Subterahertz Chaos Generation by Coupling a Superlattice to a Linear Resonator

Hramov, Alexander E.; Макаров, В. В.; Короновский, А. А.; Kurkin, Semen A.; Gaifullin, Marat; Alexeeva, Natalia V.; Alekseev, Kirill N.; Greenaway, M. T.; Fromhold, T.M.; Patanè, A.; Kusmartsev, F. V.; Maksimenko, Vladimir A.; Москаленко, О. И.; Balanov, A. G.

doi:10.1103/physrevlett.112.116603

Cited by 54 publications

(40 citation statements)

References 48 publications

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“…Parameter k B represents the Boltzmann constant and I n (x), where n = 0,1, is a modified Bessel function of the first kind. In our calculations we fix T = 4.2 K, and τ = 176 fs, whose value we chose close to one from recent experiments [20,46,47]. The dependence of the electron drift velocity v d on electric field strength F is illustrated in Fig.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Equations (7) and (8) yield the resonance frequency f Q = 1/(2π √ LC) and the quality factor Q = (1/R) √ L/C. In our calculations we use the circuit parameters from recent experiment [20]: R l = 0.1 , R = 0.5 , C = 3.0 pF, and L = 0.17 nH.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…In a single SL without external resonator, the periodic current oscillations appear when V 0 exceeds a certain threshold value ≈0.34 V. These oscillations remain periodic for any larger values of V 0 . However, connecting the SL to a resonator can cause additional instabilities eventually leading to generation of chaos [20]. In order to better illustrate the transition to chaos in the region framed by the dashed rectangle in Fig.…”

Section: Transition To Chaosmentioning

confidence: 99%

“…Similarly to Refs. [20,44], we chose N = 480 and x = 0.24 nm, which is small enough to approximate a continuum and provide converge of a numerical solution.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Recently we discovered that a resonant electrodynamic system connected to an SL can drive the latter to generate chaotic current oscillations, even if the SL alone is unable to generate chaos [20]. The aims of the present work are to study the dynamical mechanisms responsible for onset of chaos in an SL connected to a resonator and to investigate how the frequency band of chaotic output depends on the voltage applied to the system.…”

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confidence: 99%

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Intermittency route to chaos and broadband high-frequency generation in semiconductor superlattice coupled to external resonator

et al. 2015

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Section: Mathematical Modelmentioning

confidence: 99%

Section: Mathematical Modelmentioning

confidence: 99%

Section: Transition To Chaosmentioning

confidence: 99%

“…Similarly to Refs. [20,44], we chose N = 480 and x = 0.24 nm, which is small enough to approximate a continuum and provide converge of a numerical solution.…”

Section: Mathematical Modelmentioning

confidence: 99%

mentioning

confidence: 99%

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Intermittency route to chaos and broadband high-frequency generation in semiconductor superlattice coupled to external resonator

et al. 2015

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Magnetisation oscillations, boundary conditions and the Hofstadter butterfly in graphene flakes

et al. 2014

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New quantum oscillations in the magnetization of graphene flakes induced by magnetic fields, which depend on the shape of the flake, are described. At small values of the field they are due to the Aharonov-Bohm effect and with increasing field they are transformed into dHvA oscillations. The specific form of the dHvA oscillations is analyzed in terms of their energy spectrum, which has a form of Hofstadter's butterfly. Numerical results using a lattice tight-binding model and a continuum Dirac equation are presented and compared. Possible experiments to investigate the quantum oscillations in Moiré and graphene anti-dot superlattices are discussed.

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Ultrafast all‐optical order‐to‐chaos transition in silicon photonic crystal chips

Bruck

Liu

Muskens

et al. 2016

Laser & Photonics Reviews

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The interaction of light with nanostructured materials provides exciting new opportunities for investigating classical wave analogies of quantum phenomena. A topic of particular interest forms the interplay between wave physics and chaos in systems where a small perturbation can drive the behavior from the classical to chaotic regime. Here, we report an all-optical laser-driven transition from order to chaos in integrated chips on a silicon photonics platform. A square photonic crystal microcavity at telecom wavelengths is tuned from an ordered into a chaotic regime through a perturbation induced by ultrafast laser pulses in the ultraviolet range. The chaotic dynamics of weak probe pulses in the near infrared is characterized for different pump-probe delay times and at various positions in the cavity, with high spatial accuracy. Our experimental analysis, confirmed by numerical modelling based on random matrices, demonstrates that nonlinear optics can be used to control reversibly the chaotic behavior of light in optical resonators.Deterministic chaos is characterized by exponential sensitivity to the initial conditions and is an ubiquitous phenomenon observed in different systems, including laser diodes, electronic circuits, fluids, chemical reactions, brains and beyond [1][2][3][4][5][6]. The dynamics of the order-to-chaos transition in physical systems has been studied in a variety of platforms [3,[7][8][9][10][11][12] and is of substantial importance, both for fundamental physics and practical applications including secure communication [13], random number generation [14], data storage [15,16], random lasers [17] and energy harvesting [18,19]. The transition from ordered to chaotic regimes is of particular relevance in the investigation of quantum chaos, which explores the relationship between quantum mechanics and classical chaos. Although there are many theoretical studies in the quantum order-to-chaos transition [4,15,[20][21][22][23], experimental demonstrations are hampered by the difficulty to control accurately the system parameters and are limited to a few examples, e.g. in rotational nuclei, intense laser beams and mesoscopic electron devices [24][25][26].The isomorphisms between Schrödinger and Maxwell equations allows to investigate quantum phenomena using classical waves. In this context, classical waves such as light or sound form a versatile playground for investigating effects of quantum transport, including long-range correlations and Anderson localization [27]. Classical waves can be studied in simple and compact systems that * adf10@st-andrews.ac.uk show order-to-chaos transitions and thus give further insight to such transitions in the quantum regime [28].Here, we experimentally demonstrate ultrafast orderto-chaos transitions in an integrated photonic system comprised of a square optical resonator based on siliconon-insulator (SOI) photonic crystal cavities (PCCs). These PCCs have been intensively studied and show a classical mode spectrum under normal conditions [18]. However, similar to ...

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Subterahertz Chaos Generation by Coupling a Superlattice to a Linear Resonator

Cited by 54 publications

References 48 publications

Intermittency route to chaos and broadband high-frequency generation in semiconductor superlattice coupled to external resonator

Intermittency route to chaos and broadband high-frequency generation in semiconductor superlattice coupled to external resonator

Magnetisation oscillations, boundary conditions and the Hofstadter butterfly in graphene flakes

Ultrafast all‐optical order‐to‐chaos transition in silicon photonic crystal chips

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