Optical and Quantum Sensing and Precision Metrology
Photonics at radio frequency: Quantum sensing of radio-frequency photons and vibrations
Gary Alexander Steele, Mario F. Gely, Ines Corveira Rodrigues, Daniel Bothner, Marios Kounalakis, Christian Dickel, Jacob Dalle, Rémy Vatré, Brian Baker, Mark Jenkins
In this talk, I will give an overview of work in our group connected to quantum sensing of radio frequency photons and vibrations. In the first part of the talk, I will describe our work extending circuit QED to radio frequencies using a qubit to observe the quantisation of radio-frequency eletromagnetic fields ("radio frequency photonics"), along with cooling of the RF mode and stabilisation of non-classical quantum states of RF light. In the second part of talk, I will introduce recent work in which we have been using microwave "squid cavities" for sensing vibrations and quantised currents at radio frequencies.
In this talk, I will give an overview of work in our group connected to quantum sensing of radio frequency photons and vibrations. In the first part of the talk, I will describe our work extending circuit QED to radio frequencies using a qubit to observe the quantisation of radio-frequency eletromagnetic fields ("radio frequency photonics"), along with cooling of the RF mode and stabilisation of non-classical quantum states of RF light. In the second part of talk, I will introduce recent work in which we have been using microwave "squid cavities" for sensing vibrations and quantised currents at radio frequencies.
In the last decade, the field of Quantum Optics has been enriched with a completely new platform: superconducting quantum circuits, also known as circuit-QED. This platform builds on the original designs of superconducting qubits, that is few-level systems made of superconducting islands and Josephson junctions, but adds to it a new ingredient, microwave photons. In this talk I will review circuit-QED with a focus on two complementary lines of research: ultrastrong light-matter coupling and strongly correlated propagating photons. The first topic deals with novel designs of superconducting qubits, engineering their coupling to the microwave radiation field to reach Rabi frequencies that approach the qubit and photon frequencies. In this regime, known as ”ultrastrong coupling”, the rotating wave approximation from Quantum Optics is no longer valid, the vacuum may spontaneously polarize, producing photons that get bound to the qubit, and novel physics is expected to emerge. I will review recent experiments on this topic, together with various theoretical proposals to tame this ultrastrong coupling. The second topic revolves around the notion of ”propagating” photons in these circuits. Most experiments in circuit-QED so far adopted the typical configuration of artificial atoms (qubits) interacting with artificial cavities (LC resonators). This proved useful in order to reach the strong coupling regime, demonstrating Rabi oscillations and developing a variety of protocols for quantum information, tomograhy, entanglement, etc. However, recent experiments have shown that it is possible to also work with propagating photons, replacing the LC resonators with open transmission lines, and studying the scattering properties of those artificial atoms. In this context we have worked on developing new technology to detect and control these photons, engineering single-photon detectors, quantum metamaterials and photonic crystals, or even new nonlinear media based on coupled cavities.
Detecting weak radio-frequency electromagnetic fields plays a crucial role in a wide range of fields, from radio astronomy to nuclear magnetic resonance imaging. In quantum optics, the ultimate limit of a weak field is a single photon. Detecting and manipulating single photons at megahertz frequencies presents a challenge because, even at cryogenic temperatures, thermal fluctuations are appreciable. Using a gigahertz superconducting qubit, we observed the quantization of a megahertz radio-frequency resonator, cooled it to the ground state, and stabilized Fock states. Releasing the resonator from our control, we observed its rethermalization with nanosecond resolution. Extending circuit quantum electrodynamics to the megahertz regime, we have enabled the exploration of thermodynamics at the quantum scale and allowed interfacing quantum circuits with megahertz systems such as spin systems or macroscopic mechanical oscillators.
Quantum Optics
It becomes increasingly difficult to detect long-wavelength single photons because of thermal fluctuations in the background. This can pose problems for single-photon detection for fields such as astronomy and nuclear magnetic resonance imaging. Gely et al. used a superconducting qubit, initially developed for circuit quantum electrodynamics (cQED) and quantum information processing for microwaves, to directly observe the quantization of radio-frequency electromagnetic fields stored in a photonic microresonator. They were then able to manipulate the quantum state of the radio-frequency field, forming one- and two-photon Fock states within the microresonator, and analyze how the system interacts dynamically with its environment. The cQED approach could be used for fundamental studies in quantum thermodynamics and also find practical application in imaging.
