We all know of magnets, they are stones that can attract or repulse each other. They have been object of fascinations for centuries, and are highly useful in various parts of our life and industry. Perhaps the nearest magnets we can get hold of are the magnets we put on our fridge's door. Who might have guessed that there's so much more than simply being a fridge magnet. Like any other material, magnetic materials are composed of molecules / atoms that each possesses a magnetic property called spin. Turns out that certain types of magnetic materials, when put under the right condition, can exhibit a phenomenon called spin waves or magnons. Essentially, when an electromagnetic radiation is sent into such system, the spins react to this disturbance, and because of the sizeable interactions between neighbouring spins, this disturbance is propagated across the whole magnetic material, forming so called spin waves.
The fascinating property of spin waves don't just stop there, as a matter of fact, it has one of the most interesting dispersive properties with frequencies extending from GHz to THz, it is geometry- and bias-field dependent (bulk, films). This means that one can also think of a variety of applications for spin waves. As a matter of fact, it was one of the leading candidates to implement classical computer back in the 60s, although the industry eventually chose Silicon as the way to go. Recently, magnon-based computing has been resurfaced as one of the candidates to implement beyond CMOS computing technology.
In these works, we are interested in the interface between such microwave magnonic systems and superconducting circuit. In particular interest is the use of planar architecture in both the magnetic and the photonic counterparts. Basically, can we bring some of the interesting magnon-based applications in the microwave regime for the superconducting circuit system? Another possible path would be ask if we can use the quantum measurement toolbox that has been developed for superconducting circuit platform to probe the physics of magnons at the quantum level.
The works performed in this field formed the bulk of my DPhil thesis in the group of Alexy Karenowska at the University of Oxford.
Strong coupling of magnons in a bulk magnetic insulator to microwave photons in a planar circuit architecture, in the single photon limit
Link to paper: https://arxiv.org/abs/1610.09963
Phenomenon of strong coupling in the context of circuit- or cavity- QED is the idea that two systems that are compatible but not necessarily the same are able to exchange excitations or energy faster than the rate at which the energy leak out to other channels/environment. It has led to a huge amount of interesting works spanning different fields for the last few decades. While it is not necessarily a quantum-mechanical phenomena, it is of special importance for the circuit- and cavity-QED community as demonstrating strong coupling between two quantum systems opens up a way to, for instance, perform coherent control of a quantum system via the other system. While it is not a sufficient condition, for many, this is usually one of the first goals when trying to demonstrate the feasibility of hybridizing two very different systems.
Prior to this paper, most of the works in demonstrating strong magnon-photon coupling have been performed with a YIG sphere inside a 3D cavity. The reason why this is preferable especially in the context of demonstrating the so-called quantum magnonics regime, where the magnonic and the photonic counterparts are able to exchange a quantum excitation, is because it is possible to separate the region with high magnetic field (needed to excite a magnon) with the region of high electric field (needed to excite the superconducting qubit). The separation is crucial as standard superconducting qubit that is made of Aluminium structure can only remain superconducting up to a very low magnetic field threshold and only under certain field orientation.
In the spirit of our pursuit for anything related to the planar architecture, we were interested in putting both the superconducting circuit structure and the magnonic systems in a region with high magnetic field. This is a very challenging experiment as superconductivity is easily destroyed by the presence of magnetic field. In this work, we successfully demonstrated the use of a resonator in a planar architecture made out of Niobium film strongly coupled to a YIG sphere under the presence of a sizeable in-plane magnetic field (~100mT). We also demonstrated that the highly non uniform field of the resonator is able to excite higher order magnetostatic modes of the YIG sphere, a feat which is not easily achieved in the context of a 3D cavity. This work also opens up the possibility to demonstrate the direct coupling between a planar superconducting qubit structure to various geometries of YIG system.
Measurement of a magnonic bandgap in an artificial magnetic crystal at milliKelvin temperatures
Link to paper: https://arxiv.org/abs/1711.00958
One of the basic building blocks of the computing systems we can find all around us today is a transistor, typically made out of Silicon. Silicon has the so-called energy bandgaps - electrons with energy in this range are unable to propagate in pure Silicon crystal. The concept of bandgap soon found itself re-discovered in different contexts, for instance in photonics. The idea is that excitations in a periodic structure are coherently scattered by the periodic potential of the structure. These scatterings interfere with each other, and become prominent when the energy of the excitation lies within the bandgaps. Physicists often called them artificial crystal structures in reference to the crystalline structure in which this effect was first discovered.
It turns out that it is possible to create artificial crystal structure for magnons whose bandgaps are in the microwave regime. It is called the magnonic crystal. Due to the highly tunable dispersion relation of magnons, it is also possible to shift the bandgap in frequency and to switch it on or off on demand. For instance, the periodicity can be created by periodically corrugating the magnetic film thickness, width, saturation magnetisation, or essentially any physical parameter that can influence the dispersion relation. In addition to this, the position of the bandgap can be shifted across a wide range of frequency in real time by tuning the magnetic field. It should be mentioned that such ability is harder to implement in the case of a photonic crystal.
Such device can be a useful addition to the control and measurement toolbox of microwave quantum circuits at millikelvin temperatures. This motivated us to pursue this line of research, by performing the first measurement of such magnonic crystal at such temperature environment in order to investigate any possible problem that might arise. Through systematic investigations, we were finally able to measure the magnonic bandgap. However, our measurements immediately revealed an insight into an issue that can prevent such device from being practical at such low temperature environment. This became the subject of investigation for the next paper.
Link to paper: https://arxiv.org/abs/1903.02527
If magnon-based quantum technologies at millikelvin temperatures are to be useful and practical, it is necessary that the medium in which the magnons are excited possess the lowest damping possible. This is even more important in the context of quantum technologies as a quantum state is prone to dissipation, and maintaining the lowest dissipation is therefore in our utmost interest. Yttrium Iron Garnet (YIG) is the usually the go-to material to study magnon dynamics and prototyping devices, this is due to YIG possessing by far the lowest magnon damping among all materials.
In our prior works, we noticed the increased magnon damping in YIG films at millikelvin temperatures. In this work, we performed systematic studies of magnon damping in YIG films at millikelvin temperatures. The studies revealed the presence of two additional damping channels that are present in YIG films at millikelvin temperatures. The first one is due to the two-level-system (TLS) impurities that are ubiquitous among other solid state systems at low temperatures, including the superconducting circuit system. The TLS-related damping has also been observed in bulk YIG system. The second source is due to the substrate on which high quality YIG films are grown, which is Gadolinium Gallium Garnet (GGG). In this work we have also shown that by removing the substrate, it is possible to reduce the damping in YIG down to be much lower than the one at room temperature, and comparable to what is observed in bulk YIGs. The results and insights in this work are hoped to provide direction towards getting high quality magnonic quantum technologies based on YIG films.