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The harmonic oscillator is an essential tool, widely used in all branches of Physics in order to understand more realistic systems, from classical to quantum and relativistic regimes. We know that the harmonic oscillator is integrable in…

Chaotic Dynamics · Physics 2018-11-15 Ronaldo S. S. Vieira , Tatiana A. Michtchenko

We present a novel laser mode-locking scheme and discuss its unusual properties and feasibility using a theoretical model. A large set of single-frequency continuous-wave lasers oscillate by amplification in spatially separated gain media.…

Optical lattices formed by interfering laser beams are widely used to trap and manipulate atoms for quantum simulation, metrology, and computation. To stabilize optical lattices in experiments, it is usually challenging to implement…

Quantum Physics · Physics 2026-04-14 Yirong Wang , Xiaoyu Dai , Xue Zhao , Guangren Sun , Kuiyi Gao , Wei Zhang

Nonlinear isolated and coupled oscillators are extensively studied as prototypical nonlinear dynamics models. Much attention has been devoted to oscillator synchronization or the lack thereof. Here, we study the synchronization and…

Pattern Formation and Solitons · Physics 2023-01-04 Golan Bel , Boian S. Alexandrov , Alan R. Bishop , Kim Ø. Rasmussen

To obtain a high degree of long-term length stabilisation of an optical reference cavity, its free-spectral range is locked by means of an accurate and stable frequency synthesizer. The locking scheme is twofold: a laser is locked on the…

We study the phenomenon of synchronization in pairs of doubly clamped, mechanically coupled silicon micro-oscillators. A continuous-wave laser beam is used to drive the micro-beams into limit cycle oscillations and to detect the…

Pattern Formation and Solitons · Physics 2022-12-27 Aditya Bhaskar , Mark Walth , Richard H. Rand , Alan T. Zehnder

Ultrashort pulsed lasers, operating through the phenomenon of mode-locking, have played a significant role in many facets of our society for 50 years, for example in the way we exchange information, measure and diagnose diseases, process…

Acoustic cavitation bubbles are known to exhibit highly nonlinear and unpredictable chaotic dynamics. Their inevitable role in applications like sonoluminescence, sonochemistry and medical procedures suggests that their dynamics be…

Chaotic Dynamics · Physics 2008-01-15 Sohrab Behnia , Amin Jafari , Wiria Soltanpoor , Okhtai Jahanbakhsh

This contribution focuses on phase-noise added during frequency conversion in low-level radio frequency (LLRF) control systems. The stability of beams' parameters in linear accelerators depends on the stability of amplitude and phase of the…

Instrumentation and Detectors · Physics 2018-06-26 Igor Rutkowski , Krzysztof Czuba

Synchronization of self-sustained oscillators under fixed-frequency and amplitude forcing is well understood, but how time-varying forcing mangles phase locking has been much less explored. Theory predicts that slow, deterministic…

Chaotic Dynamics · Physics 2026-01-07 Zhenwei Xu , Ulrich Kuhl , Nicolas Noiray

Femtosecond time-resolved x-ray diffraction is employed to study the dynamics of the periodic lattice distortion (PLD) associated with the charge-density-wave (CDW) in K0.3MoO3. Using a multi-pulse scheme we show the ability to extend the…

Fifty years after the invention of the laser diode and fourty years after the report of the butterfly effect - i.e. the unpredictability of deterministic chaos, it is said that a laser diode behaves like a damped nonlinear oscillator. Hence…

Optics · Physics 2014-07-23 Martin Virte , Krassimir Panajotov , Hugo Thienpont , Marc Sciamanna

Achieving precise and adjustable control over laser frequency is an essential requirement in numerous applications such as precision spectroscopy, quantum control, and sensing. In many such applications it is desired to stabilize a laser…

Applied Physics · Physics 2024-05-22 Heleni Krelman , Ori Nefesh , Kfir Levi , Douglas G. Bopp , Songbai Kang , John E. Kitching , Liron Stern

Stabilized optical frequency combs (OFC) can have remarkable levels of coherence across their broad spectral bandwidth. We study the scaling of the optical noise across hundreds of nanometers of optical spectra. We measure the residual…

Optics · Physics 2017-03-09 Qudsia Quraishi , Scott Diddams , Leo Hollberg

Statistically distinguishing between phase-coherent and noncoherent chaotic dynamics from time series is a contemporary problem in nonlinear sciences. In this work, we propose different measures based on recurrence properties of recorded…

Chaotic Dynamics · Physics 2012-02-23 Yong Zou , Reik V. Donner , Jürgen Kurths

In-phase synchronization is a special case of synchronous behavior when coupled oscillators have the same phases for any time moments. Such behavior appears naturally for nearly identical coupled limit-cycle oscillators when the coupling…

Adaptation and Self-Organizing Systems · Physics 2019-09-24 Viktor Novičenko , Irmantas Ratas

Driven quantum nonlinear oscillators, while essential for quantum technologies, are generally prone to complex chaotic dynamics that fall beyond the reach of perturbative analysis. By focusing on subharmonic bifurcations of a harmonically…

Quantum Physics · Physics 2023-04-18 Michiel Burgelman , Pierre Rouchon , Alain Sarlette , Mazyar Mirrahimi

This paper concerns the reliability of a pair of coupled oscillators in response to fluctuating inputs. Reliability means that an input elicits essentially identical responses upon repeated presentations regardless of the network's initial…

Chaotic Dynamics · Physics 2007-08-23 Kevin K. Lin , Eric Shea-Brown , Lai-Sang Young

For noisy self-sustained oscillators, both reliability, stability of a response to a noisy driving, and coherence understood in the sense of constancy of oscillation frequency belong to the main characteristics. Though the both…

Statistical Mechanics · Physics 2010-07-27 Denis S. Goldobin

We theoretically and experimentally investigate the chaotic regime of optical frequency combs generated in nonlinear ring microresonators pumped with continuous wave light. We show that the chaotic regime reveals itself, in an apparently…

Optics · Physics 2015-06-12 Andrey B. Matsko , Wei Liang , Anatoliy A. Savchenkov , Lute Maleki