Skip to main content

Exact excited states of nonintegrable models

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

To refer to this page use:
Abstract: We 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.
Publication Date: 15-Dec-2018
Electronic Publication Date: 27-Dec-2018
Citation: Moudgalya, Sanjay, Rachel, Stephan, Bernevig, B Andrei, Regnault, Nicolas. (2018). Exact excited states of nonintegrable models. PHYSICAL REVIEW B, 98, doi:10.1103/PhysRevB.98.235155
DOI: doi:10.1103/PhysRevB.98.235155
ISSN: 2469-9950
EISSN: 2469-9969
Pages: 235155-1 - 235155-31
Type of Material: Journal Article
Journal/Proceeding Title: PHYSICAL REVIEW B
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

Items in OAR@Princeton are protected by copyright, with all rights reserved, unless otherwise indicated.