ICTS:31639

Video URL

Exact volume-law entangled eigenstates in a large class of spin models

Exact volume-law entangled eigenstates in a large class of spin models

(2025). Exact volume-law entangled eigenstates in a large class of spin models. SciVideos. https://youtu.be/uZUrjZxhPnI

Exact volume-law entangled eigenstates in a large class of spin models. SciVideos, Apr. 22, 2025, https://youtu.be/uZUrjZxhPnI 

          @misc{ scivideos_ICTS:31639,
            doi = {},
            url = {https://youtu.be/uZUrjZxhPnI},
            author = {},
            keywords = {},
            language = {en},
            title = {Exact volume-law entangled eigenstates in a large class of spin models},
            publisher = {},
            year = {2025},
            month = {apr},
            note = {ICTS:31639 see, \url{https://scivideos.org/icts-tifr/31639}}
          }
Ajit C. Balram
Talk numberICTS:31639
Source RepositoryICTS-TIFR
Collection

Abstract

Exact solutions for excited states in non-integrable quantum Hamiltonians have revealed novel dynamical phenomena that can occur in quantum many-body systems. This work proposes a method to analytically construct a specific set of volume-law-entangled exact excited eigenstates in a large class of spin Hamiltonians. In particular, we show that all spin chains that satisfy a simple set of conditions host exact volume-law eigenstates in the middle of their spectra. Examples of physically relevant spin chains of this type include the transverse-field Ising model, PXP model, spin-S XY model, and spin-S Kitaev chain. Although these eigenstates are highly atypical in their structure, they are thermal with respect to local observables. Our framework also unifies many recent constructions of volume-law entangled eigenstates in the literature. Finally, we show that a similar construction also generalizes to spin models on graphs in arbitrary dimensions.