Excitons and cavity polaritons for ultracold atoms in an optical lattice

Abstract

We study the resonant electronic excitation dynamics for ultracold atoms trapped in a deep optical lattice prepared in a Mott insulator state. Excitons in these artificial crystals are similar to Frenkel excitons in Noble atom or molecular crystals. They appear when the atomic excited state line width is smaller than the exciton band width generated by dipole-dipole coupling. When the atoms are placed within a cavity the electronic excitations and the quantized cavity mode get coupled. In the collective strong coupling regime excitations form two branches of cavity polaritons with Rabi splitting larger than the atomic and the cavity line width. To demonstrate their properties we calculate the transmission, reflection, and absorption spectra for an incident weak probe field, which show resonances at the polariton frequencies.

9 pages, 9 figures

References in corpus (2)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Coherent interaction of laser pulses in a resonant optically dense extended medium under the regime of strong field-matter coupling

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• Quantum Phases of Ultracold Bosonic Atoms in two Bands of an Optical-Lattice coupled by a Cavity Field
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• Coupling of Electronic and Motional Dynamics in a Cold Atom Optical Lattice
• Polarization-Mixing in Optical Lattices with Uniaxial Anisotropy
• Coupling of polaritons to vibrational modes of ultracold atoms in an optical lattice
• Entangled Photons and Phonons via Inter-Modal Brillouin Scattering
• Few-Photon Fluorescence from Ultracold Bosons in an Optical Cavity
• Dark Bogolon-Excitons in a Linear Atomic Super-Lattice