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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The classical Kolmogorov-Arnold-Moser (KAM) theorem provides the underlyingmechanism for the stability of the solar system under some small chaoticperturbations. Despite many previous efforts, any quantum version of the KAMtheorem remains elusive In this work, we provide a quantum KAM theorem in thecontext of the anisotropic Dicke model which is the most important quantumoptics model. It describes a single mode of photons coupled to $ N $ qubitswith both a rotating wave (RW) term and a counter-RW (CRW) term. As the ratioof the CRW over the RW term increases from zero to one, the systems evolvesfrom quantum integrable to quantum chaotic. We establish a quantum KAM theoremto characterize such a evolution quantitatively by both large $ N $ expansionand Random Matrix Theory and find agreement from the two complementaryapproaches. Connections and differences between the Dicke models andSachdev-Ye-Kitaev (SYK) or hybrid SYK models are examined. Possible Quantum KAMtheorem in terms of other quantum chaos criterion such as quantum Lyapunovexponent is also discussed.

A quantum Kolmogorov-Arnold-Moser theorem in the anisotropic Dicke model and its possible implications in the hybrid Sachdev-Ye-Kitaev models