Photonic spectrum of bichromatic optical lattices

Abstract

We study the photonic spectrum of a one-dimensional optical lattice possessing a double primitive cell, when the atoms are well localized at the lattice minima. While a one-dimensional lattice with a simple Wigner-Seitz cell always possesses a photonic bandgap at the atomic resonance, in this configuration the photonic transmission spectrum may exhibit none, double or multiple photonic bandgaps depending on the ratio between the interparticle distance $\varrho$ inside the cell and the cell size $a$. The transmission spectra of a weak incident probe are evaluated when the atoms are trapped in free space and inside an optical resonator for realistic experimental parameters.

10 pages, 10 figures, to appear in PRA

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• Direct Observation of Second Order Atom Tunnelling
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• Trapping of Ultracold Atoms in a Hollow-core Photonic Crystal Fiber
• Quantum Many-Body Dynamics of Coupled Double-Well Superlattices
• Non-linear optics with two trapped atoms
• Quantum Theory of a Resonant Photonic Crystal
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Cited by in corpus (7)

• Large Bragg Reflection from One-Dimensional Chains of Trapped Atoms Near a Nanoscale Waveguide
• Photonic Band Gaps in One-Dimensionally Ordered Cold Atomic Vapors
• Light scattering by ultracold atoms in an optical lattice
• Field-induced decay of quantum vacuum: visualizing pair production in a classical photonic system
• Quantum light by atomic arrays in optical resonators
• Wigner function evolution in self-Kerr Medium derived by Entangled state representation
• Photon Wave-packet Manipulation via Dynamic Electromagnetically Induced Transparency in Multilayer Structures