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

Abstract

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.

Supersolid phases of light in extended Jaynes-Cummings-Hubbard systems

“…An array of coupled photon cavities that contain twolevel atoms can be described by the JCH model [22][23][24][47][48][49] . In this paper we extend the JCH to the case of Rydberg atoms by including a dipole interaction term.…”

Strong coupling expansion for the Bose–Hubbard and Jaynes–Cummings lattice models

“…Additionally, figure 19 shows a comparison of data computed with VCA [15]. Two systems were simulated, with the first having two dimensions and unit filling factor and the second also two dimensions but filling factor g = 2.…”

“…A representative example of two digraphs that pass all these tests is depicted in figure 1. The corresponding adjacency matrix of the left digraph is 15) and the adjacency matrix of the right digraph reads…”

“…The obtained results are shown in section 6.2, where we compare the energies of various systems for different occupation numbers and dimensions. Additionally, we compare data from the Kato-Bloch approach with results obtained with VCA [15]. The calculation of the Mott insulator-superfluid phase transition is explained in section 6.…”