Grassmann phase space theory for fermions

Dalton, B. J., Jeffers, J. and Barnett, S. M. (2017) Grassmann phase space theory for fermions. Fortschritte der Physik, 65(6-8), 1600038. (doi:10.1002/prop.201600038)

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Abstract

A phase space theory for fermions has been developed using Grassmann phase space variables which can be used in numerical calculations for cold Fermi gases and for large fermion numbers. Numerical calculations are feasible because Grassmann stochastic variables at later times are related linearly to such variables at earlier times via c-number stochastic quantities. A Grassmann field version has been developed making large fermion number applications possible. Applications are shown for few mode and field theory cases.

Item Type:Articles
Additional Information:This work was supported by the Australian Research Council Centre of Excellence for Quantum Atom Optics (ARC Centres of Excellence, Grant ID CE0348178), the Royal Society and the Wolfson foundation.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Barnett, Professor Stephen
Authors: Dalton, B. J., Jeffers, J., and Barnett, S. M.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Fortschritte der Physik
Publisher:Wiley
ISSN:0015-8208
ISSN (Online):1521-3978
Published Online:09 September 2016
Copyright Holders:Copyright © 2016 Wiley-VCH Verlag GmbH & Co. KGaA
First Published:First published in Fortschritte der Physik 65(6-8): 1600038
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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