Band Structure, Phase transitions and Semiconductor Analogs in One-Dimensional Solid Light Systems

Abstract

The conjunction of atom-cavity physics and photonic structures (``solid light'' systems) offers new opportunities in terms of more device functionality and the probing of designed emulators of condensed matter systems. By analogy to the canonical one-electron approximation of solid state physics, we propose a one-polariton approximation to study these systems. Using this approximation we apply Bloch states to the uniformly tuned Jaynes-Cummings-Hubbard model to analytically determine the energy band structure. By analyzing the response of the band structure to local atom-cavity control we explore its application as a quantum simulator and show phase transition features absent in mean field theory. Using this novel approach for solid light systems we extend the analysis to include detuning impurities to show the solid light analogy of the semiconductor. This investigation also shows new features with no semiconductor analog.

7 pages

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Cited by in corpus (20)

• Fractional Quantum Hall Physics in Jaynes-Cummings-Hubbard Lattices
• Non-equilibrium many-body effects in driven nonlinear resonator arrays
• Reconfigurable quantum metamaterials
• Quantum metamaterials in the microwave and optical ranges
• Resonant atom-field interaction in large-size coupled-cavity arrays
• Trace distance and scaling behavior of coupled cavity lattice at finite temperature
• Scattering and bound states of two polaritons in an array of coupled cavities
• Entanglement-enhanced two-photon delocalization in a coupled-cavity array
• Superfluid-Mott transitions and vortices in the Jaynes-Cummings-Hubbard lattices with time reversal symmetry breaking
• Equilibrium and Disorder-induced behavior in Quantum Light-Matter Systems
• Domain structures in quantum graphity
• Photonic analogue of Josephson effect in a dual-species optical-lattice cavity
• Disorder Correlation Frequency Controlled Diffusion in the Jaynes-Cummings-Hubbard Model
• Negative Refraction of Excitations in the Bose-Hubbard Model
• Transformation optics for cavity array metamaterials
• Pfaffian States in Coupled Atom-Cavity Systems
• Dynamical dimerization phase in Jaynes-Cummings lattices
• Collective excitations of atoms and field modes in coupled cavities
• The transport character of quantum state in one-dimensional coupled-cavity-arrays: effect of the number of photons and entanglement degree
• Quantum phase transitions in the multiphoton Jaynes-Cummings-Hubbard model