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

When describing the effective dynamics of an observable in a many-bodysystem, the repeated randomness assumption, which states that the systemreturns in a short time to a maximum entropy state, is a crucial hypothesis toguarantee that the effective dynamics is classical, Markovian and obeys localdetailed balance. While the latter behaviour is frequently observed innaturally occurring processes, the repeated randomness assumption is in blatantcontradiction to the microscopic reversibility of the system. Here, we showthat the use of the repeated randomness assumption can be justified in thedescription of the effective dynamics of an observable that is both slow andcoarse, two properties we will define rigorously. Then, our derivation willinvoke essentially only the eigenstate thermalization hypothesis and typicalityarguments. While the assumption of a slow observable is subtle, as it providesonly a necessary but not sufficient condition, it also offers a unifyingperspective applicable to, e.g., open systems as well as collective observablesof many-body systems. All our ideas are numerically verified by studyingdensity waves in spin chains.

Classicality, Markovianity and local detailed balance from pure state dynamics