Quantum control design by Lyapunov trajectory tracking for dipole and polarizability coupling
Abstract
We analyse in this paper the Lyapunov trajectory tracking of the Schrödinger equation for a coupling control operator containing both a linear (dipole) and a quadratic (polarizability) term. We show numerically that the contribution of the quadratic part cannot be exploited by standard trajectory tracking tools and propose two improvements: discontinuous feedback and periodic (time-dependent) feedback. For both cases we present theoretical results and support them by numerical illustrations.
Domains
Numerical Analysis [math.NA]
Origin : Files produced by the author(s)
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