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 consider a Markovian approximation, of weak coupling type, to an opensystem perturbation involving emission, absorption and scattering by reservoirquanta. The result is the general form for a quantum stochastic flow driven bycreation, annihilation and gauge processes. A weak matrix limit is establishedfor the convergence of the interaction-picture unitary to a unitary, adaptedquantum stochastic process and of the Heisenberg dynamics to the correspondingquantum stochastic flow: the convergence strategy is similar to the quantumfunctional central limits introduced by Accardi, Frigerio and Lu$^{[ 1]}$. Theprincipal terms in the Dyson series expansions are identified and re-summedafter the limit to obtain explicit quantum stochastic differential equationswith renormalized coefficients. An extension of the Pul\UNICODE{0xe9}inequalities$^{[ 2]}$ allows uniform estimates for the Dyson series expansionfor both the unitary operator and the Heisenberg evolution to be obtained.Comment: 30 pages, several in-built figures (Includes limit theorems for  unitary and Heisenberg flow. Diagrams have been added to elucidate the Dyson  series expansions and estimation procedures. There is a new section on  resumming the Dyson series. The proof of the convergence of the Heisenberg  dynamics has been revise

Quantum Flows as Markovian Limit of Emission, Absorption and Scattering Interactions