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.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Yu, Hongji

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-042816-112900

Award

• Provost's MQP Award

Advisor

• Zozulya, Alex A.
• Tilley, Burt S.

Year

• 2016

Date created

• 2016-04-28

Location

• Worcester

Resource type

• Major Qualifying Project

Major

• Interdisciplinary

Rights statement

• In Copyright

Last modified

• 2023-01-20