Quantum Wave Function Controllability

Gabriel Turinici (1) , Herschel Rabitz (2)

1 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision
2 Department of Chemistry

Theoretical results are presented on the ability to arbitrarily steer about a wavefunction for a quantum system under time-dependent external field control. Criteria on the field free Hamiltonian and the field coupling term in the Hamiltonian are presented that assure full wavefunction controllability. Numerical simulations are given to illustrate the criteria. A discussion on the theoretical and practical relationship between dynamical conservation laws and controllability is also included.

Domaines: Analyse numérique [math.NA]; Physique Quantique [quant-ph]

Gabriel Turinici, Herschel Rabitz. Quantum Wave Function Controllability. Chemical Physics, 2001, 267 (1-3), pp.1-9. ⟨hal-00798314⟩