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Simulation of non-Abelian gauge theories with optical lattices

Author

Listed:
  • L. Tagliacozzo

    (ICFO—The Institute of Photonic Sciences)

  • A. Celi

    (ICFO—The Institute of Photonic Sciences)

  • P. Orland

    (Baruch College and the Graduate School and University Center, CUNY)

  • M. W. Mitchell

    (ICFO—The Institute of Photonic Sciences
    ICREA-Institució Catalana de Recerca i Estudis Avançats)

  • M. Lewenstein

    (ICFO—The Institute of Photonic Sciences
    ICREA-Institució Catalana de Recerca i Estudis Avançats)

Abstract

Many phenomena occurring in strongly correlated quantum systems still await conclusive explanations. The absence of isolated free quarks in nature is an example. It is attributed to quark confinement, whose origin is not yet understood. The phase diagram for nuclear matter at general temperatures and densities, studied in heavy-ion collisions, is not settled. Finally, we have no definitive theory of high-temperature superconductivity. Though we have theories that could underlie such physics, we lack the tools to determine the experimental consequences of these theories. Quantum simulators may provide such tools. Here we show how to engineer quantum simulators of non-Abelian lattice gauge theories. The systems we consider have several applications: they can be used to mimic quark confinement or to study dimer and valence-bond states (which may be relevant for high-temperature superconductors).

Suggested Citation

  • L. Tagliacozzo & A. Celi & P. Orland & M. W. Mitchell & M. Lewenstein, 2013. "Simulation of non-Abelian gauge theories with optical lattices," Nature Communications, Nature, vol. 4(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:4:y:2013:i:1:d:10.1038_ncomms3615
    DOI: 10.1038/ncomms3615
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    Cited by:

    1. Yasar Y. Atas & Jinglei Zhang & Randy Lewis & Amin Jahanpour & Jan F. Haase & Christine A. Muschik, 2021. "SU(2) hadrons on a quantum computer via a variational approach," Nature Communications, Nature, vol. 12(1), pages 1-11, December.

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