@article{95b594a7b6cb46acaf7a5fe8d923e83c,
title = "Experimental measurement of the quantum geometric tensor using coupled qubits in diamond",
abstract = "Geometry and topology are fundamental concepts, which underlie a wide range of fascinating physical phenomena such as topological states of matter and topological defects. In quantum mechanics, the geometry of quantum states is fully captured by the quantum geometric tensor. Using a qubit formed by an NV center in diamond, we perform the first experimental measurement of the complete quantum geometric tensor. Our approach builds on a strong connection between coherent Rabi oscillations upon parametric modulations and the quantum geometry of the underlying states. We then apply our method to a system of two interacting qubits, by exploiting the coupling between the NV center spin and a neighboring 13C nuclear spin. Our results establish coherent dynamical responses as a versatile probe for quantum geometry, and they pave the way for the detection of novel topological phenomena in solid state.",
keywords = "quantum control, quantum geometry, quantum information, quantum measurement, topological physics",
author = "Min Yu and Pengcheng Yang and Musang Gong and Qingyun Cao and Qiuyu Lu and Haibin Liu and Shaoliang Zhang and Plenio, {Martin B.} and Fedor Jelezko and Tomoki Ozawa and Nathan Goldman and Jianming Cai",
note = "Funding Information: This work was supported by the National Natural Science Foundation of China (11574103, 11690030, 11690032, 11874024). M.B.P. is supported by the EU projects HYPERDIAMOND and AsteriQs, the BMBF project NanoSpin and DiaPol and the ERC Synergy grant BioQ. F.J. is supported by DFG (FOR 1493, SPP 1923), VW Stiftung, BMBF, ERC, EU (AsteriQs), BW Stiftung, Ministry of Science and Arts, Center for Integrated Quantum Science and Technology (IQST). T.O. is supported by JSPS KAKENHI (JP18H05857), RIKEN Incentive Research Project, and the Interdisciplinary Theoretical andMathematical Sciences Program (iTHEMS) at RIKEN. N.G. is supported by the ERC Starting Grant TopoCold and the Fonds De La Recherche Scientifique (FRS-FNRS) (Belgium). This work was supported by the National Natural Science Foundation of China (11574103, 11690030, 11690032, 11874024). M.B.P. is supported by the EU projects HYPERDIAMOND and AsteriQs, the BMBF project NanoSpin and DiaPol and the ERC Synergy grant BioQ. F.J. is supported by DFG (FOR 1493, SPP 1923), VW Stiftung, BMBF, ERC, EU (AsteriQs), BW Stiftung, Ministry of Science and Arts, Center for Integrated Quantum Science and Technology (IQST). T.O. is supported by JSPS KAKENHI (JP18H05857), RIKEN Incentive Research Project, and the Interdisciplinary Theoretical andMathematical Sciences Program (iTHEMS) at RIKEN. N.G. is supported by the ERC Starting Grant TopoCold and the Fonds De La Recherche Scientifique (FRS-FNRS) (Belgium). Funding Information: This work was supported by the National Natural Science Foundation of China (11574103, 11690030, 11690032, 11874024). M.B.P. is supported by the EU projects HYPERDIAMOND and AsteriQs, the BMBF project NanoSpin and DiaPol and the ERC Synergy grant BioQ. F.J. is supported by DFG (FOR 1493, SPP 1923), VW Stiftung, BMBF, ERC, EU (AsteriQs), BW Stiftung, Ministry of Science and Arts, Center for Integrated Quantum Science and Technology (IQST). T.O. is supported by JSPS KAKENHI (JP18H05857), RIKEN Incentive Research Project, and the Interdisciplinary Theoretical and Mathematical Sciences Program (iTHEMS) at RIKEN. N.G. is supported by the ERC Starting Grant TopoCold and the Fonds De La Recherche Scientifique (FRS-FNRS) (Belgium). Publisher Copyright: {\textcopyright} 2020 The Author(s) 2019. Published by Oxford University Press on behalf of China Science Publishing & Media Ltd.",
year = "2020",
month = feb,
day = "1",
doi = "10.1093/nsr/nwz193",
language = "English",
volume = "7",
pages = "254--260",
journal = "National Science Review",
issn = "2095-5138",
publisher = "Oxford University Press",
number = "2",
}