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

We study an exactly solvable model of monitored dynamics in a system of $N$spin-$1/2$ particles with pairwise all-to-all noisy interactions, where eachspin is constantly perturbed by weak measurements of the spin component in arandom direction. We make use of the replica trick to account for the Born'srule weighting of the measurement outcomes in the study of purification andother observables, with an exact description in the large-$N$ limit. We findthat the nature of the phase transition strongly depends on the number $n$ ofreplicas used in the calculation, with the appearance of non-perturbativelogarithmic corrections that destroy the disentangled/purifying phase in therelevant $n \rightarrow 1$ replica limit. Specifically, we observe that thepurification time of a mixed state in the weak measurement phase is alwaysexponentially long in the system size for arbitrary strong measurement rates.

Elusive phase transition in the replica limit of monitored systems