in terms of dimers. Included in these exact states is a tower of states spanning energies from the ground state to the highest excited state. Some of the states of the tower appear to be in the bulk of the energy spectrum, allowing us to make conjectures on the strong eigenstate thermalization hypothesis. We also generalize these exact states including the tower of states to the generalized integer spin AKLT models. Furthermore, we establish a correspondence between some of our states and those of the Majumdar-Ghosh model, yet another nonintegrable model, and extend our construction to the generalized integer spin AKLT models.en_US
dc.format.extent235155-1 - 235155-31en_US
dc.language.isoen_USen_US
dc.relation.ispartofPHYSICAL REVIEW Ben_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titleExact excited states of nonintegrable modelsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1103/PhysRevB.98.235155-
dc.date.eissued2018-12-27en_US
dc.identifier.eissn2469-9969-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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