Query: Superlattice chaos

Candidate papers:

author_names: W Liu

Yin Zhizhen

Xiaoming Chen

Zhenyun Peng

Song Helun

Liu Peihua

Xinhai Tong

Yaohui Zhang
title: A secret key distribution technique based on semiconductor superlattice chaos devices
year: 2018

abstract: Resonances in quantum transport are observed through chaos assisted tunneling with a quantum gas in a shaken optical lattice. The field of quantum simulation, which aims at using a tunable quantum system to simulate another, has been developing fast in the past years as an alternative to the all purpose quantum computer. So far, most efforts in this domain have been directed to either fully regular or fully chaotic systems. Here, we focus on the intermediate regime, where regular orbits are surrounded by a large sea of chaotic trajectories. We observe a quantum chaos transport mechanism, called chaos assisted tunneling, that translates in sharp resonances of the tunneling rate and provides previously unexplored possibilities for quantum simulation. More specifically, using Bose Einstein condensates in a driven optical lattice, we experimentally demonstrate and characterize these resonances. Our work paves the way for quantum simulations with long range transport and quantum control through complexity.
author_names: M Arnal

G Chatelain

M Martinez

Niels Dupont

Olivier Giraud

Denis Ullmo

Bertrand Georgeot

Gabriel Lemari'e

Juliette Billy

D Guery-Odelin
title: Chaos assisted tunneling resonances in a synthetic Floquet superlattice
venue: Science Advances
year: 2020

abstract: Noise enhanced chaos in a doped, weakly coupled GaAs/Al_{0.45}Ga_{0.55}As superlattice has been observed at room temperature in experiments as well as in the results of the simulation of nonlinear transport based on a discrete tunneling model. When external noise is added, both the measured and simulated current versus time traces contain irregularly spaced spikes for particular applied voltages, which separate a regime of periodic current oscillations from a region of no current oscillations at all. In the voltage region without current oscillations, the electric field profile consist of a low field domain near the emitter contact separated by a domain wall consisting of a charge accumulation layer from a high field regime closer to the collector contact. With increasing noise amplitude, spontaneous chaotic current oscillations appear over a wider bias voltage range. For these bias voltages, the domain boundary between the two electric field domains becomes unstable and very small current or voltage fluctuations can trigger the domain boundary to move toward the collector and induce chaotic current spikes. The experimentally observed features are qualitatively very well reproduced by the simulations. Increased noise can consequently enhance chaotic current oscillations in semiconductor superlattices.
author_names: Zhizhen Yin

Helun Song

Yaohui Zhang

Miguel Ruiz-Garcia

Manuel Carretero

Luis L Bonilla

Klaus Biermann

Holger T Grahn
title: Noise enhanced chaos in a weakly coupled GaAs/(Al,Ga)As superlattice.
venue: Physical review. E
year: 2017

abstract: When quantized, traces of classically chaotic single particle systems include eigenvalue statistics and scars in eigenfuntions. Since 2001, many theoretical and experimental works have argued that classically chaotic single electron dynamics influences and controls collective electron transport. For transport in semiconductor superlattices under tilted magnetic and electric fields, these theories rely on a reduction to a one dimensional self consistent drift model. A two dimensional theory based on self consistent Boltzmann transport does not support that single electron chaos influences collective transport. This theory agrees with existing experimental evidence of current self oscillations, predicts spontaneous collective chaos via a period doubling scenario, and could be tested unambiguously by measuring the electric potential inside the superlattice under a tilted magnetic field.
author_names: Luis L Bonilla

Manuel Carretero

Antigona Segura
title: Two dimensional collective electron magnetotransport, oscillations, and chaos in a semiconductor superlattice.
venue: Physical review. E
year: 2017

abstract: We investigate the effects of a linear resonator on the high frequency dynamics of electrons in devices exhibiting negative differential conductance. We show that the resonator strongly affects both the dc and ac transport characteristics of the device, inducing quasiperiodic and high frequency chaotic current oscillations. The theoretical findings are confirmed by experimental measurements of a GaAs/AlAs miniband semiconductor superlattice coupled to a linear microstrip resonator. Our results are applicable to other active solid state devices and provide a generic approach for developing modern chaos based high frequency technologies including broadband chaotic wireless communication and superfast random number generation.
author_names: Alexander E Hramov

