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Bulletin of the American Physical Society

Coupling propagating acoustic waves to quantum circuits

M. Gustafsson, Paulo Ventura Santos, Göran Johansson, Per Delsing

Published Feb 29, 2012• 0 citations
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Engineering strong interactions between superconducting microwave circuits and acoustic modes in piezoelectric LiNbO3

Abel Hugot

Acoustic waves are versatile excitations that couple to many different physical systems. They interact with optical fields in optomechanics, with spin defects through strain, and with superconducting circuits via capacitive or piezoelectric mechanisms. This versatility has motivated their use in hybrid quantum systems for quantum transduction, qubit control, and precision sensing, among other applications. In this thesis, the focus is on the optimization of microwave-to-acoustic coupling between superconducting circuits and Lamb modes in suspend thin-film lithium niobate (LiNbO₃). We leverage the strong piezoelectricity of this material to engineer strong interactions.The first part of the work addresses linear transduction. IDTs require impedance matching to operate efficiently, but this generally imposes a trade-off between efficiency and bandwidth. An optimal design can be identified in theory but is difficult to reach with standard microwave engineering. Here, high-impedance SQUID arrays are employed as linear, tunable inductors to realize the necessary impedance transformation. This approach enables transducers that operate close to the efficiency-bandwidth limit imposed by the piezoelectric coupling strength of LiNbO₃. The design strategy is applied to different types of devices: standard bi-directional IDTs, unidirectional IDTs where acoustic mirrors recover backward-emitted waves, and single-mode IDTs where additional transverse confinement produces quasi-one-dimensional propagation. Among these, unidirectional IDTs achieve unprecedented coupling, with efficiency–bandwidth products of ≈440 MHz and peak efficiencies of 62%. By leveraging flux tunability of SQUIDs we get tunable couplers between microwave circuits and Lamb-wave resonators.The second part investigates the nonlinear regime, where transmon qubits are coupled to Lamb-wave resonators. Unlike the high-Q but weakly coupled resonators often used in the literature, LiNbO₃ offers strong piezoelectric interactions that enable access to very strong coupling even without extremely high quality factors.Overall, this thesis establishes efficient linear transducers and explores strong nonlinear interactions, advancing superconducting-acoustic interfaces based on LiNbO₃. These results extend the superconducting circuit toolbox with sensitive acoustic elements and open pathways toward hybrid applications such as microwave-optical transduction, acoustic spectroscopy, and fundamental experiments exploring the interplay of quantum mechanics and gravity.

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Engineering interactions between superconducting qubits and phononic nanostructures

Patricio Arrangoiz-Arriola, Amir H. Safavi‐Naeini

Nanomechanical systems can support highly coherent microwave-frequency excitations at cryogenic temperatures. However, generating sufficient coupling between these devices and superconducting quantum circuits is challenging due to the vastly different length scales of acoustic and electromagnetic excitations. Here we demonstrate a general method for calculating piezoelectric interactions between quantum circuits and arbitrary phononic nanostructures. We illustrate our technique by studying the coupling between a transmon qubit and bulk acoustic-wave, Lamb-wave, and phononic crystal resonators, and show that very large coupling rates are possible in all three cases. Our results suggest a route to phononic circuits and systems that are nonlinear at the single-phonon level.

arXiv:1607.00063•Physical Review A•Dec 30, 2016•34 citations
We present a cohesive framework for simulating seismic wave propagation utilizing quantum computing paradigms and their classical tensor network equivalents. We detail a quantum circuit-based formulation for the explicit finite-difference time-domain (FDTD) solution of the two-dimensional acoustic wave equation and map this quantum architecture onto a tensor train representation, namely for Matrix Product State (MPS). The MPS solver enables deterministic simulation of large-scale wavefield dynamics on classical high-performance computing systems. We demonstrate the MPS representation by computing 2D seismic wavefields on the Marmousi model. Our results indicate that the MPS representation is a viable direction for computing and scaling wavefield propagation.
Acoustic waves are versatile excitations that couple to many different physical systems. They interact with optical fields in optomechanics, with spin defects through strain, and with superconducting circuits via capacitive or piezoelectric mechanisms. This versatility has motivated their use in hybrid quantum systems for quantum transduction, qubit control, and precision sensing, among other applications. In this thesis, the focus is on the optimization of microwave-to-acoustic coupling between superconducting circuits and Lamb modes in suspend thin-film lithium niobate (LiNbO₃). We leverage the strong piezoelectricity of this material to engineer strong interactions.The first part of the work addresses linear transduction. IDTs require impedance matching to operate efficiently, but this generally imposes a trade-off between efficiency and bandwidth. An optimal design can be identified in theory but is difficult to reach with standard microwave engineering. Here, high-impedance SQUID arrays are employed as linear, tunable inductors to realize the necessary impedance transformation. This approach enables transducers that operate close to the efficiency-bandwidth limit imposed by the piezoelectric coupling strength of LiNbO₃. The design strategy is applied to different types of devices: standard bi-directional IDTs, unidirectional IDTs where acoustic mirrors recover backward-emitted waves, and single-mode IDTs where additional transverse confinement produces quasi-one-dimensional propagation. Among these, unidirectional IDTs achieve unprecedented coupling, with efficiency–bandwidth products of ≈440 MHz and peak efficiencies of 62%. By leveraging flux tunability of SQUIDs we get tunable couplers between microwave circuits and Lamb-wave resonators.The second part investigates the nonlinear regime, where transmon qubits are coupled to Lamb-wave resonators. Unlike the high-Q but weakly coupled resonators often used in the literature, LiNbO₃ offers strong piezoelectric interactions that enable access to very strong coupling even without extremely high quality factors.Overall, this thesis establishes efficient linear transducers and explores strong nonlinear interactions, advancing superconducting-acoustic interfaces based on LiNbO₃. These results extend the superconducting circuit toolbox with sensitive acoustic elements and open pathways toward hybrid applications such as microwave-optical transduction, acoustic spectroscopy, and fundamental experiments exploring the interplay of quantum mechanics and gravity.
Nanomechanical systems can support highly coherent microwave-frequency excitations at cryogenic temperatures. However, generating sufficient coupling between these devices and superconducting quantum circuits is challenging due to the vastly different length scales of acoustic and electromagnetic excitations. Here we demonstrate a general method for calculating piezoelectric interactions between quantum circuits and arbitrary phononic nanostructures. We illustrate our technique by studying the coupling between a transmon qubit and bulk acoustic-wave, Lamb-wave, and phononic crystal resonators, and show that very large coupling rates are possible in all three cases. Our results suggest a route to phononic circuits and systems that are nonlinear at the single-phonon level.