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The spectral form factor of quantum chaotic systems has the familiar `ramp $+$ plateau' form. Techniques to determine its form in the semiclassical or the thermodynamic limit have been devised, in both cases based on the average over an…

Statistical Mechanics · Physics 2024-10-16 Guy Bunin , Laura Foini , Jorge Kurchan

In finite-dimensional, chaotic, Lorenz-like wave-particle dynamical systems one can find diffusive trajectories, which share their appearance with that of laminar chaotic diffusion [Phys. Rev. Lett. 128, 074101 (2022)] known from delay…

Chaotic Dynamics · Physics 2023-01-18 David Müller-Bender , Rahil N. Valani , Günter Radons

An overview of chaos in laser diodes is provided which surveys experimental achievements in the area and explains the theory behind the phenomenon. The fundamental physics underpinning this behaviour and also the opportunities for…

Optics · Physics 2015-08-03 Marc Sciamanna , K. Alan Shore

In this set of lectures, we review briefly some of the recent developments in the study of the chaotic dynamics of nonlinear oscillators, particularly of damped and driven type. By taking a representative set of examples such as the…

chao-dyn · Physics 2009-10-30 M. Lakshmanan

We use random matrix theory to explore late-time chaos in supersymmetric quantum mechanical systems. Motivated by the recent study of supersymmetric SYK models and their random matrix classification, we consider the Wishart-Laguerre unitary…

High Energy Physics - Theory · Physics 2018-06-05 Nicholas Hunter-Jones , Junyu Liu

Fluids cooled to the liquid-vapor critical point develop system-spanning fluctuations in density that transform their visual appearance. Despite the rich phenomenology of this critical point, there is not currently an explanation of the…

Statistical Mechanics · Physics 2020-10-09 Moupriya Das , Jason R. Green

We analyze statistical probability distributions of intensities collected by diffraction techniques like Low-Energy Electron Diffraction. A simple theoretical model based in hard-sphere potentials and LEED formalism is investigated for…

Materials Science · Physics 2009-10-31 P. L. de Andres , J. A. Verges

We theoretically investigate optical injection in semiconductor ring lasers and disclose several dynamical regimes. Through numerical simulations and bifurcation continuation, two separate parameter regions in which two different…

Optics · Physics 2011-08-18 W. Coomans , S. Beri , G. Van der Sande , L. Gelens , J. Danckaert

Stochastically driven nonlinear processes limit the number of amplified modes in a natural system due to competitive mode interaction, which is accompanied by loss of coherence when increasing the complexity of system. Specifically, we find…

Optics · Physics 2016-07-21 Lei Gao , Tao Zhu , Stefan Wabnitz , Min Liu , Wei Huang

Blazar variability appears to be stochastic in nature. However, a possibility of low-dimensional chaos was considered in the past, but with no unambiguous detection so far. If present, it would constrain the emission mechanism by suggesting…

High Energy Astrophysical Phenomena · Physics 2021-02-09 O. Ostapenko , M. Tarnopolski , N. Żywucka , J. Pascual-Granado

We analyze the heating of interacting bosonic atoms in an optical lattice due to intensity fluctuations of the lasers forming the lattice. We focus in particular on fluctuations at low frequencies below the band gap frequency, such that the…

Quantum Gases · Physics 2013-03-19 Hannes Pichler , Johannes Schachenmayer , Andrew J. Daley , Peter Zoller

Amorphous dielectric materials have been known to host two-level systems (TLSs) for more than four decades. Recent developments on superconducting resonators and qubits enable detailed studies on the physics of TLSs. In particular,…

Quantum Physics · Physics 2021-09-23 J. H. Béjanin , C. T. Earnest , A. S. Sharafeldin , M. Mariantoni

We study the ultimate limits to the decoherence rate associated with dephasing processes. Fluctuating chaotic quantum systems are shown to exhibit extreme decoherence, with a rate that scales exponentially with the particle number, thus…

Quantum Physics · Physics 2019-01-15 Zhenyu Xu , Luis Pedro García-Pintos , Aurélia Chenu , Adolfo del Campo

Chaotic semiconductor lasers have been widely investigated for generating true random numbers with the merit of unpredictability relative to pseudorandom numbers generated by a computing process, especially for the lasers with external…

Many solid-state qubit systems are afflicted by low frequency noise mechanisms that operate along two perpendicular axes of the Bloch sphere. Depending on the qubit's control fields, either noise can be longitudinal or transverse to the…

Quantum Physics · Physics 2022-02-02 Guy Ramon , Łukasz Cywiński

The entrainment (or locking) phenomenon, by which an oscillator adapts its natural rhythm to an external periodic signal, is well-known in physics, chemistry, biology, etc.; however, controlling an stochastic nonlinear system with a…

Optics · Physics 2019-02-20 J Tiana-Alsina , C Quintero-Quiroz , M. C. Torrent , C Masoller

The mode dynamics of a random laser is investigated in experiment and theory. The laser consists of a ZnCdO/ZnO multiple quantum well with air-holes that provide the necessary feedback. Time-resolved measurements reveal multimode spectra…

Optics · Physics 2015-10-09 M. Höfner , H. -J. Wünsche , F. Henneberger

We consider time-periodically perturbed 1D Hamiltonian systems possessing one or more separatrices. If the perturbation is weak, then the separatrix chaos is most developed when the perturbation frequency lies in the logarithmically small…

Chaotic Dynamics · Physics 2015-05-13 S. M. Soskin , R. Mannella , O. M. Yevtushenko , I. A. Khovanov , P. V. E. McClintock

The photon statistics and bunching of a semiconductor laser with external optical feedback are investigated experimentally and theoretically. In a chaotic regime, the photon number distribution is measured and undergoes a transition from…

Quantum Physics · Physics 2018-04-04 Yanqiang Guo , Chunsheng Peng , Yulin Ji , Pu Li , Yuanyuan Guo , Xiaomin Guo

We theoretically study chaos synchronization of two lasers which are delay-coupled via an active or a passive relay. While the lasers are synchronized, their dynamics is identical to a single laser with delayed feedback for a passive relay…

Chaotic Dynamics · Physics 2010-11-22 V. Flunkert , O. D'Huys , J. Danckaert , I. Fischer , E. Schoell
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