Projects per year
Abstract
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.
Original language  English 

Article number  123518 
Journal  Journal of Mathematical Physics 
Volume  51 
Issue number  21 
DOIs  
Publication status  Published  01 Jan 2010 
Fingerprint
Dive into the research topics of 'Commutativity of the adiabatic elimination limit of fast oscillatory components and the instantaneous feedback limit in quantum feedback networks'. Together they form a unique fingerprint.Projects
 2 Finished

Quantum Control: Feedback Mediated by Channels in Nonclassical States
Gough, J. (PI)
Engineering and Physical Sciences Research Council
05 Oct 2009 → 04 Jan 2010
Project: Externally funded research

Quantum Control : Approach Based on Scattering Theory for Noncommutative Markov Chains
Gohm, R. (PI)
Engineering and Physical Sciences Research Council
01 Jun 2009 → 31 May 2012
Project: Externally funded research