Demos.OptDoubleWell.Main

WavePacket demo example: Optimal control in a double well potential

Typically, in optimal control of quantum dynamics in an (asymmetric) double well potential, the task is to drive population between the wells, ideally with as low as possible intensities of the driving fields. This is illustrated here for two example systems.

Double well with two localized states

The simplest case of a one-dimensional, asymmetric quantum double well system has a potential where the two wells are so shallow that each of them can accomodate only a single localized state whereas all other states are delocalized because they are above the barrier. Optimal control can be used to design external fields driving population efficiently and selectively between the localized states. We use the example from the tutorial by J.Werschnik and E.K.U.Gross where extensive reference data are available. Learn more ...

Double well with 11 localized states

In the work by Boris Schäfer-Bung et al., also showcased as one of our double well demo examples, we introduced a one-dimensional, asymmetric quantum double well system which has 6 (5) states localized within the left (right) potential well. In addition to drive populations between left and right well and delocalized states, optimal control fields can also be used to induce ladder climbing within each of the wells. Here we consider open system quantum dynamics including dissipation and decoherence due to interaction with a thermal environment. In order to reduce the computation effort for solving the corresponding Liouville-von Neumann equation, we employ here the balanced truncation method as well as H2 optimal models with the designing optimal control fields in reduced dimensionality. Learn more ...