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Frequency comb spectroscopy has significantly advanced molecular spectroscopy across scientific research and diverse applications. Among its key performance metrics especially for time-resolved studies, sensitivity and measurement speed are…

We investigate a general system of two coupled harmonic oscillators with cubic nonlinearity. Without damping, the system is Hamiltonian, with the origin as an elliptic equilibrium characterized by two distinct linear frequencies. To…

Dynamical Systems · Mathematics 2024-10-01 Laura Di Gregorio , Walter Lacarbonara

Photonic integrated circuits that exploit nonlinear optics in order to generate and process signals all-optically have achieved performance far superior to that possible electronically - particularly with respect to speed. We review the…

Kerr frequency combs are optical signals consisting of a multitude of equally spaced excited modes in frequency space. They are generated by converting a continuous-wave pump laser within an optical microresonator. It has been observed that…

Analysis of PDEs · Mathematics 2025-02-06 Lukas Bengel , Björn de Rijk

We investigate the spatial quantum noise properties of the one dimensional transverse pattern formation instability in intra-cavity second-harmonic generation. The Q representation of a quasi-probability distribution is implemented in terms…

Quantum Physics · Physics 2007-05-23 M. Bache , P. Scotto , R. Zambrini , M. San Miguel , M. Saffman

Recent experiments on quantum behavior in microfabricated solid-state systems suggest tantalizing connections to quantum optics. Several of these experiments address the prototypical problem of cavity quantum electrodynamics: a two-level…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. K. Irish , J. Gea-Banacloche , I. Martin , K. C. Schwab

We investigate the problem of two-level atoms driven by an ultrashort pulse train in the frequency domain. At low intensity regime, we obtain a perturbative analytical solution that allows us to discuss the role of the mode number of the…

Atomic Physics · Physics 2013-06-18 Marco P. Moreno , Sandra S. Vianna

Dual comb spectroscopy allows for high-resolution spectra to be measured over broad bandwidths, but an essential requirement for coherent integration is the availability of a phase reference. Usually, this means that the combs' phase and…

Optics · Physics 2016-06-01 David Burghoff , Yang Yang , Qing Hu

Nonlinear optics has become the workhorse for countless applications in classical and quantum optics, from optical bistability to single photon pair generation. However, the intrinsic weakness of optical nonlinearity has meant that large…

We propose a method to generate stabilized radio-frequency polarization modulation based on optical frequency combs. Two pulse trains with the same repetition rate and different offset frequencies generate arbitrary polarization states that…

Optics · Physics 2020-08-26 Ruixue Zhang , Yiming Gong , Matthew W. Day , Dong Sun , Steven T. Cundiff

Optical frequency combs represent a revolutionary technology for high precision spectroscopy due to their narrow linewidths and precise frequency spacing. Generation of such combs in the mid-infrared (IR) spectral region (2-20 um) is of…

We describea theoretical analysis of the nonlinear dynamics of third-harmonic generation ($\omega\to3\omega$) via Kerr ($\chithree$) nonlinearities in a resonant cavity with resonances at both $\omega$ and $3\omega$. Such a doubly resonant…

We investigate neuronal excitability in the Hodgkin-Huxley model under temporal interference (TI) stimulation in a previously unexplored sub-Hz resonant regime and uncover a striking nonlinear response that we term 'multi-tongue frequency…

Pattern Formation and Solitons · Physics 2026-01-21 Madhurendra Mishra , Zhen Qi , Adarsh Ganesan

Microresonator frequency combs, essential for future integrated optical systems, rely on dissipative Kerr solitons generated in a single microresonator to achieve coherent frequency comb generation. Recent advances in the nanofabrication of…

Pattern Formation and Solitons · Physics 2025-08-14 Savyaraj Deshmukh , Aleksandr Tusnin , Alexey Tikan , Tobias J. Kippenberg , Tobias M. Schneider

Dissipative Kerr solitons (DKSs) intrinsically exhibit two degrees of freedom through their group and phase rotation velocity. Periodic extraction of the DKS into a waveguide produces a pulse train and yields the resulting optical frequency…

Recently developed techniques for generating precisely equidistant optical frequencies over broad wavelength ranges are revolutionizing precision physical measurement [1-3]. These frequency "combs" are produced primarily using relatively…

Generating magnon frequency combs (MFCs) with tunable spacing via a single-frequency driving is crucial for practical applications but it typically relies on complex spin textures like skyrmions or vortices. Here, we theoretically and…

Other Condensed Matter · Physics 2025-12-18 Hao Zhao , Qianjun Zheng , Peng Yan

We investigate the induced modulation instability in second-harmonic generation beyond the early stage of the linearized growth of the modulation. We find a regime of recurrence (quasi-periodic conversion and back-conversion between the…

Microresonator-based optical frequency combs have been a topic of extensive research during the last few years. Several theoretical models for the comb generation have been proposed; however, they do not comprehensively address experimental…

Optics · Physics 2015-06-16 Pascal Del'Haye , Scott B. Papp , Scott A. Diddams

Recent advancements in superconducting circuits have enabled the experimental study of collective behavior of precisely controlled intermediate-scale ensembles of qubits. In this work, we demonstrate an atomic frequency comb formed by…

Quantum Physics · Physics 2025-02-13 E. S. Redchenko , M. Zens , M. Zemlicka , M. Peruzzo , F. Hassani , H. S. Dhar , D. O. Krimer , S. Rotter , J. M. Fink
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