Berry curvature dipole circuit quantum electrodynamics
Abstract
Quantum three-wave mixing is an important resource in superconducting quantum circuits. The traditional implementation uses Josephson junction arrays and is activated by magnetic flux. Here we introduce the Berry curvature dipole (BCD) quantum circuit element, which achieves quantum three-wave mixing without breaking time-reversal symmetry. This quantum three-wave mixing results from the BCD nonlinear Hall effect in noncentrosymmetric quantum materials taken to a dissipationless, quantum coherent few-photon regime. We show how nonlinear Hall materials can be integrated to superconducting microwave circuits to accomplish multiphoton vacuum Rabi splittings and dynamical stabilization of bosonic Schrödinger cat states. Such BCD circuit quantum electrodynamics are a concrete exemplar of a physical resource for quantum information processing enabled by nonlinear response in quantum materials.
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BibTeX
@misc{matsyshyn2026berry,
title = {{Berry curvature dipole circuit quantum electrodynamics}},
author = {Oles Matsyshyn and Valla Fatemi and Justin C. W. Song},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.39186},
eprint = {2610.39186},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.39186},
}
RIS
TY - UNPB
TI - Berry curvature dipole circuit quantum electrodynamics
AU - Oles Matsyshyn
AU - Valla Fatemi
AU - Justin C. W. Song
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.39186
UR - https://arxiv.org/abs/2610.39186
AB - Quantum three-wave mixing is an important resource in superconducting quantum circuits. The traditional implementation uses Josephson junction arrays and is activated by magnetic flux. Here we introduce the Berry curvature dipole (BCD) quantum circuit element, which achieves quantum three-wave mixing without breaking time-reversal symmetry. This quantum three-wave mixing results from the BCD nonlinear Hall effect in noncentrosymmetric quantum materials taken to a dissipationless, quantum coherent few-photon regime. We show how nonlinear Hall materials can be integrated to superconducting microwave circuits to accomplish multiphoton vacuum Rabi splittings and dynamical stabilization of bosonic Schrödinger cat states. Such BCD circuit quantum electrodynamics are a concrete exemplar of a physical resource for quantum information processing enabled by nonlinear response in quantum materials.
ER -