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Published October 2016 | Published + Submitted
Journal Article Open

Nonadiabatic quantum phase transition in a trapped spinor condensate

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.

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.

Attached Files

Published - PhysRevA.94.043635.pdf

Submitted - 1609.03736.pdf

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Additional details

Created:
August 20, 2023
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October 25, 2023