Hidden Order in Quantum Many-body Dynamics of Driven-Dissipative Nonlinear Photonic Lattices
Jirawat Tangpanitanon, Stephen R. Clark, V. M. Bastidas, Rosario, Fazio, Dieter Jaksch, Dimitris G. Angelakis

TL;DR
This paper demonstrates the emergence of long-range hidden order in driven-dissipative nonlinear photonic lattices, revealing connections to the Haldane insulator and proposing a superconducting circuit implementation.
Contribution
It introduces a novel quantum many-body state with hidden order in driven-dissipative photonic systems, analyzed via matrix-product-state calculations.
Findings
Long-range hidden order can be generated from vacuum
Order resembles the Haldane insulator
Superconducting circuits can realize the system
Abstract
We study the dynamics of nonlinear photonic lattices driven by two-photon parametric processes. By means of matrix-product-state based calculations, we show that a quantum many-body state with long-range hidden order can be generated from the vacuum. This order resembles that characterizing the Haldane insulator. A possible explanation highlighting the role of the symmetry of the drive, and the effect of photon loss are discussed. An implementation based in superconducting circuits is proposed and analyzed
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