Polaritonic properties of the Jaynes-Cummings lattice model in two dimensions

Michael Knap, Enrico Arrigoni, Wolfgang Von Der Linden

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Light-matter systems allow to realize a strongly correlated phase where photons are present. In these systems strong correlations are achieved by optical nonlinearities, which appear due to the coupling of photons to atomic-like structures. This leads to intriguing effects, such as the quantum phase transition from the Mott to the superfluid phase. Here, we address the two-dimensional Jaynes-Cummings lattice model. We evaluate the boundary of the quantum phase transition and study polaritonic properties. In order to be able to characterize polaritons, we investigate the spectral properties of both photons as well as two-level excitations. Based on this information we introduce polariton quasiparticles as appropriate wavevector, band index, and filling dependent superpositions of photons and two-level excitations. Finally, we analyze the contributions of the individual constituents to the polariton quasiparticles.

Original languageEnglish
Pages (from-to)2036-2040
Number of pages5
JournalComputer Physics Communications
Issue number9
StatePublished - Sep 2011
Externally publishedYes


  • Band Lanczos method
  • Jaynes-Cummings lattice model
  • Polaritons
  • Quantum phase transition
  • Spectral properties
  • Variational cluster approach


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