Summary
Future atomtronic circuits will be fabricated by integrating the functionalities of different sub-circuits. The main objective of this deliverable is to develop machine learning based control on simple integrated atomtronic circuits with lumped parameters.Specifically, we resort to our first study to generate currents ‘on demand’ by suitable local driving of the circuits. Our approach does not rely on synthetic gauge fields, and therefore it could simplifies the technology for the manipulations of current states in atomtronic circuits considerably. In addition, the flowing currents so generated are notmesoscopic effects (displaying the characteristic inverse size dependence) and therefore they can be well defined also in the limit of larger circuits. We will focus on the study of a single ring-shaped circuit interrupted by weak impurities. In suchsystems we can generate current states without synthetic fields and therefore our systems can define AQUIDs or atomtronic flux qubits but with new specifications and a simplified architectures]. For such systems, we will develop theoretical tools for their analysis, identifying the relevant observables to read-out their physical conditions in the experiments. We will also consider simple networks of atomtronic elements like AQUIDs coupled to rectilinear wave guides. We will look at protocols to monitor the AQUID devices. The ring condensate will be described by Bose Hubbard models and suitable Gross-Pitaevskii equation with adelta barrier describing a localised weak link.
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