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

Studies of integrable quantum many-body systems have a long history with animpressive record of success. However, surprisingly enough, an unambiguousdefinition of quantum integrability remains a matter of an ongoing debate. Wecontribute to this debate by dwelling upon an important aspect of quantumintegrability -- the notion of independence of quantum integrals of motion(QIMs). We point out that a widely accepted definition of functionalindependence of QIMs is flawed, and suggest a new definition. Our study ismotivated by the PXP model -- a model of $N$ spins $1/2$ possessing anextensive number of binary QIMs. The number of QIMs which are independentaccording to the common definition turns out to be equal to the number ofspins, $N$. A common wisdom would then suggest that the system is completelyintegrable, which is not the case. We discuss the origin of this conundrum anddemonstrate how it is resolved when a new definition of independence of QIMs isemployed.

A remark on the notion of independence of quantum integrals of motion in the thermodynamic limit