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This work focuses on understanding the nonlinear-optical response of a 1-D quantum wire embedded in 2-D space when quantum-size effects in the transverse direction are minimized using an extremely weighted delta function potential. Our aim…

Optics · Physics 2012-03-30 Shoresh Shafei , Mark G. Kuzyk

We analyze the nonlinear optics of quasi one-dimensional quantum graphs and manipulate their topology and geometry to generate for the first time nonlinearities in a simple system approaching the fundamental limits of the first and second…

Optics · Physics 2014-01-28 Rick Lytel , Shoresh Shafei , Julian H. Smith , Mark G. Kuzyk

Quantum graphs have recently emerged as models of nonlinear optical, quantum confined systems with exquisite topological sensitivity and the potential for predicting structures with an intrinsic, off-resonance response approaching the…

Optics · Physics 2013-05-21 Rick Lytel , Shoresh Shafei , Mark G. Kuzyk

The transmission through quantum wires is studied within a noninteracting model taking into account the geometry of cleaved edge overgrowth devices. We show that the junction between wide contact and narrow wire has almost no influence on…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 G. Kießlich , A. Wacker , E. Schöll

The nonlinear optical behavior of quantum systems plays a crucial role in various photonic applications. This study introduces a novel framework for understanding these nonlinear effects by incorporating gauge-covariant formulations based…

General Physics · Physics 2025-03-11 Jingxu Wu , Chenjia Li

Extensive studies in the past have focused on precise calculations of the nonlinear-optical susceptibility of thousands of molecules. In this work, we use the broader approach of considering how geometry and symmetry alone play a role. We…

Optics · Physics 2009-11-11 Mark G. Kuzyk , David S. Watkins

Quantum geometry of the electron wave function plays a significant role in the linear and non-linear responses of crystalline materials. Here, we study quantum geometry induced second harmonic generation. We identify non-linear responses…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 Pankaj Bhalla , Kamal Das , Dimitrie Culcer , Amit Agarwal

We have performed theoretical calculation of the nonlinear optical properties in a quantum well (QW) with the hyperbolic confinement potential. Calculation results reveal that the transition energy, oscillator strength, second-order…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Tairong Chen , Wenfang Xie , Shijun Liang

We demonstrate that higher-order electric susceptibilities in crystals can be enhanced and understood through nontrivial topological invariants and quantum geometry, using one-dimensional $\pi$-conjugated chains as representative model…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Wojciech J. Jankowski , Robert-Jan Slager , Michele Pizzochero

Graphene quantum dots (GQDs) are nanoscale structures of graphene with quantum properties and edge effects that give photoluminescence properties. The effect of quantum confinement and differences in the nature of GQD structure makes its…

Computational Physics · Physics 2022-12-21 Setianto , I Made Joni

For many materials, a precise knowledge of their dispersion spectra is insufficient to predict their ordered phases and physical responses. Instead, these materials are classified by the geometrical and topological properties of their…

Materials Science · Physics 2021-06-16 Qiong Ma , Adolfo G. Grushin , Kenneth S. Burch

Quantum geometry plays a pivotal role in the second-order response of $\cal PT$-symmetric antiferromagnets. Here we study the nonlinear response of 2D altermagnets protected by $C_n\cal T$ symmetry and show that their leading nonlinear…

Mesoscale and Nanoscale Physics · Physics 2025-05-13 Yuan Fang , Jennifer Cano , Sayed Ali Akbar Ghorashi

Tensor networks impose a notion of geometry on the entanglement of a quantum system. In some cases, this geometry is found to reproduce key properties of holographic dualities, and subsequently much work has focused on using tensor networks…

Strongly Correlated Electrons · Physics 2017-10-04 Katharine Hyatt , James R. Garrison , Bela Bauer

We review recent results on the linear and non-linear optical response of realistic quantum-wire structures. Our theoretical approach is based on a set of generalized semiconductor Bloch equations, and allows a full three-dimensional…

Materials Science · Physics 2009-10-30 Fausto Rossi , Elisa Molinari

The paper aims to reveal the relationship between the geometrical features and linear and nonlinear optical properties of InAs quantum dots (QDs). This problem is justified by the extreme variety offered by the recent advances in growth…

Mesoscale and Nanoscale Physics · Physics 2024-06-21 Grigor A. Mantashian

Since electrons in a ballistic regime perceive a carbon nanotube or a graphene layer structure as a continuous medium, we can use the study of the quantum dynamics of one electron constrained to a curve or surface to obtain a qualitative…

Mesoscale and Nanoscale Physics · Physics 2021-05-24 J. D. M. de Lima , E. Gomes , F. F. da Silva Filho , F. Moraes , R. Teixeira

Because of the potentially large number of important applications of nonlinear optics, researchers have expended a great deal of effort to optimize the second-order molecular nonlinear-optical response, called the hyperpolarizability. The…

Optics · Physics 2015-03-17 David S. Watkins , Mark G. Kuzyk

Previous studies have used numerical methods to optimize the hyperpolarizability of a one-dimensional quantum system. These studies were used to suggest properties of one-dimensional organic molecules, such as the degree of modulation of…

Optics · Physics 2015-05-18 Urszula B. Szafruga , Mark G. Kuzyk , David S. Watkins

Symmetry-driven phenomena arising in nonlocal metasurfaces supporting quasi-bound states in the continuum (q-BICs) have been opening new avenues to tailor enhanced light-matter interactions via perturbative design principles. Geometric…

Optics · Physics 2023-02-28 Adam Overvig , Yoshiaki Kasahara , Gengyu Xu , Andrea Alù

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…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Yiyang Jiang , Tobias Holder , Binghai Yan
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