Charge qubit under optical control in a thin semiconductor slab

The dynamics of a single-electron double quantum dot (charge qubit) in an optical microcavity has been theoretically analysed taking into account the influence of optical and acoustic phonons. The Lamb modes of a two-dimensional mechanical resonator (thin slab) are considered as an example of an acoustic phonon subsystem. It is found that an optical phonon mode can be used as a qubit control tool, similar to the microcavity photon one. The probability of the quantum operation 'NOT' has been calculated for two qubit control scenarios: in the microcavity photon field and in the combined photon–phonon field of a microcavity and slab. It is shown that the coherent energy exchange between a qubit and a set of acoustic phonon modes reduces this probability, which depends on the number of modes, the initial state of the phonon field, and the decay rate of modes.