Lie algebra for rotational subsystems of a driven asymmetric top

Abstract

We present an analytical approach to construct the Lie algebra of finite-dimensional subsystems of the driven asymmetric top rotor. Each rotational level is degenerate due to the isotropy of space, and the degeneracy increases with rotational excitation. For a given rotational excitation, we determine the nested commutators between drift and drive Hamiltonians using a graph representation. We then generate the Lie algebra for subsystems with arbitrary rotational excitation using an inductive argument.

10 pages, 7 figures

References in corpus (3)

• Enantiomer-Specific State Transfer of Chiral Molecules
• State-specific Enrichment of Chiral Conformers with Microwave Spectroscopy
• Global controllability with a single local actuator

Cited by in corpus (1)

• Graph test of controllability in qubit arrays: A systematic way to determine the minimum number of external controls