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Nonadiabatic quantum phase transition in a trapped spinor condensate

Świsłocki, Tomasz and Witkowska, Emilia and Matuszewski, Michał (2016) Nonadiabatic quantum phase transition in a trapped spinor condensate. Physical Review A, 94 (4). Art. No. 043635. ISSN 2469-9926. http://resolver.caltech.edu/CaltechAUTHORS:20170406-102510411

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Abstract

We study the effect of an external harmonic trapping potential on an outcome of the nonadiabatic quantum phase transition from an antiferromagnetic to a phase-separated state in a spin-1 atomic condensate. Previously, we demonstrated that the dynamics of an untrapped system exhibits double universality with two different scaling laws appearing due to the conservation of magnetization. We show that in the presence of a trap, double universality persists. However, the corresponding scaling exponents are strongly modified by the transfer of local magnetization across the system. The values of these exponents cannot be explained by the effect of causality alone, as in the spinless case. We derive the appropriate scaling laws based on a slow diffusive-drift relaxation process in the local density approximation.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevA.94.043635DOIArticle
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.94.043635PublisherArticle
https://arxiv.org/abs/1609.03736arXivDiscussion Paper
Alternate Title:Non-adiabatic quantum phase transition in a trapped spinor condensate
Additional Information:© 2016 American Physical Society. Received 12 September 2016; published 19 October 2016. The authors would like to acknowledge J. Dziarmaga for his initial contribution to the project. E.W. acknowledges a discussion with B. Damski, and O. Hul for a careful reading of the manuscript. This work was supported by the National Science Center Grants No. DEC-2015/18/E/ST2/00760, No. DEC-2012/07/E/ST2/01389, No. DEC-2011/01/D/ST3/00482, and No. DEC-2015/17/D/ST2/03527.
Group:Space Astrophysics Laboratory
Funders:
Funding AgencyGrant Number
National Science Centre (Poland)DEC-2015/18/E/ST2/00760
National Science Centre (Poland)DEC-2012/07/E/ST2/01389
National Science Centre (Poland)DEC-2011/01/D/ST3/00482
National Science Centre (Poland)DEC-2015/17/D/ST2/03527
Record Number:CaltechAUTHORS:20170406-102510411
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170406-102510411
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:75798
Collection:CaltechAUTHORS
Deposited By: Deborah Miles
Deposited On:06 Apr 2017 18:08
Last Modified:06 Apr 2017 19:26

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