Using a high-fidelity numerical model to infer the shape of a few-hole Ge quantum dot
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arXiv
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| Format: | Preprint |
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2024
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| author | Brickson, Mitchell Jacobson, N. Tobias Miller, Andrew J. Maurer, Leon N. Lu, Tzu-Ming Luhman, Dwight R. Baczewski, Andrew D. |
| author_facet | Brickson, Mitchell Jacobson, N. Tobias Miller, Andrew J. Maurer, Leon N. Lu, Tzu-Ming Luhman, Dwight R. Baczewski, Andrew D. |
| contents | The magnetic properties of hole quantum dots in Ge are sensitive to their shape due to the interplay between strong spin-orbit coupling and confinement. We show that the split-off band, surrounding SiGe layers, and hole-hole interactions have a strong influence on calculations of the effective $g$ factor of a lithographic quantum dot in a Ge/SiGe heterostructure. Comparing predictions from a model including these effects to raw magnetospectroscopy data, we apply maximum-likelihood estimation to infer the shape of a quantum dot with up to four holes. We expect that methods like this will be useful in assessing qubit-to-qubit variability critical to further scaling quantum computing technologies based on spins in semiconductors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14422 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Using a high-fidelity numerical model to infer the shape of a few-hole Ge quantum dot Brickson, Mitchell Jacobson, N. Tobias Miller, Andrew J. Maurer, Leon N. Lu, Tzu-Ming Luhman, Dwight R. Baczewski, Andrew D. Mesoscale and Nanoscale Physics Quantum Physics The magnetic properties of hole quantum dots in Ge are sensitive to their shape due to the interplay between strong spin-orbit coupling and confinement. We show that the split-off band, surrounding SiGe layers, and hole-hole interactions have a strong influence on calculations of the effective $g$ factor of a lithographic quantum dot in a Ge/SiGe heterostructure. Comparing predictions from a model including these effects to raw magnetospectroscopy data, we apply maximum-likelihood estimation to infer the shape of a quantum dot with up to four holes. We expect that methods like this will be useful in assessing qubit-to-qubit variability critical to further scaling quantum computing technologies based on spins in semiconductors. |
| title | Using a high-fidelity numerical model to infer the shape of a few-hole Ge quantum dot |
| topic | Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2408.14422 |