Single-input perturbative control of a quantum symmetric rotor

6533b859fe1ef96bd12b83d6

RESEARCH PRODUCT

Single-input perturbative control of a quantum symmetric rotor

Thomas Chambrion Eugenio Pozzoli

subject

Quantum Physics Control and Optimization FOS: Physical sciences differential equations [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph]rotation electric field Mathematics - Analysis of PDEs Optimization and Control (math.OC)Control and Systems Engineering FOS: Mathematics control system Quantum Physics (quant-ph)Nonlinear Sciences::Pattern Formation and Solitons Mathematics - Optimization and Control [PHYS.QPHY] Physics [physics]/Quantum Physics [quant-ph]Analysis of PDEs (math.AP)

description

We consider the Schr\"odinger partial differential equation of a rotating symmetric rigid molecule (symmetric rotor) driven by a z-linearly polarized electric field, as prototype of degenerate infinite-dimensional bilinear control system. By introducing an abstract perturbative criterium, we classify its simultaneous approximate controllability; based on this insight, we numerically perform an orientational selective transfer of rotational population.

year	journal	country	edition	language
2022-02-09

https://hal.science/hal-03586235

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