The problem of controllability of quantum systems interacting with an engineered environment, whose dynamics are described by a non-Markovian master equation is addressed. The manipulations of the dynamics is realized with both a laser field and a tailored non-equilibrium, and generally time-dependent, state of the surrounding environment. Lie algebra theory is used to characterize the structures of the reachable state sets and to prove controllability. The theoretical results are supported by examples.
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- Controllability in a non-compact Lie group
- Controllability of non-Markovian equations
- Lie group controllability
- Quantum control