Photonic analogue of Josephson effect in a dual-species optical-lattice cavity
Soi-Chan Lei, Tai-Kai Ng, and Ray-Kuang Lee

TL;DR
This paper introduces a dual-species photonic lattice model exhibiting quantum phase transitions, including Mott-insulator and superfluid phases, with a photonic Josephson effect, serving as a potential quantum simulator.
Contribution
It extends the photonic Bose-Hubbard model to two atomic species, revealing new ground states and a photonic Josephson effect through a self-consistent mean field approach.
Findings
Identified four ground states, including Mott-insulator and superfluid phases.
Demonstrated a photonic analogue of Josephson effect between two species.
Analyzed finite temperature effects on the phase transitions.
Abstract
We extend the idea of quantum phase transitions of light in the photonic Bose-Hubbard model with interactions to two atomic species by a self-consistent mean field theory. The excitation of two-level atoms interacting with coherent photon fields is analyzed with a finite temperature dependence of the order parameters. Four ground states of the system are found, including an isolated Mott-insulator phase and three different superfluid phases. Like two weakly coupled superconductors, our proposed dual-species lattice system shows a photonic analogue of Josephson effect. The dynamics of the proposed two species model provides a promising quantum simulator for possible quantum information processes.
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