Science , this issue p. [1072][1]
[1]: /lookup/doi/10.1126/science.aaw3101
In this PhD thesis, we will present the theoretical and experimental work that led to the realization of a radio-frequency circuit quantum electrodynamics system (RFcQED). In chapter 2, we provide a detailed derivation of the Hamiltonian of circuit QED formulated in the context of the Rabi model, and extract expressions for the cross-Kerr interaction. The resulting requirements for the coupling rate in RFcQED are discussed, one of them being the need to dramatically increase the coupling rate compared to typical circuit QED device. In chapter 3 we cover two experimental approaches to increasing the coupling in a circuit QED system, one making use of a high impedance resonator, the second utilizing a large coupling capacitor. In chapter 4, we combine these two approaches to implement RFcQED. Through strong dispersive coupling, we could measure individual photons in a megahertz resonator, demonstrate quantum control by cooling the resonator to the ground state or preparing Fock states, and finally observe with nanosecond resolution the re-thermalization of these states. In chapter 5 we present QuCAT or Quantum Circuit Analyzer Tool in Python, a software package that can be used for the design of circuit QED systems such as the one presented in this thesis. In chapter 6 we discuss how certain interplays between general relativity and quantum mechanics cannot be described using our current laws of physics. In particular, we show how radio-frequency mechanical oscillators are perfect candidates to perform experiments in this regime. In chapter 7 we present the prospects for coupling such mechanical oscillator to weakly anharmonic superconducting circuits such as the transmon qubit or RFcQED systems.
Electromagnetic warfare (EW) refers to military operations exploiting the electromagnetic spectrum, and includes transmitting and receiving information encoded in electromagnetic fields. In order to interpret such information, effective sensing systems are of great importance. For EW applications, the radio frequency (RF) spectrum is specifically relevant. Traditional RF receivers and transmitters rely on antennas and associated electronic components, whose performance is fundamentally limited by constraints imposed by the laws of classical physics. Motivated by the fundamental limitations of classical technologies, quantum technology has emerged as a strategic research area in many countries, with applications in computing, communication and sensing, and could therefore be useful in EW applications in the future. This thesis aims to investigate and compare two quantum sensing approaches: Rydberg atombased electric field sensors and nitrogen-vacancy center magnetometers. The goal is to evaluate their sensing principles, fundamental limitations and potential competitiveness compared to classical RF receivers. The work combines a literature review of published research in order to understand the underlying quantum mechanical principles enabling electromagnetic field sensing, with analytical comparisons of sensitivity and detection range. Classical receiver performance was modeled using thermal-noise-limited sensitivity, while quantum sensor performance was estimated using reported sensitivities from literature. Detection range calculations were performed under simplified assumptions to illustrate the differences between conventional and atom-based sensing approaches. The results show that current quantum sensors do not yet surpass state-of-the-art classical receivers in raw sensitivity. However, they offer several unique characteristics, including intrinsic calibration, wide frequency tunability and the possibility of direct field-based measurements without conventional impedance matching. The comparison further highlights the fundamentally different noise mechanisms governing classical and quantum sensing systems. Overall, quantum sensing represents a promising emerging technology for electromagnetic field detection. Although significant technical challenges remain, continued advances may enable future quantum sensors to complement or partially replace conventional RF sensing technologies.
Rydberg-atom-based electrometry provides a quantum, SI-traceable approach to radio-frequency (RF) and microwave electric-field sensing by linking optical spectra to absolute field strength through electromagnetically induced trans parency. Over the past decade, rapid advances in excitation schemes, field-tuning methods, interferometric readout, and cavity-assisted coupling have significantly improved sensitivity, bandwidth, and tunability of Rydberg-based sensors. In parallel, progress in fiber-coupled modules, microfabricated vapor cells, and photonic integration is enabling compact and deployable receiver architectures. This review presents a comprehensive and metrology-oriented synthesis of the physical principles, system architectures, standardized performance metrics, and uncertainty considerations relevant to Rydberg-atom RF sensing. By con solidating diverse developments into a unified performance and evaluation framework, this work provides a critical reference for the design, comparison, and advancement of next-generation quantum RF sensors and standards.