The inverse problem of two-state quantum systems with non-adiabatic static linear coupling

Andrii Khrabustovskyi (1) , Imen Rassas (2) , Eric Soccorsi (3, 4)

1 TU Graz - Technische Universität Graz
2 University of Tunis El Manar
3 CPT - Centre de Physique Théorique - UMR 7332
4 CPT - E8 Dynamique quantique et analyse spectrale

We consider the inverse problem of determining the coupling coefficients in a two-state Schrödinger system. We prove a Lipschitz stability inequality for the zeroth- and first-order coupling terms by finitely many partial lateral measurements of the solution to the coupled Schrödinger equations.

Domaines: Equations aux dérivées partielles [math.AP]

Andrii Khrabustovskyi, Imen Rassas, Eric Soccorsi. The inverse problem of two-state quantum systems with non-adiabatic static linear coupling. Communications in Contemporary Mathematics, 2021, 23 (04), pp.2050002. ⟨10.1142/S0219199720500029⟩. ⟨hal-03540658⟩