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Soliton confinement in a quantum circuit

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  • Ananda Roy

    (Rutgers University)

  • Sergei L. Lukyanov

    (Rutgers University)

Abstract

Confinement of topological excitations into particle-like states - typically associated with theories of elementary particles - are known to occur in condensed matter systems, arising as domain-wall confinement in quantum spin chains. However, investigation of confinement in the condensed matter setting has rarely ventured beyond lattice spin systems. Here we analyze the confinement of sine-Gordon solitons into mesonic bound states in a perturbed quantum sine-Gordon model. The latter describes the scaling limit of a one-dimensional, quantum electronic circuit (QEC) array, constructed using experimentally-demonstrated QEC elements. The scaling limit is reached faster for the QEC array compared to spin chains, allowing investigation of the strong-coupling regime of this model. We compute the string tension of confinement of sine-Gordon solitons and the changes in the low-lying energy spectrum. These results, obtained using the density matrix renormalization group method, could be verified in a quench experiment using state-of-the-art QEC technologies.

Suggested Citation

  • Ananda Roy & Sergei L. Lukyanov, 2023. "Soliton confinement in a quantum circuit," Nature Communications, Nature, vol. 14(1), pages 1-6, December.
  • Handle: RePEc:nat:natcom:v:14:y:2023:i:1:d:10.1038_s41467-023-43107-3
    DOI: 10.1038/s41467-023-43107-3
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