DESIGN OF TAILORED MICROWAVE PULSES TO CREATE ROTATIONAL COHERENT STATES FOR AN ASYMMETRIC-TOP MOLECULE

Tailored microwave pulses, to guide asymmetric-top molecules from sele cted rotational states belonging to the vibronic ground state to gener alized angular-momentum coherent states, are designed by using optimal control theory. Characteristics that the molecules have to fulfill in order to achieve the goal with feasible pulses are discussed. Propert ies of the pulses are discussed as well. The further dephasing among t he components of the wave packet which, for the simplest coherent stat e, is a form of dynamical tunneling, can be lacked by exploiting the c hanges that energy levels and eigenfunctions undergo in the presence o f an external static electric field with appropriate intensity. For th e special case with M=0, periodic fields are more flexible in avoiding dephasing. This is shown by examining properties of quasienergies and dressed states resulting from the diagonalization df a truncated Floq uet matrix.