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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…

Quantum Physics · Physics 2022-09-19 Joan A. Austrich-Olivares , J. David Vergara

We develop a theory that describes the response of non-reciprocal devices employing 2-dimensional materials in the quantum Hall regime capacitively coupled to external electrodes. As the conduction in these devices is understood to be…

Mesoscale and Nanoscale Physics · Physics 2017-05-31 Stefano Bosco , David Peter DiVincenzo

Nonlinear responses in transport experiments may unveil information and generate new phenomena in materials that are not accessible at linear order due to symmetry constraints. While the linear anomalous Hall response strictly requires the…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Ankita Bhattacharya , Annica M. Black-Schaffer

Simplest models of two- and three-terminal Quantum Quantum Gates are suggested in form of a quantum ring with few one-dimensional quantum wires attached to it and several point-wise govering electrodes inside the ring which are charged by a…

Condensed Matter · Physics 2007-05-23 S. Avdonin , N. Bagraev , A. Mikhailova , B. Pavlov

Since the first observation of second harmonic generation (SHG), there have been extensive studies on this nonlinear phenomenon not only to clarify its physical origin but also to realize unconventional functionalities. Nonetheless, a…

Comparative analysis of second harmonic generation in ordinary and backward-wave settings is presented. Extraordinary properties of frequency doubling nonlinear optical reflectivity and pulse shaping through phase matching of ordinary and…

Optics · Physics 2016-02-02 Alexander K. Popov , Sergey A. Myslivets

Quantum geometry - the geometry of electron Bloch wavefunctions - is central to modern condensed matter physics. Due to the quantum nature, quantum geometry has two parts, the real part quantum metric and the imaginary part Berry curvature.…

Nonlinear electrical response permits a unique window into effects of band structure geometry. It can be calculated either starting from a Boltzmann approach for small frequencies, or using Kubo's formula for resonances at finite frequency.…

Mesoscale and Nanoscale Physics · Physics 2023-04-26 Daniel Kaplan , Tobias Holder , Binghai Yan

The quantum geometry tensor, intrinsic geometric characteristics of electronic states, plays a crucial role in the various nontrivial electromagnetic phenomena in quantum materials. Here, we reveal that quantum geometry significantly…

Mesoscale and Nanoscale Physics · Physics 2025-11-21 Ding Li , Guoao Yang , Tao Qin , Jianhui Zhou , Yugui Yao

A hallmark of wave-matter duality is the emergence of quantum-interference phenomena when an electronic transition follows different trajectories. Such interference results in asymmetric absorption lines such as Fano resonances, and gives…

Mesoscale and Nanoscale Physics · Physics 2021-07-15 Kai-Qiang Lin , Sebastian Bange , John M. Lupton

Two-dimensional systems with honeycomb lattice are known to be a paradigmatic platform to explore the various types of Hall effects, owing to that the interplay of lattice geometry, spin-orbit coupling and magnetism can give rise to very…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Zheng-Yang Zhuang , Zhongbo Yan

The concept of quantum geometry for single-particle states has revolutionized our interpretation of several emergent properties in condensed matter. However, a description of the quantum geometry for interacting particles and an…

Materials Science · Physics 2025-08-12 MingRui Lai , Fengyuan Xuan , Su Ying Quek

Second harmonic generation is enhanced at the surface lattice resonance in plasmonic nanoparticle arrays. We carried out a parametric investigation on two-dimensional lattices composed of gold nanobars where the centrosymmetry is broken at…

We consider the nonlinear response of a disordered two-dimensional electronic system, lacking inversion symmetry, to an external alternating electric field. The application of an in-plane static magnetic field induces local contributions to…

Mesoscale and Nanoscale Physics · Physics 2025-07-15 Maxim Dzero , Jaglul Hasan , Alex Levchenko

We systematically investigate nonlinear Ohmic responses in second-harmonic generation and bilinear magnetoelectric effects within the Matsubara Green's function formalism. The optical nonlinear Ohmic conductivity is shown to consist of a…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Anwei Zhang , Zheng Cai , C. M. Wang

Second-order nonlinear optical responses, including photogalvanic effect (PGE) and second harmonic generation (SHG), are important physical phenomena in nonlinear optics. The PGE (SHG) related to linearly and circularly polarized light are…

Mesoscale and Nanoscale Physics · Physics 2023-06-01 Yuan Liu , Zhen-Gang Zhu , Gang Su

The quantum resonances of classically chaotic n-disk geometries were studied experimentally utilizing thin 2-D microwave geometries. The experiments yield the frequencies and widths of low-lying resonances, which are compared with…

chao-dyn · Physics 2009-10-31 Wentao Lu , M. Rose , K. Pance , S. Sridhar

For a wide variety of quantum potentials, including the textbook `instanton' examples of the periodic cosine and symmetric double-well potentials, the perturbative data coming from fluctuations about the vacuum saddle encodes all…

High Energy Physics - Theory · Physics 2017-06-23 Gokce Basar , Gerald V. Dunne , Mithat Unsal

In this article the geometry of quantum gravity is quantized in the sense of being noncommutative (first quantization) but it is also quantized in the sense of being emergent (second quantization). A new mechanism for quantum geometry is…

High Energy Physics - Theory · Physics 2022-06-29 Badis Ydri , Ramda Khaled , Cherine Soudani

In quantum sideband high harmonic generation (QSHHG), high harmonic generation is perturbed by a bright quantum field resulting in harmonic sidebands, with the intent to transfer non-classical properties from the quantum perturbation to the…

Quantum Physics · Physics 2025-05-29 Neda Boroumand , Adam Thorpe , Graeme Bart , Lu Wang , David N. Purschke , Giulio Vampa , Thomas Brabec