English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study in detail the properties of the quantum East model, an interactingquantum spin chain inspired by simple kinetically-constrained models ofclassical glasses. Through a combination of analytics, exact diagonalizationand tensor-network methods we show the existence of a transition, from a fastto a slow thermalization regime, which manifests itself throughout thespectrum. On the slow side, by exploiting the localization of the ground stateand the form of the Hamiltonian, we explicitly construct a large (exponentialin size) number of non-thermal states which become exact finite-energy-densityeigenstates in the large-size limit, as expected for a true phase transition. A``super-spin'' generalization allows us to find a further large class ofarea-law states proved to display very slow relaxation. These states retainmemory of their initial conditions for extremely long times. Our numericalanalysis reveals that the localization properties are not limited to the groundstate and that} many eigenstates have large overlap with product states and canbe approximated well by matrix product states at arbitrary energy densities.The mechanism that induces localization to the ground state, and hence thenon-thermal behavior of the system, can be extended to a wide range of modelsincluding a number of simple spin chains. We discuss implications of ourresults for slow thermalization and non-ergodicity more generally indisorder-free systems with constraints and we give numerical evidence thatthese results may be extended to two dimensional systems.

Quantum East model: localization, non-thermal eigenstates and slow dynamics