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The quantum geometric tensor (QGT), whose real and imaginary parts define the quantum metric and Berry curvature, encodes the intrinsic geometry of quantum states. While electronic QGT has been directly observed and linked to various…

材料科学 · 物理学 2026-01-22 Chi Wu , Takashi Oka , Shuichi Murakami , Tiantian Zhang

For decades, ``geometry" in band theory has largely meant Berry phase and Berry curvature-quantities that reshape semiclassical dynamics and underpin modern topological matter. Yet the full geometric content of a Bloch band is richer and…

材料科学 · 物理学 2026-01-01 Bohm-Jung Yang

Topological Physics relies on the specific structure of the eigenstates of Hamiltonians. Their geometry is encoded in the quantum geometric tensor containing both the celebrated Berry curvature, crucial for topological matter, and the…

介观与纳米尺度物理 · 物理学 2020-03-03 A. Gianfrate , O. Bleu , L. Dominici , V. Ardizzone , M. De Giorgi , D. Ballarini , K. West , L. N. Pfeiffer , D. D. Solnyshkov , D. Sanvitto , G. Malpuech

Understanding the geometric properties of quantum states and their implications in fundamental physical phenomena is at the core of modern physics. The Quantum Geometric Tensor (QGT) is a central physical object in this regard, encoding…

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…

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 have developed a theory of the one-phonon intraband resonance Raman scattering (IRRS) in anisotropic quantum dots subjected to an arbitrarily directed magnetic field. The differential Raman cross section is obtained. The resonance…

介观与纳米尺度物理 · 物理学 2010-01-08 A. V. Shorokhov , V. A. Margulis

Berry curvature is an imaginary component of the quantum geometric tensor (QGT) and is well studied in many branches of modern physics; however, the quantum metric as a real component of the QGT is less explored. Here, by using tunable…

The local geometry of the parameter space of a quantum system is described by the quantum metric tensor and the Berry curvature, which are two fundamental objects that play a crucial role in understanding geometrical aspects of condensed…

Recently, it has been predicted that the Berry curvature of electrons can produce an angular momentum for phonons. In systems with time-reversal symmetry, the direction of the phonon angular momentum is locked to the phonon wave vector.…

介观与纳米尺度物理 · 物理学 2023-05-12 Selçuk Parlak , Sayandip Ghosh , Ion Garate

We show that in-plane-magnetic-field assisted spectroscopy allows extraction of the in-plane orientation and full 3D shape of the quantum mechanical orbitals of a single electron GaAs lateral quantum dot with sub-nm precision. The method is…

介观与纳米尺度物理 · 物理学 2019-05-29 Leon C. Camenzind , Liuqi Yu , Peter Stano , Jeramy Zimmerman , Arthur C. Gossard , Daniel Loss , Dominik M. Zumbühl

A series of geometric concepts are formulated for $\mathcal{PT}$-symmetric quantum mechanics and they are further unified into one entity, i.e., an extended quantum geometric tensor (QGT). The imaginary part of the extended QGT gives a…

量子物理 · 物理学 2019-04-10 Da-Jian Zhang , Qing-hai Wang , Jiangbin Gong

The interplay between different degrees of freedom in condensed matter systems engenders a rich variety of emergent phenomena. In particular, fermions with non-trivial quantum geometry can generate Chern-Simons (CS)-like terms in effective…

介观与纳米尺度物理 · 物理学 2025-08-07 Swati Chaudhary , Takashi Oka

We introduce a quantum geometric tensor in a curved space with a parameter-dependent metric, which contains the quantum metric tensor as the symmetric part and the Berry curvature corresponding to the antisymmetric part. This…

量子物理 · 物理学 2022-09-19 Joan A. Austrich-Olivares , J. David Vergara

We first consider a generic two-band model which can be mapped to a pseudospin on a Bloch sphere. We establish the link between the pseudospin orientation and the components of the quantum geometric tensor (QGT): the metric tensor and the…

介观与纳米尺度物理 · 物理学 2019-01-01 O. Bleu , D. Solnyshkov , G. Malpuech

Recently, phonons with chirality (chiral phonons) have attracted significant attention. Chiral phonons exhibit angular and pseudo-angular momenta. In circularly polarized Raman spectroscopy, the peak split of the $\Gamma_3$ mode is…

We describe a detector that measures the mutual coherence of two optical fields directly using quantum interference, free from photon noise of the individual irradiances. Our approach utilizes Raman transition in an atomic system where the…

量子物理 · 物理学 2008-12-16 Jungsang Kim , David J. Brady

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

We study the multiorder coherent Raman scattering of a quantum probe field in a far-off-resonance medium with a prepared coherence. Under the conditions of negligible dispersion and limited bandwidth, we derive a Bessel-function solution…

量子物理 · 物理学 2009-11-10 Fam Le Kien , Anil K. Patnaik , K. Hakuta

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
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