Numerical model for atomtronic circuit analysis

Weng W. Chow, Cameron J. E. Straatsma, and Dana Z. Anderson
Phys. Rev. A 92, 013621 – Published 16 July 2015

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 nonequilibrium 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.

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  • Received 31 March 2015

DOI:https://doi.org/10.1103/PhysRevA.92.013621

©2015 American Physical Society

Authors & Affiliations

Weng W. Chow1, Cameron J. E. Straatsma2, and Dana Z. Anderson3,*

  • 1Sandia National Laboratories, Albuquerque, New Mexico 87185-1086, USA
  • 2JILA and Department of Electrical, Computer, and Energy Engineering, University of Colorado, Boulder, Colorado 80309-0440, USA
  • 3JILA and Department of Physics, University of Colorado and National Institute of Standards and Technology, Boulder, Colorado 80309-0440, USA

  • *dana@jila.colorado.edu

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Vol. 92, Iss. 1 — July 2015

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