Explicit formulas for adiabatic elimination with fast unitary dynamics

2024/04/02 by Angela Riva, Alain Sarlette, Riva, Angela +3 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies

paper · pdf · doi:10.48550/arxiv.2404.01802

openalex publication_date 2024/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

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