Quantum control design by Lyapunov trajectory tracking for dipole and polarizability coupling

Details Quantum control design by Lyapunov trajectory tracking for dipole and polarizability coupling Quantum control design by Lyapunov trajectory tracking for dipole and polarizability coupling

Oct 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009njph...11j5034c&link_type=abstract

New Journal of Physics, Volume 11, Issue 10, pp. 105034 (2009).

Physics

2

Scientific paper

In this paper we analyze 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.

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