Feedback Control over Quantum Sensing Based on Bose-Einstein Condensate Trapped in Two-Dimensional Ring Potential
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Keywords:
Bose-Einstein Condensate, Ring Potential Trapping, Weakly Interacting Regime, Feedback Control, Target AttractorAbstract
Recent great progress in studying theoretical and especially experimental properties of Bose
Einstein condensate (BEC) creates a new era in developing and designing principally novel types of
quantum devices, including quantum sensors for measuring nonlinear interactions, external electrical and
magnetic fields, and other physical characteristics with high sensitivity. Here we discuss the application
of feedback control over a quantum sensor based on the Bose-Einstein condensate trapped in two
dimensional ring potential. For a weakly interacting regime, the dynamics of such a system are 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 quantum engineering processes. The control approach
proposed here can be efficiently extended to different sensing protocols for detecting external magnetic
fields, rotational components, and other physical characteristics of BEC interacting with the environment.
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