Explicit formulas for adiabatic elimination with fast unitary dynamics - Inria - Institut national de recherche en sciences et technologies du numérique
Conference Papers Year : 2024

Explicit formulas for adiabatic elimination with fast unitary dynamics

Abstract

The so-called ``adiabatic elimination'' of fast decaying degrees of freedom in open quantum systems can be performed with a series expansion in the timescale separation. The associated computations are significantly more difficult when the remaining degrees of freedom (center manifold) follow fast unitary dynamics instead of just being slow. This paper highlights how a formulation with Sylvester's equation and with adjoint dynamics leads to systematic, explicit expressions at high orders for settings of physical interest.
Fichier principal
Vignette du fichier
2404.01802.pdf (199.19 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04530303 , version 1 (03-04-2024)

Licence

Identifiers

Cite

Angela Riva, Alain Sarlette, Pierre Rouchon. Explicit formulas for adiabatic elimination with fast unitary dynamics. CDC 2024 - IEEE Conference on Decision and Control, IEEE-CSS, Dec 2024, Milan, Italy. ⟨hal-04530303⟩
1478 View
247 Download

Altmetric

Share

More