Tilley, Burt S.
Zozulya, Alex A.
Atomtronics studies cold atom analogs of electric circuits. An ultra-cold Bose gas cloud trapped in a specially shaped trap can serve as a “battery” for such a circuit. We investigate the behavior of this system at different loads. We first perform a bifurcation analysis with respect to the adjustable out-coupling parameter, finding a domain where stable solutions exist and a range of initial conditions that converge to stable equilibria. We also look at the relation between the load current and chemical potential, which gives the I-V relation of the battery,and find that the model resembles an electronic battery well at low loads, but shows negative resistance at high loads. Finally we look at a few typical dynamic simulations of the system when the out-coupling strength varies in time.
Worcester Polytechnic Institute
Major Qualifying Project
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