Commutativity of the adiabatic elimination limit of fast oscillatory components and the instantaneous feedback limit in quantum feedback networks

John Edward Gough, Hendra Nurdin, Sebastian Wildfeuer

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

22 Dyfyniadau (Scopus)
129 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

We show that, for arbitrary quantum feedback networks consisting of several quantum mechanical components connected by quantum fields, the limit of adiabatic elimination of fast oscillator modes in the components and the limit of instantaneous transmission along internal quantum field connections commute. The underlying technique is to show that both limits involve a Schur complement procedure. The result shows that the frequently used approximations, for instance to eliminate strongly coupled optical cavities, are mathematically consistent.
Iaith wreiddiolSaesneg
Rhif yr erthygl123518
CyfnodolynJournal of Mathematical Physics
Cyfrol51
Rhif cyhoeddi21
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 01 Ion 2010

Ôl bys

Gweld gwybodaeth am bynciau ymchwil 'Commutativity of the adiabatic elimination limit of fast oscillatory components and the instantaneous feedback limit in quantum feedback networks'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.

Dyfynnu hyn