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We describe a method to engineer giant nonlinearities in, and probes to measure nonlinear observables of, mesoscopic quantum resonators. This involves tailoring the Hamiltonian of a simple auxiliary system perturbatively coupled to the…

Quantum Physics · Physics 2009-08-07 Kurt Jacobs , Andrew Landahl

We propose and experimentally demonstrate a scheme allowing to reach noncollinear phase-matching of high harmonic generation in solids, which may potentially lead to an enhancement of the generation efficiency. The principle is based on…

Optics · Physics 2026-02-24 Pavel Peterka , František Trojánek , Petr Malý , Martin Kozák

Manifesting across all time, mass and length scales, nonlinearities lie at the core of numerous physical phenomena. Next-generation quantum applications, such as quantum sensing, require the combination of nonlinearity with non-classical…

Quantum Physics · Physics 2026-03-12 Shivangi Dhiman , K. Rubenbauer , T. Luschmann , A. Marx , A. Metelmann , H. Huebl

Optical properties of periodic arrays of nanoholes of a triangular shape with experimentally realizable parameters are examined in both linear and nonlinear regimes. Utilizing fully vectorial three-dimensional approach based on the…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Elena Drobnyh , Maxim Sukharev

We derive a time-domain mean-field equation to model the full temporal and spectral dynamics of light in singly resonant cavity-enhanced second-harmonic generation systems. We show that the temporal walk-off between the fundamental and the…

Optics · Physics 2016-01-27 F. Leo , T. Hansson , I. Ricciardi , M. De Rosa , S. Coen , S. Wabnitz , M. Erkintalo

Two-photon loss mechanisms often accompany a Kerr nonlinearity. The kinetic inductance exhibited by superconducting transmission lines provides an example of a Kerr-like nonlinearity that is accompanied by a nonlinear resistance of the…

Quantum Physics · Physics 2009-11-11 Bernard Yurke , Eyal Buks

We study the peculiarities of the nonstationary Casimir effect (creation of photons in cavities with moving boundaries) in the special case of two resonantly coupled modes with frequencies $\omega_0$ and $(3\Delta)\omega_0$, parametrically…

Quantum Physics · Physics 2009-11-07 A. V. Dodonov , V. V. Dodonov

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

We study the dynamical Casimir effect in an electromagnetic cavity containing a Kerr medium. We obtain approximate expressions for the time evolution operator as well as for the number operator in the Heisenberg representation. We have…

Quantum Physics · Physics 2017-05-24 R. Román-Ancheyta , C. González-Gutiérrez , J. Récamier

We consider the nonstationary circuit QED setup in which a 3-level artificial atom in the $\Delta$-configuration interacts with a single-mode cavity field of natural frequency $\omega $. It is demonstrated that when some atomic energy…

Quantum Physics · Physics 2018-09-05 H Dessano , A V Dodonov

We investigate analytically and numerically the nonstationary circuit QED setup in which $N$ independent qubits interact with a single mode of the Electromagnetic field confined in a resonator. We consider the harmonic time modulation of…

Quantum Physics · Physics 2016-12-21 E. L. S. Silva , A. V. Dodonov

We investigated both theoretically and experimentally open-ended coplanar waveguide resonators with rf SQUIDs embedded in the central conductor at different positions. These rf SQUIDs can be tuned by an external magnetic field and thus may…

Superconductivity · Physics 2022-05-05 M. Khabipov , V. Gaydamachenko , C. Kissling , R. Dolata , A. B. Zorin

We introduce a new mechanism for second-harmonic generation through geometrically rectifying-funneling-ballistic electrons in THz optical resonators. Our resonant rectifiers inherently act as second-order harmonic generators, rectifying…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Hue T. B. Do , Gregory K. Ngirmang , Wu Lin , Michel Bosman

Harmonic generation is a general characteristic of driven nonlinear systems, and serves as an efficient tool for investigating the fundamental principles that govern the ultrafast nonlinear dynamics. In atomic gases, high-harmonic radiation…

We investigate the resonant enhancement of nonlinear interactions in a three-mode cavity optomechanical system with two mechanical oscillators. By using the Keldysh Green's function technique we find that nonlinear effects on the cavity…

Quantum Physics · Physics 2020-04-06 Jing Qiu , Li-Jing Jin , Stefano Chesi , Ying-Dan Wang

We propose a new concept to generate efficient one-third harmonic light from an unseeded third harmonic process in optical fibers. Our concept is based on the dynamic constant (Hamiltonian) of the nonlinear third harmonic generation in…

Precise control of mechanical modes in the quantum regime is a key resource for quantum technologies, offering promising pathways for quantum sensing with macroscopic systems and scalable architectures for quantum simulation. In this work,…

We investigate the potential for controlling the effect of nonlinear Stochastic Resonance (SR) by use of harmonic mixing signals for an overdamped Brownian dynamics in a symmetric double well potential. The periodic forcing for harmonic…

Statistical Mechanics · Physics 2007-05-23 Gerhard Schmid , Peter Hanggi

We study the second-harmonic generation in left-handed metamaterials with a quadratic nonlinear response. We demonstrate a novel type of the exact phase matching between the backward propagating wave of the fundamental frequency and the…

Optics · Physics 2009-11-11 Ilya V. Shadrivov , Alexander A. Zharov , Yuri S. Kivshar

We have observed period-tripling subharmonic oscillations, in a superconducting coplanar waveguide resonator operated in the quantum regime, $k_B T \ll \hbar\omega$. The resonator is terminated by a tunable inductance that provides a…