Superradiant and Dark Exciton States in an Optical Lattice within a Cavity

Abstract

We study ultracold atoms in a finite size one-dimensional optical lattice prepared in the Mott insulator phase and commonly coupled to a single cavity mode. Due to resonance dipole-dipole interactions among the atoms, electronic excitations delocalize and form {\it excitons}. These exciton modes are divided into two groups: antisymmetric modes which decouple from the cavity mode forming {\it dark states}, and symmetric modes significantly coupled to the cavity mode called {\it bright states}. In typical setups the lowest and most symmetric exciton is coupled to the cavity photons much stronger than the other bright states and dominates the optical properties response of the atoms ({\it superradiant state}). In the strong coupling regime this superradiant state is coherently mixed with the cavity photon to form a doublet of polariton states with the Rabi splitting.

arXiv comment4 pages, 11 figures

References in corpus (18)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Long-distance quantum communication with atomic ensembles and linear optics
• Quantum state transfer and entanglement distribution among distant nodes in a quantum network
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Strong atom-field coupling for Bose-Einstein condensates in an optical cavity on a chip
• Cavity QED with a Bose-Einstein condensate
• Prospects for a mHz-linewidth laser
• Cavity-QED based on collective magnetic dipole coupling: spin ensembles as hybrid two-level systems
• Strong magnetic coupling of an ultracold gas to a superconducting waveguide cavity
• Interfacing Collective Atomic Excitations and Single Photons
• Controlling dipole-dipole frequency shifts in a lattice-based optical atomic clock
• Coherent dynamics of Bose-Einstein condensates in high-finesse optical cavities
• Light scattering from ultracold atoms in optical lattices as an optical probe of quantum statistics
• Excitons and cavity polaritons for ultracold atoms in an optical lattice
• Integrating cavity quantum electrodynamics and ultracold-atom chips with on-chip dielectric mirrors and temperature stabilization
• Bright and dark excitons in an atom--pair filled optical lattice within a cavity
• Twin stimulated amplification of light and matter waves in an atom-photon pair laser

Cited by in corpus (11)

• Optical interface created by laser-cooled atoms trapped in the evanescent field surrounding an optical nanofiber
• Generalized mean-field approach to simulate large dissipative spin ensembles with long range interactions
• Bose--Hubbard Models Coupled to Cavity Light Fields
• First-order coherence versus entanglement in a nano-mechanical cavity
• Hybrid Quantum System of a Nanofiber Mode Coupled to Two Chains of Optically Trapped Atoms
• Lifetime and Emission Characteristics of Electronic Excitations in 2D Optical Lattices
• Quantum Phases of Ultracold Bosonic Atoms in two Bands of an Optical-Lattice coupled by a Cavity Field
• Excitons and Cavity Polaritons for Optical Lattice Ultracold Atoms
• Collective Light Emission of a Finite Size Atomic Chain
• Optical Properties of Collective Excitations for Finite Chains of Trapped Atoms
• Dark Bogolon-Excitons in a Linear Atomic Super-Lattice