Weakly-coupled systems in quantum control
Nabile Boussaid (LM-Besan\c{c}on), Marco Caponigro (IECN, INRIA Nancy, - Grand Est / IECN / LMAM), Thomas Chambrion (IECN, INRIA Nancy - Grand Est /, IECN / LMAM)

TL;DR
This paper rigorously defines and analyzes weakly-coupled quantum control systems, providing conditions for their identification and illustrating with common physical system examples.
Contribution
It introduces rigorous definitions and sufficient conditions for weakly-coupled quantum systems, with practical examples from physical systems.
Findings
Provided rigorous definitions of weakly-coupled systems
Established sufficient conditions for weak coupling in infinite-dimensional systems
Included illustrative examples from physical systems
Abstract
This paper provides rigorous definitions and analysis of the dynamics of weakly-coupled systems and gives sufficient conditions for an infinite dimensional quantum control system to be weakly-coupled. As an illustration we provide examples chosen among common physical systems.
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