Faculty Advisor

Tilley, Burt S.

Faculty Advisor

Zozulya, Alex A.

Abstract

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.

Publisher

Worcester Polytechnic Institute

Date Accepted

April 2016

Major

Physics

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Unrestricted

Advisor Department

Mathematical Sciences

Advisor Department

Physics

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