Analytical Pendulum Model for a Bosonic Josephson Junction
Abstract
We present an analytical description of the tunneling dynamics between two coupled Bose-Einstein condensates in the Josephson regime. The model relies on the classical analogy with a rigid pendulum and focuses on two dynamical modes of this system: Josephson oscillations and Macroscopic Quantum Self-Trapping. The analogy is extended to include an energy difference between the two superfluids caused by an asymmetry in the trapping potential. The model is compatible with the mean-field predictions of the two-mode Bose-Hubbard model. It gives new insights on the mean-field model by involving experimentally measurable parameters with reduced correlations. For agreement with recent experimental observations, we establish heuristic formulas including a dissipation. We conclude with a convincing application of the model to several sets of experimental results.
Cite
@article{arxiv.1810.02772,
title = {Analytical Pendulum Model for a Bosonic Josephson Junction},
author = {Marine Pigneur and Jörg Schmiedmayer},
journal= {arXiv preprint arXiv:1810.02772},
year = {2018}
}