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The bulk photovoltaic effect is an example of a non-linear optical response that leads to a DC current that is relevant for photo-voltaic applications. In this work, we theoretically study this effect in the presence of electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Tamoghna Barik , Jay D. Sau

Based on the nonequilibrium Green's function (NEGF), we develop a quantum nonlinear theory to study time-dependent ac transport properties in the low frequency and nonlinear bias voltage regimes. By expanding NEGF in terms of time to the…

Mesoscale and Nanoscale Physics · Physics 2023-11-07 Lei Zhang , Fuming Xu , Jian Chen , Yanxia Xing , Jian Wan

Nonlinearity induced nonreciprocity is studied in a system comprising two resonators coupled to a one-dimensional waveguide when the linear system does not exhibit nonreciprocity. The analysis is based on the Hamiltonian of the coupled…

Optics · Physics 2024-09-11 Qingtian Miao , G. S. Agarwal

Nonlinearity is the key to introducing novel concepts in various technologies utilizing traveling waves. In contrast to the field of optics, where highly functional devices have been developed using optical Kerr nonlinearity, such a…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 Megumi Kurosu , Daiki Hatanaka , Hiroshi Yamaguchi

While linear response theory, manifested by the fluctuation dissipation theorem, can be applied at any level of coarse graining, nonlinear response theory is fundamentally of microscopic nature. For perturbations of equilibrium systems, we…

Statistical Mechanics · Physics 2020-12-01 Fenna Müller , Urna Basu , Peter Sollich , Matthias Krüger

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

Nonlinear optical waveguides, particularly those harnessing the optical Kerr effect, are promising for advancing next-generation photonic technologies. Despite the Kerr effect`s ultrafast response, its inherently weak nonlinearity has…

We employ a quantum theory of the nonlinear optical response from an actual solid-state material possessing an intrinsic bulk contribution to the third-order nonlinear susceptibility (Kerr-type nonlinearity), which can be arbitrarily…

Mesoscale and Nanoscale Physics · Physics 2012-01-25 Sara Ferretti , Dario Gerace

We compute from first principles the infrared dispersion of the nonlinear susceptibility $\chi^{(2)}$ in zincblende semiconductors. At terahertz frequencies the nonlinear susceptibility depends not only on the purely electronic response…

Materials Science · Physics 2009-12-17 Eric Roman , Jonathan R. Yates , Marek Veithen , David Vanderbilt , Ivo Souza

Rectification, the conversion of AC fields into DC currents, is crucial for optoelectronic applications such as energy harvesting and wireless communication. However, it is conventionally absent in centrosymmetric systems due to vanishing…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Sanjay Sarkar , Amit Agarwal

In this paper, by mapping datasets to a set of non-linear coherent states, the process of encoding inputs in quantum states as a non-linear feature map is re-interpreted. As a result of this fact that the Radial Basis Function is recovered…

Quantum Physics · Physics 2020-07-17 Prayag Tiwari , Shahram Dehdashti , Abdul Karim Obeid , Massimo Melucci , Peter Bruza

We report on the generation of bulk photocurrents in materials driven by non-resonant bi-chromatic fields that are circularly polarized and co-rotating. The nonlinear photocurrents have a fully controllable directionality and amplitude…

Materials Science · Physics 2021-09-22 Ofer Neufeld , Nicolas Tancogne-Dejean , Umberto De Giovannini , Hannes Hubener , Angel Rubio

We add non-linear and state-dependent terms to quantum field theory. We show that the resulting low-energy theory, non-linear quantum mechanics, is causal, preserves probability and permits a consistent description of the process of…

High Energy Physics - Theory · Physics 2022-03-10 David E. Kaplan , Surjeet Rajendran

We use weakly nonlinear geometric optics to study a model for the DC Kerr effect (the Kerr electro-optic effect), in which a light beam propagating through a material with strong nonlinear optical properties can have its polarization…

Analysis of PDEs · Mathematics 2025-05-05 Nikolas Eptaminitakis , Plamen Stefanov

We present a formulation for the nonlinear optical response in gapped graphene, where the low-energy single-particle spectrum is modeled by massive Dirac theory. As a representative example of the formulation presented here, we obtain…

Strongly Correlated Electrons · Physics 2012-05-30 S. A. Jafari

The fully nonlinear response of a many-level tunneling system to a strong alternating field of high frequency $\omega$ is studied in terms of the Schwinger-Keldysh nonequilibrium Green functions. The nonlinear time dependent tunneling…

Condensed Matter · Physics 2009-10-28 Y. Goldin , Y. Avishai

We extend our previous study of the polarization dependence of the nonlinear optical response to the case of magnetic surfaces and buried magnetic interfaces. We calculate for the longitudinal and polar configuration the nonlinear…

Condensed Matter · Physics 2009-10-28 W. Hubner , K. H. Bennemann

We present a microscopic quantum theory for nonlinear optical phenomena in semiconductor quantum well heterostructures operating in the regime of ultra-strong light matter coupling regime. This work extends the Power-Zienau-Wooley (PZW)…

Optics · Physics 2025-06-11 Thomas Krieguer , Yanko Todorov

The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the Hall effects, it can survive time-reversal symmetry but…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Z. Z. Du , C. M. Wang , Hai-Peng Sun , Hai-Zhou Lu , X. C. Xie

This article introduces a novel numerical approach, based on Finite Volume Techniques, for studying fully nonlinear coagulation-fragmentation models, where both the coagulation and fragmentation components of the collision operator are…

Numerical Analysis · Mathematics 2025-06-04 Arijit Das , Minh-Binh Tran
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