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Berry curvature-related topological phenomena have been a central topic in condensed matter physics. Yet, until recently other quantum geometric quantities such as the metric and connection received only little attention due to the…

介观与纳米尺度物理 · 物理学 2025-07-08 Yiyang Jiang , Tobias Holder , Binghai Yan

We propose the theory of quantum gravity with interactions introduced by topological principle. The fundamental property of such a theory is that its energy-momentum tensor is an BRST anticommutator. Physical states are elements of BRST…

高能物理 - 理论 · 物理学 2010-11-01 Pawel O. Mazur , V. P. Nair

Quantum geometry, encoded in the Berry curvature and quantum metric, has unified diverse anomalous transport phenomena in solids, yet a microscopic quantum-geometric theory of entropy transport for Bloch electrons is still lacking. We…

统计力学 · 物理学 2026-02-03 Longjun Xiang , Jinxiong Jia , Jian Wang

Altermagnets are rapidly emerging as a highly promising platform for spintronics, yet dynamically controlling their spin responses remains a fundamental challenge. In this work, we demonstrate that introducing periodic optical driving and…

介观与纳米尺度物理 · 物理学 2026-05-18 Kai Chen , Jie Zhu

In Hilbert space, the geometry of the quantum state is identified by the quantum geometric tensor (QGT), whose imaginary part is the Berry curvature and real part is the quantum metric tensor. Here, we propose and experimentally implement a…

QFT vector models are a newly developed approach to quantum gravity, which are based on induced gravity in discrete spacetimes. Here we review some basic definitions and properties of these models and point out directions for future…

广义相对论与量子宇宙学 · 物理学 2026-04-09 Matti Raasakka

We investigate the finite-size scaling of the boundary quantum geometric tensor (QGT) numerically close to the Anderson localization transition in the presence of small external magnetic fields. The QGT exhibits universal scaling and…

无序系统与神经网络 · 物理学 2019-03-27 Miklós Antal Werner , Arne Brataas , Felix von Oppen , Gergely Zaránd

The aim of this work is to apply WIMT to Gullstr\'and-Painlev\'e and Reissner-Nordstr\"om metrics in the framework of Weitzeb\"ock Induced Matter Theory (WIMT). This is a newly developed method that extends Induced Matter Theory from a…

广义相对论与量子宇宙学 · 物理学 2015-05-06 Jesús Martín Romero , Mauricio Bellini

Intermediate-scale quantum technologies provide new opportunities for scientific discovery, yet they also pose the challenge of identifying suitable problems that can take advantage of such devices in spite of their present-day limitations.…

We experimentally determine isotropic and anisotropic g-factor corrections in lateral GaAs single-electron quantum dots. We extract the Zeeman splitting by measuring the tunnel rates into the individual spin states of an empty quantum dot…

介观与纳米尺度物理 · 物理学 2021-08-04 Leon C. Camenzind , Simon Svab , Peter Stano , Liuqi Yu , Jeramy D. Zimmerman , Arthur C. Gossard , Daniel Loss , Dominik M. Zumbühl

We propose a mechanism for the inverse Faraday and the inverse Cotton--Mouton effects arising from quantum geometry, characterized by the quantum metric quadrupole and the weighted quantum metric. Within a semiclassical framework based on…

材料科学 · 物理学 2026-01-15 Hiroki Yoshida , Takehito Yokoyama

Exactly soluble models can serve as excellent tools to explore conceptual issues in non-perturbative quantum gravity. In perturbative approaches, it is only the two radiative modes of the linearized gravitational field that are quantized.…

广义相对论与量子宇宙学 · 物理学 2022-11-04 Abhay Ashtekar

The study of quantum geometry effects in materials has been one of the most important research directions in recent decades. The quantum geometry of a material is characterized by the quantum geometry tensor of the Bloch states. The…

Modular Berry transport is a useful way to understand how geometric bulk information is encoded in the boundary CFT: The modular curvature is directly related to the bulk Riemann curvature. We extend this approach by studying modular…

高能物理 - 理论 · 物理学 2024-07-11 Lars Aalsma , Cynthia Keeler , Claire Zukowski

We show that the dipole moment of an exciton is uniquely determined by the quantum geometry of its eigenstates, and demonstrate its intimate connection with a quantity we call the Quantum Geometric Dipole (QGD). The QGD arises naturally in…

介观与纳米尺度物理 · 物理学 2025-07-02 Jinlyu Cao , H. A. Fertig , Luis Brey

We demonstrate that a symmetry of the local gyrokinetic model is broken when the safety factor q is almost (but not exactly) a rational number and magnetic shear is $\hat{s} \approx 0$. Tokamaks with such a q profile will spontaneously…

等离子体物理 · 物理学 2026-05-29 Justin Ball , Arnas Volcokas , Stephan Brunner

Quantum geometry, characterized by the quantum geometric tensor, is pivotal in diverse physical phenomena in quantum materials. In condensed matter systems, quantum geometry refers to the geoemtric properties of Bloch states in the…

介观与纳米尺度物理 · 物理学 2025-03-17 Jiabin Yu , B. Andrei Bernevig , Raquel Queiroz , Enrico Rossi , Päivi Törmä , Bohm-Jung Yang

The Berry curvature (BC), a quantity encoding the geometry of electronic wavefunctions, governs various electronic transport effects in quantum materials. In magnetic systems, the BC is reponsible for the intrinsic part of the anomalous…

介观与纳米尺度物理 · 物理学 2025-10-07 Rhonald Burgos Atencia , Antonio Vecchione , Denys Makarov , Carmine Ortix

The manifold of pure quantum states is a complex projective space endowed with the unitary-invariant geometry of Fubini and Study. According to the principles of geometric quantum mechanics, the detailed physical characteristics of a given…

量子物理 · 物理学 2015-06-26 Dorje C. Brody , Lane P. Hughston

We investigate the post-quench dynamics of the quantum geometric tensor (QGT) of 1D periodic systems with a suddenly changed Hamiltonian. The diagonal component with respect to the crystal momentum gives a metric corresponding to the…

量子物理 · 物理学 2026-05-05 Jia-Chen Tang , Xu-Yang Hou , Yu-Huan Huang , Hao Guo. Chih-Chun Chien