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.

arXiv comment9 pages, 9 figures

References in corpus (6)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• The cold atom Hubbard toolbox
• Cold atom dynamics in a quantum optical lattice potential
• Quantum phase transition in a multi-component Bose-Einstein condensate in optical lattices
• Coherent interaction of laser pulses in a resonant optically dense extended medium under the regime of strong field-matter coupling

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• Non-adiabatic control of quantum energy transfer in ordered and disordered arrays
• Coupling of Electronic and Motional Dynamics in a Cold Atom Optical Lattice
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• Collective Electronic Excitation Coupling between Planar Optical Lattices using Ewald's Method
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• Dark Bogolon-Excitons in a Linear Atomic Super-Lattice