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@ARTICLE{Blain:1016956,
      author       = {Blain, Ben and Marchegiani, Giampiero and Polo, Juan and
                      Catelani, Gianluigi and Amico, Luigi},
      title        = {{S}oliton versus single-photon quantum dynamics in arrays
                      of superconducting qubits},
      journal      = {Physical review research},
      volume       = {5},
      number       = {3},
      issn         = {2643-1564},
      address      = {College Park, MD},
      publisher    = {APS},
      reportid     = {FZJ-2023-03864},
      pages        = {033130},
      year         = {2023},
      abstract     = {Superconducting circuits constitute a promising platform
                      for future implementation of quantum processors and
                      simulators. Arrays of capacitively coupled transmon qubits
                      naturally implement the Bose-Hubbard model with attractive
                      on-site interaction. The spectrum of such many-body systems
                      is characterized by low-energy localized states defining the
                      lattice analog of bright solitons. Here, we demonstrate that
                      these bright solitons can be pinned in the system, and we
                      find that a soliton moves while maintaining its shape. Its
                      velocity obeys a scaling law in terms of the combined
                      interaction and number of constituent bosons. In contrast,
                      the source-to-drain transport of photons through the array
                      occurs through extended states that have higher energy
                      compared to the bright soliton. For weak coupling between
                      the source or drain and the array, the populations of the
                      source and drain oscillate in time; for chains of even
                      length, their population remains low at all times, while it
                      can reach half the number of total bosons in odd chains.
                      Implications of our results for actual experimental
                      realizations are discussed.},
      cin          = {PGI-11},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-11-20170113},
      pnm          = {5221 - Advanced Solid-State Qubits and Qubit Systems
                      (POF4-522)},
      pid          = {G:(DE-HGF)POF4-5221},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:001061026200004},
      doi          = {10.1103/PhysRevResearch.5.033130},
      url          = {https://juser.fz-juelich.de/record/1016956},
}