We propose an analysis of the time-optimal control of a dissipative two-level quantum system whose dynamics is governed by the Lindblad equation. This simple system allows one to use tools of… Expand

Preliminary results are complete concerning the time-minimal control of dissipative two-level quantum systems whose dynamics is governed by the Lindblad equation and the extremal system is described by a 3D-Hamiltonian depending upon three parameters.Expand

Several complete textbooks of mathematics on geometric optimal control theory exist in the literature, but little has been done with relevant applications in control engineering. This monograph is… Expand

In this communication, state-of-the-art quantum control techniques are reviewed and put into perspective by a consortium of experts in optimal control theory and applications to spectroscopy, imaging, as well as quantum dynamics of closed and open systems.Expand

A general and versatile method allowing the derivation of smooth pulses which feature the properties of high fidelity, robustness, and low area is established.Expand

We have measured the rotationless photodissociation threshold of six isotopologues of NO2 containing 14N, 15N, 16O, and 18O isotopes using laser induced fluorescence detection and jet cooled NO2 (to… Expand

This work considers the vibrational spectrum of the HOCl molecule which is used as an illustrative example to show the presence of nontrivial fractional bidromy.Expand

Control of the orientation of the angular momentum of linear molecules is demonstrated by means of laser polarization shaping by combining two orthogonally polarized and partially time-overlapped femtosecond laser pulses to produce a spinning linear polarization which induces unidirectional rotation of N2 molecules.Expand

To the knowledge, this is the first experimental demonstration of singular extremals in quantum systems with bounded control amplitudes in a case where the control law is explicitly determined.Expand