Díaz, P., Laroze, D. and Malomed, B. A. (2015) Correlations and synchronization in a Bose-Fermi mixture. Journal of Physics B: Atomic, Molecular and Optical Physics, 48(7), 075301. (doi: 10.1088/0953-4075/48/7/075301)
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Abstract
We study a Bose-Fermi mixture within the framework of the mean-field theory, including three possible regimes for the fermionic species: fully polarized, BCS, and unitarity. Starting from the 3D description and using the variational approximation (VA), we derive 1D and 2D systems of equations, under the corresponding confining potentials. This method produces a pair of nonlinear Schr\"{o}dinger (NLS) equations coupled to algebraic equations for the transverse widths of the confined state. The equations incorporate interactions between atoms of the same species and between the species, assuming that the latter can be manipulated by means of the Feshbach resonance (FR). As an application, we explore spatial density correlations in the ground state (GS) between the species, concluding that they strongly depend on the sign and strength of the inter-species interaction. Also studied are the dynamics of the mixture in a vicinity of the GS and the corresponding spatiotemporal inter-species correlation. The correlations are strongly affected by the fermionic component, featuring the greatest variation in the unitary regime. Results produced by the VA are verified by comparison with full numerical solutions.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Laroze, Dr David |
| Authors: | Díaz, P., Laroze, D., and Malomed, B. A. |
| College/School: | College of Science and Engineering > School of Physics and Astronomy |
| Journal Name: | Journal of Physics B: Atomic, Molecular and Optical Physics |
| Publisher: | Institute of Physics |
| ISSN: | 0953-4075 |
| ISSN (Online): | 1361-6455 |
| Copyright Holders: | Copyright © 2015 Institute of Physics |
| First Published: | First published in Journal of Physics B: Atomic, Molecular and Optical Physics 48(7):075301 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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