The pink shaded area represents the TE bandgap. The dielectric band edge is indicated as ν BE. The dotted lines mark the frequencies of the Cs D 1 ( ν D 1 = 335.1 THz) and D 2 ( ν D 2 = 351.7 THz) transitions. The red curves show the attenuation coefficient κ x of the field for frequencies in the bandgap (upper axis) and are calculated by means of an analytical model ( SI Text). The black curves represent the Bloch wavevector k x (lower axis). ( C) Calculated band structure of the fundamental TE (solid) and TM (translucent) modes using an eigenmode solver ( 38) and the measured SEM dimensions, which are modified within their uncertainty to match the measured bands.
The lattice constant is a = 370 nm, and thickness is 185 nm. The suspended SiN device (gray) consists of 150 cells and 30 tapering cells on each side. ( B) SEM images of portions of the tapering and PCW sections. The decay rate for a single atom into the PCW is Γ 1 D (red arrows), and the decay rate into all other modes is Γ ′ (wavy red arrow).
The three green spheres represent trapped atoms that interact radiatively through the fundamental TE GM, polarized mainly along y. The orange cylinder represents the confinement of the atoms, which is Δ x A ≃ ± 6 μm along the axis of the device and Δ y A ≃ Δ z A ≃ ± 30 nm in the transverse directions ( SI Text). ( A) Atoms are trapped above the PCW in an optical dipole trap formed by the reflection of a near-normal incidence external beam ( 21). Fueled by such perspectives, there have been recent experimental observations with atoms ( 21, 32, 33) and quantum dots ( 34, 35) interacting through the GMs of PCWs, albeit in frequency regions outside the bandgap, where GMs are propagating fields.įig. Many-body physics with large spin exchange energies and low dissipation can thereby be realized in a generalization of cavity quantum electrodynamics (CQED) arrays ( 30, 31). The spatial range of atom–atom interactions is tunable for 1D and 2D PCWs and set by the size of the photonic component of the bound state ( 28, 29). This phenomenon has attracted new interest recently as a means to realize dispersive interactions between atoms without dissipative decay into GMs. However, an evanescent wave surrounding the atoms can still form, resulting in the formation of atom–photon-bound states ( 26, 27). In particular, when an atomic transition frequency is situated within a bandgap of a PCW, an atom can no longer emit propagating waves into GMs of the structure. 22– 25 but has yet to be experimentally explored. It does not store any personal data.A quite different paradigm for atom–light interactions in photonic crystals was proposed in the works in refs. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. The cookie is used to store the user consent for the cookies in the category "Performance". This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Other. The cookies is used to store the user consent for the cookies in the category "Necessary". The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". The cookie is used to store the user consent for the cookies in the category "Analytics". These cookies ensure basic functionalities and security features of the website, anonymously.
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