Incompressible polaritons in a flat band

Abstract

We study the interplay of geometric frustration and interactions in a non-equilibrium photonic lattice system exhibiting a polariton flat band as described by a variant of the Jaynes-Cummings-Hubbard model. We show how to engineer strong photonic correlations in such a driven, dissipative system by quenching the kinetic energy through frustration. This produces an incompressible state of photons characterized by short-ranged crystalline order with period doubling. The latter manifests itself in strong spatial correlations, i.e., on-site and nearest-neighbor anti-bunching combined with extended density-wave oscillations at larger distances. We propose a state-of-the-art circuit QED realization of our system, which is tunable in situ.

5 pages, 5 figures

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• Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems
• Effective theory and emergent $SU(2)$ symmetry in the flat bands of attractive Hubbard models
• Critical slowing down in driven-dissipative Bose-Hubbard lattices
• Defect states emerging from a non-Hermitian flat band of photonic zero modes
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
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• Direct observation of photonic Landau levels and helical edge states in strained honeycomb lattices
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• Lieb polariton topological insulators
• Nonequilibrium gas-liquid transition in the driven-dissipative photonic lattice
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• Non-Hermiticity Induced Flat Band
• Flatband generator in two dimensions
• Non-Hermitian lattices with a flat band and polynomial power increase
• Linked cluster expansions for open quantum systems on a lattice
• Dynamical properties of dissipative XYZ Heisenberg lattices
• Circuit Quantum Electrodynamics Simulator of Flat Band Physics in Lieb lattice
• Flat-band localization and interaction-induced delocalization of photons
• Fully quantum scalable description of driven dissipative lattice models
• Geometric frustration in polygons of polariton condensates creating vortices of varying topological charge
• Probing photon correlations in the dark sites of geometrically frustrated cavity lattices
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• Simulating frustrated antiferromagnets with quadratically driven QED cavities
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• Frustrated polaritons
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• Dissipation-Induced Mobility and Coherence in Frustrated Lattices
• RKKY plateau in zero- and one-dimensional triangular Kagome lattice models
• Quantum stabilization of photonic spatial correlations
• Realization of Flat Band with Possible Nontrivial Topology in Electronic Kagome Lattice
• Dynamic scaling near the Kasteleyn transition in spin ice: critical relaxation of monopoles and strings following a field quench