Controllability of open quantum systems

Andreea Grigoriu (1) , Herschel Rabitz (2) , Gabriel Turinici (1)

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

The problem of controllability of open quantum systems (i.e., quantum systems interacting with an environment), whose dynamics is described by a non-Markowian master equation is addressed. The manipulations of the dynamics is realized with both a laser eld and a tailored nonequilibrium, and generally time-dependent, state of the surrounding environment. Lie algebra theory is used to characterize the structures of the reachable states sets and to prove controllability. The theoretical results are supported by examples.

Mots clés: quantum control; controllability of the Lindblad equation; open system controllability; Lie group controllability; controllability in a non-compact Lie group

Domaines: Analyse numérique [math.NA]; Chimie théorique et/ou physique; Physique Quantique [quant-ph]

Andreea Grigoriu, Herschel Rabitz, Gabriel Turinici. Controllability of open quantum systems. 2012. ⟨hal-00696546v2⟩