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Title: Phase Separation and Pattern Formation in a Binary Bose-Einstein Condensate

Abstract

The miscibility-immiscibility phase transition in binary Bose-Einstein condensates (BECs) can be controlled by a coupling between the two components. Here we propose a new scheme that uses coupling-induced pattern formation to test the Kibble-Zurek mechanism (KZM) of topological-defect formation in a quantum phase transition. For a binary BEC in a ring trap we find that the number of domains forming the pattern scales as a function of the coupling quench rate with an exponent as predicted by the KZM. For a binary BEC in an elongated harmonic trap we find a different scaling law due to the transition being spatially inhomogeneous. We perform a ''quantum simulation'' of the harmonically trapped system in a ring trap to verify the scaling exponent.

Authors:
;  [1];  [2]
  1. University of Queensland, School of Mathematics and Physics, Queensland 4072 (Australia)
  2. Theory Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)
Publication Date:
OSTI Identifier:
21612329
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 107; Journal Issue: 23; Other Information: DOI: 10.1103/PhysRevLett.107.230402; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN CONDENSATION; PHASE TRANSFORMATIONS; SCALING LAWS; SIMULATION; SOLUBILITY; TOPOLOGY; TRAPPING; MATHEMATICS

Citation Formats

Sabbatini, Jacopo, Davis, Matthew J, and Zurek, Wojciech H. Phase Separation and Pattern Formation in a Binary Bose-Einstein Condensate. United States: N. p., 2011. Web. doi:10.1103/PHYSREVLETT.107.230402.
Sabbatini, Jacopo, Davis, Matthew J, & Zurek, Wojciech H. Phase Separation and Pattern Formation in a Binary Bose-Einstein Condensate. United States. https://doi.org/10.1103/PHYSREVLETT.107.230402
Sabbatini, Jacopo, Davis, Matthew J, and Zurek, Wojciech H. Fri . "Phase Separation and Pattern Formation in a Binary Bose-Einstein Condensate". United States. https://doi.org/10.1103/PHYSREVLETT.107.230402.
@article{osti_21612329,
title = {Phase Separation and Pattern Formation in a Binary Bose-Einstein Condensate},
author = {Sabbatini, Jacopo and Davis, Matthew J and Zurek, Wojciech H},
abstractNote = {The miscibility-immiscibility phase transition in binary Bose-Einstein condensates (BECs) can be controlled by a coupling between the two components. Here we propose a new scheme that uses coupling-induced pattern formation to test the Kibble-Zurek mechanism (KZM) of topological-defect formation in a quantum phase transition. For a binary BEC in a ring trap we find that the number of domains forming the pattern scales as a function of the coupling quench rate with an exponent as predicted by the KZM. For a binary BEC in an elongated harmonic trap we find a different scaling law due to the transition being spatially inhomogeneous. We perform a ''quantum simulation'' of the harmonically trapped system in a ring trap to verify the scaling exponent.},
doi = {10.1103/PHYSREVLETT.107.230402},
url = {https://www.osti.gov/biblio/21612329}, journal = {Physical Review Letters},
issn = {0031-9007},
number = 23,
volume = 107,
place = {United States},
year = {2011},
month = {12}
}