Double-target BEC atomtronic rotation sensor

We present a proof-of-concept design for an atomtronic rotation sensor consisting of an array of "double-target" Bose-Einstein condensates (BECs). A "target" BEC is a disk-shaped condensate surrounded by a concentric ring-shaped condensate. A "double-target" BEC is two adjacent target BECs whose ring condensates partially overlap. The sensor consists of an nxm array of these double-target BECs. The measurement of Ω_R is carried out by creating the array of double-target BECs (setup step), inducing unit of quantized flow in the top ring of each member of the array (initialization step), applying potential barriers in the overlap region of each member (measurement step), and observing whether the induced flow is transferred from the top to the bottom ring in each member (readout step). We describe a set of simulations showing that a single instance of a double-target BEC behaves in a way that enables the correct operation of an nxm array for measuring Ω_R. As an example of sensor operation we present a simulation showing that a 2x2 array can be designed to measure Ω_R in a user-specified range.