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Millimeter-Wave Resonator and Associated Methods

David Schuster, Aziza Suleymanzade, Jonathan Simon, Alexander Anferov

Published Oct 28, 2021• 0 citations
Publisher

Abstract

A millimeter-wave resonator is produced by drilling a plurality of holes into a piece of metal. Each hole forms an evanescent tube having a lowest cutoff frequency. The holes spatially intersect to form a seamless three-dimensional cavity whose fundamental cavity mode has a resonant frequency that is less than the cutoff frequencies of all the evanescent tubes. Below cutoff, the fundamental cavity mode does not couple to the waveguide modes, and therefore has a high internal Q. Millimeter waves can be coupled into any of the tubes to excite an evanescent mode that couples to the fundamental cavity mode. The tubes also provide spatial and optical access for transporting atoms into the cavity, where they can be trapped while spatially overlapping the fundamental cavity mode. The piece of metal may be superconducting, allowing the resonator to be used in a cryogenic environment for quantum computing and information processing.

DOI
10.6082/5hge4-2cv90

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A millimeter-wave resonator is produced by drilling a plurality of holes into a piece of metal. Each hole forms an evanescent tube having a lowest cutoff frequency. The holes spatially intersect to form a seamless three-dimensional cavity whose fundamental cavity mode has a resonant frequency that is less than the cutoff frequencies of all the evanescent tubes. Below cutoff, the fundamental cavity mode does not couple to the waveguide modes, and therefore has a high internal Q. Millimeter waves can be coupled into any of the tubes to excite an evanescent mode that couples to the fundamental cavity mode. The tubes also provide spatial and optical access for transporting atoms into the cavity, where they can be trapped while spatially overlapping the fundamental cavity mode. The piece of metal may be superconducting, allowing the resonator to be used in a cryogenic environment for quantum computing and information processing.
A millimeter-wave resonator is produced by drilling a plurality of holes into a piece of metal. Each hole forms an evanescent tube having a lowest cutoff frequency. The holes spatially intersect to form a seamless three-dimensional cavity whose fundamental cavity mode has a resonant frequency that is less than the cutoff frequencies of all the evanescent tubes. Below cutoff, the fundamental cavity mode does not couple to the waveguide modes, and therefore has a high internal Q. Millimeter waves can be coupled into any of the tubes to excite an evanescent mode that couples to the fundamental cavity mode. The tubes also provide spatial and optical access for transporting atoms into the cavity, where they can be trapped while spatially overlapping the fundamental cavity mode. The piece of metal may be superconducting, allowing the resonator to be used in a cryogenic environment for quantum computing and information processing.
Technologies for a long-lived 3D multimode microwave cavity are disclosed. In the illustrative embodiment, a series of overlapping holes are drilled into a monolithic block of aluminum forming a cavity. The dimensions of the cavity formed by the overlapping holes can be made long by drilling a long series of holes in a row and can be made high by drilling holes a certain depth into the cavity. If two dimensions of the cavity are bigger than the diameter of the holes used to create the cavity, then the cavity can support electromagnetic waves that cannot propagate through the holes, leading to a long lifetime in the cavity. A superconducting qubit or other non-linear element can be inserted into the cavity, which can controllably interact with each of several modes of the cavity. In this way, the modes of the cavity can act as components in a quantum memory.
Technologies for a long-lived 3D multimode microwave cavity are disclosed. In the illustrative embodiment, a series of overlapping holes are drilled into a monolithic block of aluminum forming a cavity. The dimensions of the cavity formed by the overlapping holes can be made long by drilling a long series of holes in a row and can be made high by drilling holes a certain depth into the cavity. if two dimensions of the cavity are bigger than the diameter of the holes used to create the cavity, then the cavity can support electromagnetic waves that cannot propagate through the holes, leading to a long lifetime in the cavity. A superconducting qubit or other non-linear element can be inserted into the cavity, which can controllably interact with each of several modes of the cavity. In this way, the modes of the cavity can act as components in a quantum memory.
The millimeter wave (mm-wave) frequency band provides exciting prospects for quantum science and devices since many high-fidelity quantum emitters, including Rydberg atoms, molecules, and silicon vacancies, exhibit resonances near 100 GHz. High-Q resonators at these frequencies would give access to strong interactions between emitters and single photons, leading to rich and unexplored quantum phenomena at temperatures above 1 K. We report a 3D mm-wave cavity with a measured single-photon internal quality factor of 3×107 and mode volume of 0.14×λ3 at 98.2 GHz, sufficient to reach strong coupling in a Rydberg cavity quantum electrodynamics system. An in situ piezotunability of 18 MHz facilitates coupling to specific atomic transitions. Our unique, seamless, and optically accessible resonator design is enabled by the realization that intersections of 3D waveguides support tightly confined bound states below the waveguide cutoff frequency. Harnessing the features of our cavity design, we realize a hybrid mm-wave and optical cavity, designed for interconversion and entanglement of mm-wave and optical photons using Rydberg atoms.
For many contemporary physics experiments, the use of microwave and optical resonators has become a powerful tool for enhancement in detection sensitivities, nonlinear interactions, and quantum dynamics. Most often, the term cavity is used to describe such electromagnetic resonators. This term has been taken over from microwave technology, where resonators really look like closed cavities, whereas optical resonators traditionally have an open kind of setup. That difference in geometry is related to the fact that optical resonators are usually very large compared with the optical wavelength, whereas microwave cavities are often not much longer than a wavelength. As discussed in the course of this book, microwave and optical cavities allow one to extend the interaction length between matter and field, to build up the optical power, to impose a well-defined mode structure on the electromagnetic field, to implement extreme nonlinear optics, and to study manifestly quantum mechanical behavior associated with the modified vacuum structure and/or the large field associated with a single photon confined to a small volume [100].