Nonadiabatic quantum phase transition in a trapped spinor condensate

Tomasz Świsłocki, Emilia Witkowska, and Michał Matuszewski
Phys. Rev. A 94, 043635 – Published 19 October 2016

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.

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  • Received 12 September 2016

DOI:https://doi.org/10.1103/PhysRevA.94.043635

©2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Tomasz Świsłocki1, Emilia Witkowska2, and Michał Matuszewski2

  • 1Faculty of Applied Informatics and Mathematics, Warsaw University of Life Sciences, ul. Nowoursynowska 159, PL-02-786 Warsaw, Poland
  • 2Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, PL-02-668 Warsaw, Poland

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Issue

Vol. 94, Iss. 4 — October 2016

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