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Pair density wave facilitated by Bloch quantum geometry in nearly flat band multiorbital superconductors

Science China(Physics,Mechanics & Astronomy) 2023年第8期66卷 108-114页

作者： Weipeng Chen Wen Huang Shenzhen Institute for quantum Science and Engineering Southern University of Science and TechnologyShenzhen 518055China International quantum Academy Shenzhen 518048China Guangdong Provincial Key Laboratory of quantum Science and Engineering Southern University of Science and TechnologyShenzhen 518055China

Bloch electrons in multiorbital systems carry quantum geometric information characteristic of their wavevector-dependent interorbital *** geometric nature impacts electromagnetic responses,and this effect carries over to the superconducting state,which receives a geometric contribution to the superfluid *** this paper,we show that this contribution could become negative under certain appropriate *** may facilitate the stabilization of Cooper pairings with real space phase modulation,i.e.,the pair density wave order,as we demonstrate through two-orbital model Bogoliubov de-Gennes mean-field *** quantum geometric effect therefore constitutes an intrinsic mechanism for the formation of such a novel phase of matter in the absence of external magnetic field.

关键词： superconductivity quantum geometry pair density wave superfluid weight FFLO

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

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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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Optical detection of quantum geometric tensor in intrinsic semiconductors

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Science China(Physics,Mechanics & Astronomy) 2021年第10期64卷 82-87页

作者： Zhi Li Shengli Zhang Takami Tohyama Xiufeng Song Yu Gu Toshiaki Iitaka Haibin Su Haibo Zeng MIIT Key Lxiboratory of Advanced Display Materials and Devices Ministry of Industry and Information TechnologyInstitute of Optoelectronics&NanomaterialsNanjing University of Science and TechnologyNanjing 210094China Department of Applied Physics Tokyo University of ScienceKatsushikaTokyo 125-8585Japan Discrete Event Simulation Research Team R/KEN Center for Computational ScienceWako 351-0198Japan Department of Chemistry The Hong Kong University of Science and TechnologyHong KongChina

quantum geometric tensor, including a symmetric real part defined as quantum metric and an antisymmetric part defined as Berry curvature, is essential for understanding many phenomena. In this study, we investigated the photogalvanic efect of semiconductors with time-reversal-invariant and spatial inversion symmetries using the quantum kinetic equation. We concluded that the integral of the symmetric(antisymmetric) part of quantum geometric tensor on the equal energy surface in momentum space, satisfying the resonance condition, is related to the generation rate of carriers in semiconductors under linearly(circularly) polarized light. Under additional bias voltage, the dc photocurrent is proportional to the bias voltage. Our study provided an alternative interpretation for the photogalvanic efect in the view of quantum geometric tensor. Additionally, it classified the intrinsic diference between linearly and circularly polarized optical fields.

关键词： quantum geometry photovoltaic efect nonlinear optics

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穿过离散与连续之间的无穷小逻辑距离

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科学技术哲学 2020年第5期

作者：高策冯晓华

目前试图结合广义相对论与量子力学的量子引力论强调了最小普朗克距离。这种离散化的要求是否意味着以无穷小距离、连续和微积分为基础的近代数学的终结？如果从离散与连续的角度重新分析已有物理学统一理论所需要的数学理论，就会发现... 详细信息

目前试图结合广义相对论与量子力学的量子引力论强调了最小普朗克距离。这种离散化的要求是否意味着以无穷小距离、连续和微积分为基础的近代数学的终结？如果从离散与连续的角度重新分析已有物理学统一理论所需要的数学理论，就会发现，它们都不同程度地处理了离散、连续以及离散与连续之间的统一问题；而当前的量子引力论仍旧需要处理离散与连续之间的统一问题，并且，其相应的量子几何学有可能全面实现离散与连续之间的统一。

关键词：离散连续流形希尔伯特空间量子几何学 discreteness continuation manifold Hilbert space quantum geometry

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