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Superconducting radio frequency cavities for parametric amplification and optomechanics

Alessandro R. Castelli

Published Jan 1, 2018• 0 citations
OpenAlex

Abstract

Superconducting radio frequency (SRF) cavities present a unique opportunity in their potential for extremely large quality factors (Q) which allow for low-loss microwave systems which extend photon lifetimes. They have subsequently been used and improved upon as individual cells of particle accelerators where large accelerating voltages are required. More recently, they have been used as double SRF cavity systems for coupling electromagnetic fields via qubits inserted into the cavity bodies. Capitalizing on this Q enhancement, we propose an SRF cavity system for parametric amplification of these microwave fields from vacuum. This triple SRF cavity consists of a pump cavity with a silicon nitride (SiN) membrane acting as one end-wall and two signal/idler cavities that are separated by an iris plane. Parametric amplification occurs when some parameter of the system varies sinusoidally in time and this subsequently drives the system into oscillation. Here, we vary the length of the cavities by driving the SiN membrane end-wall into motion using the radiation pressure from the pump cavity. Sufficient energy transfer between cavities will allow amplification and subsequent oscillation of the vacuum fields. We will introduce and explain theoretical background, SRF cavity fabrication and testing, SiN membrane mechanics, and lastly double cavity mechanics. We will identify which facets of the project seem feasible at this time.

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Superconducting radio frequency (SRF) cavities present a unique opportunity in their potential for extremely large quality factors (Q) which allow for low-loss microwave systems which extend photon lifetimes. They have subsequently been used and improved upon as individual cells of particle accelerators where large accelerating voltages are required. More recently, they have been used as double SRF cavity systems for coupling electromagnetic fields via qubits inserted into the cavity bodies. Capitalizing on this Q enhancement, we propose an SRF cavity system for parametric amplification of these microwave fields from vacuum. This triple SRF cavity consists of a pump cavity with a silicon nitride (SiN) membrane acting as one end-wall and two signal/idler cavities that are separated by an iris plane. Parametric amplification occurs when some parameter of the system varies sinusoidally in time and this subsequently drives the system into oscillation. Here, we vary the length of the cavities by driving the SiN membrane end-wall into motion using the radiation pressure from the pump cavity. Sufficient energy transfer between cavities will allow amplification and subsequent oscillation of the vacuum fields. We will introduce and explain theoretical background, SRF cavity fabrication and testing, SiN membrane mechanics, and lastly double cavity mechanics. We will identify which facets of the project seem feasible at this time.
Three-dimensional radio frequency cavities demonstrate excellent frequency selectivity and, as such, are known for their use in RF filters. These cavities have potential applications in quantum information science, precision displacement metrology, and quantum electrodynamics. Additionally, coupled cavities that form a spectral doublet allow for parametric gain when incorporating mechanical elements. Here, we investigate normal-mode splitting in a pair of quarter-wave stub microwave cavities at room temperature and cryogenic environments in order to identify coupling mechanics for normal and superconducting systems. Superconducting quarter-wave stub cavities with a resonant frequency of 10 GHz are made from reactor-grade niobium and exhibit Q ranging from 105 to 109. We varied cavity-to-cavity coupling to observe several normal-mode splittings of increasing peak separation until we observed a mode crossing. The minimum observed peak separation was 7 MHz for room temperature tests and 200 kHz for cryogenic tests. We also report on values of an intrinsic quality factor for the tuning cavity as a dielectric rod is translated along its symmetry axis. The realization of coupled superconducting radio frequency (SRF) cavities of this type is a necessary step toward implementation of parametric SRF-mechanical gain.
Superconducting radio-frequency (SRF) cavities coupled to transmon circuits have proven to be a promising platform for building high-coherence quantum information processors. An essential aspect of this realization involves designing high quality factor three-dimensional superconducting cavities to extend the lifetime of quantum systems. To increase the computational capability of this architecture, we are exploring a multimode approach. This paper presents the design optimization process of a multi-cell SRF cavity to perform quantum computation based on an existing design developed in the scope of particle accelerator technology. We perform parametric electromagnetic simulations to evaluate and optimize the design. In particular, we focus on the analysis of the interaction between a nonlinear superconducting circuit known as the transmon and the cavity. This parametric design optimization is structured to serve as a blueprint for future studies on similar systems.
Superconducting radio-frequency (SRF) cavities coupled to transmon circuits have proven to be a promising platform for building high-coherence quantum information processors. An essential aspect of this realization involves designing high quality factor three-dimensional superconducting cavities to extend the lifetime of quantum systems. To increase the computational capability of this architecture, we are exploring a multi-mode approach. This paper presents the design optimization process of a multi-cell SRF cavity to perform quantum computation based on an existing design developed in the scope of particle accelerator technology. We perform parametric electromagnetic simulations to evaluate and optimize the design. In particular, we focus on the analysis of the interaction between a nonlinear superconducting circuit known as the transmon and the cavity. This parametric design optimization is structured to serve as a blueprint for future studies on similar systems.
Parametric devices have become a stepping stone in our development of modern technology and new scientific discoveries. They play a role in making astronomical observations with the use of parametric amplifiers as high-sensitivity low-noise first stage amplifiers, or in modern communications as amplifiers of optical frequency light. In addition, parametric devices have been successfully implemented in optomechanics to ''cool'' or ''heat'' mechanical motion. In fact, with such systems it has been possible to ``cool'' the motion of a mirror down to its quantum ground state, which is the lowest state of motion obtainable due to the quantum limit. The most common systems of the time consist of optical systems using optical cavities and fiber optics, or micro systems using planar superconducting strip resonators. In this dissertation parametric devices with cm-scaled RF cavities and oscillators are considered. The approach is to show that the same underlying effects that exist in optical systems also exist in with microwave cavities, and with the development of high-Q superconducting RF cavities feasible threshold for parametric effects are obtainable.
Superconducting radio frequency (SRF) cavities offer an excellent platform for storing and processing quantum information due to their exceptionally long lifetimes and large accessible Hilbert spaces. A common strategy to manipulate the quantum states is to use a nonlinear element like a transmon. Nevertheless, constructing a 3D SRF architecture with sustained cavity lifetimes presents several challenges. In this talk, we present our successful integration of transmons with single-cell Nb SRF cavities, enabling the preparation of several non-classical states. Preliminary results reveal the potential of this platform to build a qudit-based quantum computer, departing from traditional qubit-based architectures. We discuss strategies to enhance coherence times, develop high-fidelity gate schemes, and expand the system for constructing a multi-qudit quantum processor. Furthermore, we explore how this architecture can bolster dark matter detection efficiency through multi-photon quantum state preparation.
Superconducting radio frequency (SRF) cavities provide an excellent platform for storing quantum information as quantum d-level systems (qudits) due to their exceptionally long lifetimes and large accessible Hilbert spaces. A common strategy to manipulate the states is to use a nonlinear element like a transmon. There are, however, several challenges to building a 3D SRF architecture while maintaining a long cavity lifetime. We demonstrate our successful integration of transmons with single-cell Nb SRF cavities and the ability to prepare several non-classical states. Finally, we discuss our strategies to improve the coherence times, gate schemes, and extend the system for building a multi-qudit quantum processor.