Title: Energy Transfer in Two-Level Quantum Systems via Speed Gradient-Based Algorithm∗∗The work was performed in the Institute of Problems of Mechanical Engineering and supported by Russian Science Foundation (grant 14-29-00142).
Abstract: We develop the speed gradient-based algorithm for controlled transfer of energy in a two-level quantum system towards a predefined value of energy using as control spectral density of incoherent photons. The algorithm can stabilize energy at a value less than one half of the energy gap between the two system states and is shown to be more effective for cooling than for heating.