Numerical model for atomtronic circuit analysis
Abstract
A model for studying atomtronic devices and circuits based on finite temperature Bose-condensed gases is presented. The approach involves numerically solving equations of motion for atomic populations and coherences, derived using the Bose-Hubbard Hamiltonian and the Heisenberg picture. The resulting cluster expansion is truncated at a level giving balance between physics rigor and numerical demand mitigation. This approach allows parametric studies involving time scales that cover both the rapid population dynamics relevant to non-equilibrium state evolution, as well as the much longer time durations typical for reaching steady-state device operation. The model is demonstrated by studying the evolution of a Bose-condensed gas in the presence of atom injection and extraction in a double-well potential. In this configuration phase-locking between condensates in each well of the potential is readily observed, and its influence on the evolution of the system is studied.
Cite
@article{arxiv.1507.03970,
title = {Numerical model for atomtronic circuit analysis},
author = {Weng W. Chow and Cameron J. E. Straatsma and Dana Z. Anderson},
journal= {arXiv preprint arXiv:1507.03970},
year = {2016}
}
Comments
9 pages, 9 figures, accepted for publication in PRA