Superfluid transport dynamics in a capacitive atomtronic circuit
Aijun Li, Stephen Eckel, Benjamin Eller, Kayla E. Warren, Charles W., Clark, Mark Edwards

TL;DR
This paper uses simulations of the Gross-Pitaevskii equation to analyze superfluid transport in an atomtronic circuit, revealing circuit-like behavior and atom loss, with implications for future atomtronic device studies.
Contribution
It demonstrates that the GPE can effectively model superfluid transport in atomtronic circuits, showing circuit analogies and predicting atom loss, aligning with experimental data.
Findings
Circuit behaves like a critically damped RLC circuit
Observation of LC oscillations in the system
Prediction of atom loss from the drain
Abstract
We simulate transport in an atomtronic circuit of a Bose-Einstein condensate that flows from a source region into a drain through a gate channel. The time-dependent Gross-Pitaevskii equation (GPE) solution matches the data of a recent experiment. The atomtronic circuit is found to be similar to a variable-resistance RLC circuit, which is critically damped at early times and shows LC oscillations later. The GPE also predicts atom loss from the drain. Studies of the dependence of condensate transport upon gate parameters suggest the utility of the GPE for investigation of atomtronic circuits.
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