Suppression of superradiance in spatially modulated open Dicke lattice model

Abstract

We investigate the dynamics of the open Dicke lattice model (DLM) with spatially modulated light-matter coupling and periodic boundary conditions. By considering quantum noise via the truncated Wigner approximation (TWA), we highlight the dynamics and phase transitions of the system from the normal phase (NP) to the superradiant (SR) phase. Specifically, we look at the order parameter corresponding to the photon population in the system and the coherence of the atoms in each cavity. By applying a spatiotemporal Fourier transform to the cavity mode variable, we construct the excitation spectra for different sets of parameters of the spatial modulation. Our work shows that the spatial modulation for n = 2 suppresses the phase transition to the SR phase, allowing the system to remain in the NP even at high intensities of the light-matter coupling.