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We perform the first nonlinear and self-consistent study of the merger and ringdown of a black hole mimicking object with stable light rings. To that end, we numerically solve the full Einstein-Klein-Gordon equations governing the head-on…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Nils Siemonsen

We report on the theoretical analysis as well as the numerical simulations about the nonlinear dynamics of cavity solitons in a passive Kerr resonator operating in the multistable regime under the condition of a sufficiently strong pump. In…

In this article, we study the effects of intrinsic nonlinear optomechanical interaction on the linear response of a driven-dissipative optomechanical system to a weak time-dependent perturbation. By calculating the linear response of the…

Quantum Physics · Physics 2025-02-17 B. Askari , A. Dalafi , M. J. Kazemi

We develop a theory for non-degenerate parametric resonance in a tunable superconducting cavity. We focus on nonlinear effects that are caused by nonlinear Josephson elements connected to the cavity. We analyze parametric amplification in a…

Quantum Physics · Physics 2017-08-31 Waltraut Wustmann , Vitaly Shumeiko

The nonlinear quantum regime is crucial for implementing interesting quantum effects, which have wide applications in modern quantum science. Here we propose an effective method to reach the nonlinear quantum regime in a modulated…

Quantum Physics · Physics 2017-12-27 Tai-Shuang Yin , Xin-You Lü , Li-Li Zheng , Mei Wang , Sha Li , Ying Wu

In this paper, we consider the resonance problem for the cubic nonlinear Helmholtz equation in the subwavelength regime. We derive a discrete model for approximating the subwavelength resonances of finite systems of high-contrast resonators…

Mathematical Physics · Physics 2025-04-17 Habib Ammari , Thea Kosche

Recent advances in the study of synthetic dimensions revealed a possibility to employ the frequency space as an additional degree of freedom which allows for investigating and exploiting higher-dimensional phenomena in a priori…

Pattern Formation and Solitons · Physics 2020-08-19 Aleksandr K. Tusnin , Alexey M. Tikan , Tobias J. Kippenberg

Onset of the instability of a multiple-scattering speckle pattern in a random medium with Kerr nonlinearity is significantly affected by the noninstantaneous character of the nonlinear medium response. The fundamental time scale of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 S. E. Skipetrov

Optomechanical systems provide a unique platform for observing quantum behavior of macroscopic objects. However, efforts towards realizing nonlinear behavior at the single photon level have been inhibited by the small size of the radiation…

Quantum Physics · Physics 2015-01-14 Xunnong Xu , Michael Gullans , Jacob M. Taylor

Nonlinear phenomena are inherent in most systems in nature. Second or higher-order harmonic generations, three-wave and four-wave mixing are typical phenomena in nonlinear optics. To obtain a nonzero signal for second-harmonic generation in…

Mesoscale and Nanoscale Physics · Physics 2019-04-29 Zhou Li , Franco Nori

Continuous-variable systems realized in high-coherence microwave cavities are a promising platform for quantum information processing. While strong dynamic nonlinear interactions are desired to implement fast and high-fidelity quantum…

Quantum Physics · Physics 2022-06-13 Timo Hillmann , Fernando Quijandría

The nonlinear scattering of a linear optical wave from a conservative soliton has been widely studied in optical fibers as a mechanism for nonlinear frequency conversion. Here we extend this analysis to consider the scattering of an…

High finesse Fabry-Perot(FP) cavity is a very important frequency reference for laser stabiliza- tion, and is widely used for applications such as precision measurement, laser cooling of ions or molecules. But the non-linear response of the…

Optics · Physics 2016-10-04 Wenhao Bu , Mengke Liu , Dizhou Xie , Bo Yan

We present a model for how frequency fluctuations comparable to the total cavity linewidth may arise in tunable and nonlinear microwave cavities, and how these fluctuations affect the measurement of scattering matrix elements. Applying this…

Mesoscale and Nanoscale Physics · Physics 2020-11-13 B. L. Brock , M. P. Blencowe , A. J. Rimberg

With a variety of realisations, optomechanics utilizes its light matter interaction to test fundamental physics. By coupling the phonons of a mechanical resonator to the photons in a high quality cavity, control of increasingly macroscopic…

Quantum Physics · Physics 2025-11-25 L. F. Deeg , D. Zoepfl , N. Diaz-Naufal , M. L. Juan , A. Metelmann , G. Kirchmair

A one-dimensional magnetophotonic crystal with a nonlinear defect placed either symmetrically or asymmetrically inside the structure is considered. Simultaneous effects of time-reversal nonreciprocity and nonlinear spatial asymmetry in the…

Optics · Physics 2012-07-03 Vladimir R. Tuz , Sergei V. Zhukovsky , Sergey L. Prosvirnin

We present a nonlinear multimode superconducting electroacoustic system, where the interplay between superconducting kinetic inductance and piezoelectric strong coupling establishes an effective Kerr nonlinearity among multiple acoustic…

Applied Physics · Physics 2022-09-14 Xu Han , Chang-Ling Zou , Wei Fu , Mingrui Xu , Yuntao Xu , Hong X. Tang

We theoretically study the coherent nonlinear response of electrons confined in semiconductor quantum wells under the effect of an electromagnetic radiation close to resonance with an intersubband transition. Our approach is based on the…

Mesoscale and Nanoscale Physics · Physics 2023-04-11 R. Cominotti , H. A. M. Leymann , J. Nespolo , J. -M. Manceau , M. Jeannin , R. Colombelli , I. Carusotto

We show that the use of a dispersion oscillating fiber in passive cavities significantly extend modulational instability to novel high-frequency bands, which also destabilize the branches of the steady response which are stable with…

We study a Fermi gas with strong, tunable interactions dispersively coupled to a high-finesse cavity. Upon probing the system along the cavity axis, we observe a strong optomechanical Kerr nonlinearity originating from the density response…