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

doi:https://doi.org/10.1103/PHYSREVLETT.107.230402

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

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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:

Sabbatini, Jacopo; Davis, Matthew J ^[1]; Zurek, Wojciech H ^[2]

University of Queensland, School of Mathematics and Physics, Queensland 4072 (Australia)
Theory Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

Publication Date:: 2011-12-02

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.

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                    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

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                    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.

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@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}

}

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