Vladimir V Makarov

Alexey A Koronovskii

Semen A Kurkin

Marat B Gaifullin

Natalia V Alexeeva

Kirill N Alekseev

M T Greenaway

T Mark Fromhold

Amalia Patane

Feodor V Kusmartsev

Vladimir A Maksimenko

Olga I Moskalenko

Alexander G Balanov
title: Subterahertz chaos generation by coupling a superlattice to a linear resonator.
venue: Physical review letters
year: 2014

abstract: We investigate the onset of broadband microwave chaos in the miniband semiconductor superlattice coupled to an external resonator. Our analysis shows that the transition to chaos, which is confirmed by calculation of Lyapunov exponents, is associated with the intermittency scenario. The evolution of the laminar phases and the corresponding Poincare maps with variation of a supercriticality parameter suggest that the observed dynamics can be classified as type I intermittency. We study the spatiotemporal patterns of the charge concentration and discuss how the frequency band of the chaotic current oscillations in semiconductor superlattice depends on the voltage applied.
author_names: Alexander E Hramov

Vladimir V Makarov

Vladimir A Maximenko

Alexey A Koronovskii

Alexander G Balanov
title: Intermittency route to chaos and broadband high frequency generation in semiconductor superlattice coupled to external resonator.
venue: Physical review. E, Statistical, nonlinear, and soft matter physics
year: 2015

abstract: The transition to chaos in a semiconductor superlattice coupled to an external resonator is studied. It is shown that the transition to chaos proceeds through intermittency. It is found that the system exhibits broadband generation regimes, which is of direct interest for the practical use of nanostructures in data transmission systems.
author_names: Vladimir V Makarov

Alexander E Hramov

Alexey A Koronovskii

Olga I Moskalenko

Vladimir A Maksimenko

Kirill N Alekseev

Alexander G Balanov
title: Transition to chaos and chaotic generation in a semiconductor superlattice coupled to an external resonator
year: 2014

abstract: The transition to chaos in semiconductor superlattice coupled to external resonant system had been investigated. We have shown that transition to chaos goes through type I intermittency in the system under study. This fact is approved by dependence of the mean laminar phase length versus criticality parameter, and form of Poincare mapping.
author_names: Vladimir V Makarov

Alexander E Hramov

Aleksei Koronovskii

Vladimir A Maximenko

Alexander G Balanov
title: Transition to chaos in semiconductor superlattice coupled to external resonator
venue: 2014 24th International Crimean Conference Microwave Telecommunication Technology
year: 2014

abstract: The chaos in Bose Einstein condensate (BEC) in a 1 D tilted optical superlattice potential is studied numerically in this paper. Numerical analysis using the Gross Pitaevskii (G P) equation for the system with attractive interaction reveals that as the tilt of the optical superlattice potential is increased the chaos in the BEC increases. This makes the system more unstable and the phase space orbit increases. The chaos increases as the secondary optical lattice potential increases.
author_names: Priyanka Verma

A Bhattacherjee

Man Mohan
title: Chaos in BEC trapped in tilted optical superlattice potential with attractive interaction
year: 2012

abstract: We have shown that the application of modulating the secondary lattice is an efficient route to suppressing the generation of chaotic traveling waves of a Bose Einstein Condensate with attractive interatomic interaction loaded into a moving optical superlattice consisting of two lattices. With the Melnikov method, we obtain the optimal value of the relative phase between the two lattice harmonics for the control of chaos. We also find that the regularization route as the potential depth of the secondary lattice is varied and fairly rich, including the period doubling bifurcations.
author_names: Luo Xiao-bing

Xia Xiu-wen

Zhang Xiaofei
title: Suppression of Chaos in a Bose Einstein Condensate Loaded into a Moving Optical Superlattice Potential
year: 2010