2nd International Conference on Contemporary Academic Research ICCAR 2023, Konya, Turkey, 4 - 05 November 2023, pp.91
Recent great progress in studying theoretical and especially experimental properties of Bose-Einstein condensate (BEC) gives way to developing and designing principally type of quantum devices, including quantum sensors for measuring with high sensitivity nonlinear interactions, external electrical and magnetic fields, and other physical characteristics. Here we discuss the application of feedback control over a quantum sensor based on the Bose-Einstein condensate (BEC) trapped in two-dimensional ring potential. For a weakly interacting regime, the dynamics of such a system is modeled by three coupled complex differential master equations containing the parameter of interaction and the chemical potential parameter. The last one plays the role of control variable in sensing protocol for two-body interaction. The goal of control is to minimize the effects of the higher energy levels in BEC by driving their corresponding matrix density elements. The control algorithm is designed as Kolesnikov’s feedback forming an artificial target attractor in the dynamical system. We re-formulate Kolesnikov’s approach in the operator form to adapt it to modeling quantum engineering processes. Control over particular elements of the density matrix improves the efficiency of the sensing protocol and opens a door for new types of mathematical algorithms for modeling quantum devices. The control approach proposed here can be efficiently extended for different sensing protocols for detecting external magnetic fields, rotational components, and other physical characteristics of BEC interacting with the environment.