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Experimental measurement of the quantum geometric tensor using coupled qubits in diamond

National Science Review 2020年第2期7卷 254-260页

作者： Min Yu Pengcheng Yang Musang Gong Qingyun Cao Qiuyu Lu Haibin Liu Shaoliang Zhang Martin B.Plenio Fedor Jelezko Tomoki Ozawa Nathan Goldman Jianming Cai School of physics Huazhong University of Science and Technology International Joint Laboratory on Quantum Sensing and Quantum Metrology Huazhong University of Science and Technology Institut für Quantenoptik & IQST Albert-Einstein Allee 11Universit?t Ulm Institut für Theoretische Physik & IQST Albert-Einstein Allee 11Universit?t Ulm Interdisciplinary Theoretical and Mathematical Sciences Program(iTHEMS) 6. Center for Nonlinear Phenomena and Complex Systems Université Libre de Bruxelles

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 neighboring13C 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.

关键词： quantum geometry topological physics quantum measurement quantum control quantum information

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Exact solutions of non-Hermitian chains with asymmetric long-range hopping under specific boundary conditions

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Chinese physics B 2022年第1期31卷 81-86页

作者： Cui-Xian Guo Shu Chen Beijing National Laboratory for Condensed Matter physics Institute of PhysicsChinese Academy of SciencesBeijing 100190China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China Yangtze River Delta physics Research Center Liyang 213300China

We study the one-dimensional general non-Hermitian models with asymmetric long-range hopping and explore how to analytically solve the systems under some specific boundary *** the introduction of long-range hopping terms prevents us from finding analytical solutions for arbitrary boundary parameters,we identify the existence of exact solutions when the boundary parameters fulfill some constraint relations,which give the specific boundary *** analytical results show that the wave functions take simple forms and are independent of hopping range,while the eigenvalue spectra display rich model-dependent ***,we find the existence of a special point coined as pseudo-periodic boundary condition,for which the eigenvalues are the same as those of the periodical system when the hopping parameters fulfill certain conditions,whereas the eigenstates display the non-Hermitian skin effect.

关键词： non-Hermitian physics exact solution topological physics long-range hopping

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Experimental realization of non-Abelian permutations in a three-state non-Hermitian system

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National Science Review 2022年第11期9卷 79-86页

作者： Weiyuan Tang Kun Ding Guancong Ma Department of physics Hong Kong Baptist University Department of physics State Key Laboratory of Surface Physics and Key Laboratory of Micro and Nano Photonic Structures(Ministry of Education) Fudan University

Eigenstates of a non-Hermitian system exist on complex Riemannian manifolds, with multiple sheets connecting at branch cuts and exceptional points(EPs). These eigenstates can evolve across different sheets—a process that naturally corresponds to state permutation. Here, we report the first experimental realization of non-Abelian permutations in a three-state non-Hermitian system. Our approach relies on the stroboscopic encircling of two different exceptional arcs(EAs), which are smooth trajectories of order-2EPs appearing from the coalescence of two adjacent states. The non-Abelian characteristics are confirmed by encircling the EAs in opposite sequences. A total of five non-trivial permutations are experimentally realized, which together comprise a non-Abelian group. Our approach provides a reliable way of investigating non-Abelian state permutations and the related exotic winding effects in non-Hermitian systems.

关键词： non-Abelian permutation non-Hermitian physics topological physics acoustics

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Revealing Chern number from quantum metric

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Chinese physics B 2022年第4期31卷 73-77页

作者： Anwei Zhang Department of physics The Chinese University of Hong KongShatinNew TerritoriesHong KongChina Department of physics Ajou UniversitySuwon 16499Korea

Chern number is usually characterized by Berry ***,by investigating the Dirac model of even-dimensional Chern insulator,we give the general relation between Berry curvature and quantum metric,which indicates that the Chern number can be encoded in quantum metric as well as the surface area of the Brillouin zone on the hypersphere embedded in Euclidean parameter *** find that there is a corresponding relationship between the quantum metric and the metric on such a *** give the geometrical property of quantum ***,we give a protocol to measure the quantum metric in the degenerate system.

关键词： quantum metric Chern insulator topological physics

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