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We study the role of the quantum geometric tensor (QGT) in the evolution of quantum systems. We show that all its components play an important role on the extra phase acquired by a spinor and on the trajectory of an accelerated wavepacket…

介观与纳米尺度物理 · 物理学 2018-07-18 O. Bleu , G. Malpuech , D. D. Solnyshkov

The combination of quantum geometry and magnetic geometry in magnets excites diverse phenomena, some critical for antiferromagnetic spintronics. However, very few material platforms have been predicted and experimentally verified to date,…

材料科学 · 物理学 2025-05-28 Haiyuan Zhu , Jiayu Li , Xiaobing Chen , Yutong Yu , Qihang Liu

Motivated by the idea that, in the background-independent framework of a Quantum Theory of Gravity, entanglement is expected to play a key role in the reconstruction of spacetime geometry, we investigate the possibility of using the…

广义相对论与量子宇宙学 · 物理学 2017-03-21 Fabio M. Mele

Quantum geometry is a differential geometry based on quantum mechanics. It is related to various transport and optical properties in condensed matter physics. The Zeeman quantum geometry is a generalization of quantum geometry including the…

介观与纳米尺度物理 · 物理学 2026-03-16 Motohiko Ezawa

This thesis explores important concepts in the area of quantum information geometry and their relationships. We highlight the unique characteristics of these concepts that arise from their quantum mechanical foundations and emphasize the…

量子物理 · 物理学 2023-02-27 Sergio B. Juárez

The exploration of the Riemannian structure of the Hilbert space has led to the concept of quantum geometry, comprising geometric quantities exemplified by Berry curvature and quantum metric. While this framework has profoundly advanced the…

介观与纳米尺度物理 · 物理学 2026-01-09 Xiao-Bin Qiang , Tianyu Liu , Hai-Zhou Lu , X. C. Xie

Over the years, Berry curvature, which is associated with the imaginary part of the quantum geometric tensor, has profoundly impacted many branches of physics. Recently, quantum metric, the real part of the quantum geometric tensor, has…

介观与纳米尺度物理 · 物理学 2025-11-25 Xiao-Bin Qiang , Tianyu Liu , Zi-Xuan Gao , Hai-Zhou Lu , X. C. Xie

Quantum geometry quantifies how the single-particle Bloch wavefunction changes in phase and amplitude across the Brillouin Zone. In multi-orbital systems where bands have strongly mixed orbital composition, quantum geometry plays a vital…

强关联电子 · 物理学 2026-02-27 Jixun K. Ding , Martin Claassen

The quantum geometric tensor (QGT) reveals local geometric properties and associated topological information of quantum states. Here a generalization of the QGT to mixed quantum states at finite temperatures based on the…

量子物理 · 物理学 2024-07-02 Zheng Zhou , Xu-Yang Hou , Xin Wang , Jia-Chen Tang , Hao Guo , Chih-Chun Chien

We explore how the quantum geometric properties of the Bloch wave function, characterized by the Hilbert-Schmidt quantum distance, impact magnetic phases in solid-state systems. To this end, we investigate the spin susceptibility within the…

强关联电子 · 物理学 2025-09-18 Chang-geun Oh , Taisei Kitamura , Akito Daido , Jun-Won Rhim , Youichi Yanase

Quantum materials are characterized by electromagnetic responses intrinsically linked to the geometry and topology of electronic wavefunctions, encoded in the quantum metric and Berry curvature. Whereas Berry curvature-mediated transport…

介观与纳米尺度物理 · 物理学 2025-08-26 Giacomo Sala , Maria Teresa Mercaldo , Klevis Domi , Stefano Gariglio , Mario Cuoco , Carmine Ortix , Andrea D. Caviglia

Quantum geometric tensor (QGT), including a symmetric real part defined as quantum metric and an antisymmetric part defined as Berry curvature, is essential for understanding many phenomena. We studied the photogalvanic effect of a…

介观与纳米尺度物理 · 物理学 2021-10-25 Zhi Li , Takami Tohyama , Toshiaki Iitaka , Haibin Su , Haibo Zeng

We describe the effects of geometric torsion on the coherent motion of electrons along a thin twisted quantum ring. The geometric torsion inherent in the quantum ring triggers a quantum phase shift in the electrons' eigenstates, thereby…

介观与纳米尺度物理 · 物理学 2015-05-13 Hisao Taira , Hiroyuki Shima

The quantum geometric tensor (QGT) fundamentally encodes the geometry and topology of quantum states in both Hermitian and non-Hermitian regimes. While adiabatic perturbation theory links its real part (quantum metric) and imaginary part…

量子物理 · 物理学 2025-12-19 Ze-Hao Huang , Hai-Tao Ding , Li-Jun Lang

A plethora of correlated and exotic metallic states have been identified on the border of itinerant magnetism, where the long-range spin texture is melted by tuning the magnetic transition temperature (T$_C$) towards zero, referred to as…

Quantum geometry governs a wide range of transport and optical phenomena in quantum materials. Recent works have explored analogue electromagnetism and gravity in terms of the quantum geometric tensor, whose real and imaginary parts…

介观与纳米尺度物理 · 物理学 2026-03-24 Luca Maranzana , Koki Shinada , Ying-Ming Xie , Sergey Artyukhin , Naoto Nagaosa

The quantum geometric tensor (QGT) characterizes the local geometry of quantum states, and its components directly account for the dynamical effects observed, e.g., in condensed matter systems. In this work, we address the problem of…

介观与纳米尺度物理 · 物理学 2025-02-18 Y. -M. Robin Hu , Elena A. Ostrovskaya , Eliezer Estrecho

Quantum geometry, which describes the geometry of Bloch wavefunctions in solids, has become a cornerstone of modern quantum condensed matter physics. The quantum geometrical tensor encodes this geometry through two fundamental components:…

强关联电子 · 物理学 2025-08-04 Anyuan Gao , Naoto Nagaosa , Ni Ni , Su-Yang Xu

Quantum geometry is a key quantity that distinguishes electrons in a crystal from those in the vacuum. Its study continues to provide insights into quantum materials, uncovering new design principles for their discovery. However, unlike the…

介观与纳米尺度物理 · 物理学 2022-01-03 Tyler B. Smith , Lakshmi Pullasseri , Ajit Srivastava

Geometric Quantum Mechanics is a novel and prospecting approach motivated by the belief that our world is ultimately geometrical. At the heart of that is a quantity called Quantum Geometric Tensor (or Fubini-Study metric), which is a…

量子物理 · 物理学 2013-04-08 Ran Cheng