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Many-body dynamics of p-wave Feshbach molecule production: a mean-field approach

Many-body dynamics of p-wave Feshbach molecule production: a mean-field approach
Many-body dynamics of p-wave Feshbach molecule production: a mean-field approach
We study the mean-field dynamics of p-wave Feshbach molecule production in an ultra cold gas of Fermi atoms in the same internal state. We derive a separable potential to describe the low-energy scattering properties of such atoms, and use this potential to solve the mean-field dynamics during a magnetic field sweep. Initially, on the negative scattering length side of a Feshbach resonance the gas is described by the BCS theory. We adapt the method by Szymaska et al. [Phys. Rev. Lett. 94, 170402 (2005)] to p-wave interacting Fermi gases and model the conversion dynamics of the gas into a Bose-Einstein condensate of molecules on the other side of the resonance under the influence of a linearly varying magnetic field. We have analyzed the dependence of the molecule production efficiency on the density of the gas, temperature, initial value of the magnetic field, and magnetic field ramp speed. Our results show that in this approximation molecule production by a linear magnetic field sweep is highly dependent on the initial state.
Austen, L.
215be2a3-2627-42bc-baad-9c83a6afffbe
Cook, L.
3d364bf7-2254-441f-9bc0-44596dbb00bc
Lee, M.D.
c99e32c7-e47e-46ac-8a24-aecd437fc5f1
Mur-Petit, J.
59eade91-d096-4872-ad68-75788fa566d7
Austen, L.
215be2a3-2627-42bc-baad-9c83a6afffbe
Cook, L.
3d364bf7-2254-441f-9bc0-44596dbb00bc
Lee, M.D.
c99e32c7-e47e-46ac-8a24-aecd437fc5f1
Mur-Petit, J.
59eade91-d096-4872-ad68-75788fa566d7

Austen, L., Cook, L., Lee, M.D. and Mur-Petit, J. (2012) Many-body dynamics of p-wave Feshbach molecule production: a mean-field approach. Pre-print.

Record type: Article

Abstract

We study the mean-field dynamics of p-wave Feshbach molecule production in an ultra cold gas of Fermi atoms in the same internal state. We derive a separable potential to describe the low-energy scattering properties of such atoms, and use this potential to solve the mean-field dynamics during a magnetic field sweep. Initially, on the negative scattering length side of a Feshbach resonance the gas is described by the BCS theory. We adapt the method by Szymaska et al. [Phys. Rev. Lett. 94, 170402 (2005)] to p-wave interacting Fermi gases and model the conversion dynamics of the gas into a Bose-Einstein condensate of molecules on the other side of the resonance under the influence of a linearly varying magnetic field. We have analyzed the dependence of the molecule production efficiency on the density of the gas, temperature, initial value of the magnetic field, and magnetic field ramp speed. Our results show that in this approximation molecule production by a linear magnetic field sweep is highly dependent on the initial state.

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More information

Submitted date: 8 October 2012
Additional Information: Imported from arXiv
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Organisations: Applied Mathematics

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Local EPrints ID: 344682
URI: https://eprints.soton.ac.uk/id/eprint/344682
PURE UUID: aaa7db4b-5a8e-4b0d-96e5-9c8c4f28c15e

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Date deposited: 02 Nov 2012 14:58
Last modified: 18 Jul 2017 05:14

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Contributors

Author: L. Austen
Author: L. Cook
Author: M.D. Lee
Author: J. Mur-Petit

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