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Condensed Matter > Mesoscale and Nanoscale Physics

arXiv:1608.02093 (cond-mat)
[Submitted on 6 Aug 2016]

Title:Topological edge states of bound photon pairs

Authors:Maxim A. Gorlach, Alexander N. Poddubny
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Abstract:We predict the existence of interaction-driven edge states of bound two-photon quasiparticles in a dimer periodic array of nonlinear optical cavities. Energy spectrum of photon pairs is dramatically richer than in the noninteracting case or in a simple lattice, featuring collapse and revival of multiple edge and bulk modes as well as edge states in continuum. Despite the unexpected breakdown of the Zak phase technique and the edge mixing of internal and center-of-mass motion we link the edge state existence to the two-photon quantum walk graph connectivity, thus uncovering the topological nature of the many-body problem in complex lattices.
Comments: 5 pages, 4 figures+ Supplementary
Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Optics (physics.optics); Quantum Physics (quant-ph)
Cite as: arXiv:1608.02093 [cond-mat.mes-hall]
  (or arXiv:1608.02093v1 [cond-mat.mes-hall] for this version)
  https://doi.org/10.48550/arXiv.1608.02093
Journal reference: Phys. Rev. A 95, 053866 (2017)
Related DOI: https://doi.org/10.1103/PhysRevA.95.053866

Submission history

From: Alexander N. Poddubny [view email]
[v1] Sat, 6 Aug 2016 10:45:28 UTC (828 KB)
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