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A von-Neumann-like photonic processor and its application in studying quantum signature of chaos

Light(Science & Applications) 2024年第4期13卷 672-681页

作者： Shang Yu Wei Liu Si-Jing Tao Zhi-Peng Li Yi-Tao Wang Zhi-Peng Zhong Raj BPatel Yu Meng Yuan-Ze Yang Zhao-An Wang Nai-Jie Guo Xiao-Dong Zeng Zhe Chen Liang Xu Ning Zhang Xiao Liu Mu Yang Wen-Hao Zhang Zong-Quan Zhou Jin-Shi Xu Jian-Shun Tang Yong-Jian Han Chuan-Feng Li Guang-Can Guo CAS Key Laboratory of Quantum Information University of Science and Technology of ChinaHefei 230026China. CAS Center for Excellence in Quantum Information and Quantum Physics University of Science and Technology of ChinaHefei 230026China. Hefei National Laboratory University of Science and Technology of ChinaHefei 230088China. Research Center for Quantum Sensing Zhejiang LabHangzhou 310000China. Quantum Optics and Laser Science Blackett LaboratoryImperial College LondonPrince Consort RdLondon SW72AZUK. Clarendon Laboratory Department of PhysicsOxford UniversityParks Road OX13PUOxfordUK

Photonic quantum computation plays an important role and offers unique advantages.Two decades after the milestone work of Knill-Laflamme-Milburn,various architectures of photonic processors have been proposed,and quantum advantage over classical computers has also been demonstrated.It is now the opportune time to apply this technology to real-world applications.However,at current technology level,this aim is restricted by either programmability in bulk optics or loss in integrated optics for the existing architectures of processors,for which the resource cost is also a problem.Here we present a von-Neumann-like architecture based on temporal-mode encoding and looped structure on table,which is capable of multimode-universal programmability,resource-efficiency,phasestability and software-scalability.In order to illustrate these merits,we execute two different programs with varying resource requirements on the same processor,to investigate quantum signature of chaos from two aspects:the signature behaviors exhibited in phase space(13 modes),and the Fermi golden rule which has not been experimentally studied in quantitative way before(26 modes).The maximal program contains an optical interferometer network with 1694 freely-adjustable phases.Considering current state-of-the-art,our architecture stands as the most promising candidate for real-world applications.

关键词： quantum signature chaos

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Energy spreading,equipartition,and chaos in lattices with non-central forces

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Chinese Physics B 2022年第2期31卷 119-128页

作者：陈永静宿阳董国香刘丽乐葛智刚王小保 China Nuclear Data Center China Institute of Atomic EnergyBeijing 102413China School of Science Huzhou UniversityHuzhou 313000China

We numerically study a one-dimensional,nonlinear lattice model which in the linear limit is relevant to the study of bending(flexural)waves.In contrast with the classic one-dimensional mass-spring system,the linear dispersion relation of the considered model has different characteristics in the low frequency limit.By introducing disorder in the masses of the lattice particles,we investigate how different nonlinearities in the potential(cubic,quadratic,and their combination)lead to energy delocalization,equipartition,and chaotic dynamics.We excite the lattice using single site initial momentum excitations corresponding to a strongly localized linear mode and increase the initial energy of excitation.Beyond a certain energy threshold,when the cubic nonlinearity is present,the system is found to reach energy equipartition and total delocalization.On the other hand,when only the quartic nonlinearity is activated,the system remains localized and away from equipartition at least for the energies and evolution times considered here.However,for large enough energies for all types of nonlinearities we observe chaos.This chaotic behavior is combined with energy delocalization when cubic nonlinearities are present,while the appearance of only quadratic nonlinearity leads to energy localization.Our results reveal a rich dynamical behavior and show differences with the relevant Fermi–Pasta–Ulam–Tsingou model.Our findings pave the way for the study of models relevant to bending(flexural)waves in the presence of nonlinearity and disorder,anticipating different energy transport behaviors.

关键词： Anderson localization energy spreading energy equipartition chaos

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Memristive cyclic three-neuron-based neural network with chaos and global coexisting attractors

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Science China(Technological Sciences) 2022年第11期65卷 2582-2592页

作者： BAO Han CHEN ZhuGuan CAI JianMing XU Quan BAO BoCheng School of Microelectronics and Control Engineering Changzhou UniversityChangzhou 213164China

It has been documented that a cyclic three-neuron-based neural network with resistive synaptic weights cannot exhibit chaos.Towards this end,a memristive cyclic three-neuron-based neural network is presented using a memristive weight to substitute a resistive weight.The memristive cyclic neural network always has five equilibrium points within the parameters of interest,and their stability analysis shows that they are one index-2 saddle-focus,two index-1 saddle-foci,and two stable node-foci,respectively.Dynamical analyses are performed for the memristive cyclic neural network by several numerical simulation methods.The results demonstrate that the memristor synapse-based neural network with the simplest cyclic connection can not only exhibit chaos,but also present global coexisting attractors composed of stable points and unstable periodic or chaotic orbits under different initial conditions.Besides,with the designed implementation circuit,Multisim circuit simulations and hardware experiments are executed to validate the numerical simulations.

关键词： memristive weight cyclic neural network chaos coexisting attractors hardware experiment

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Cavity optomechanical chaos

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Fundamental Research 2023年第1期3卷 63-74页

作者： Gui-Lei Zhu Chang-Sheng Hu Ying Wu Xin-You Lü School of Physics Huazhong University of Science and TechnologyWuhan 430074China

Cavity optomechanics provides a powerful platform for observing many interesting classical and quantum nonlinear phenomena due to the radiation-pressure coupling between its optical and mechanical modes.In particular,the chaos induced by optomechanical nonlinearity has been of great concern because of its importance both in fundamental physics and potential applications ranging from secret information processing to optical communications.This review focuses on the chaotic dynamics in optomechanical systems.The basic theory of general nonlinear dynamics and the fundamental properties of chaos are introduced.Several nonlinear dynamical effects in optomechanical systems are demonstrated.Moreover,recent remarkable theoretical and experimental efforts in manipulating optomechanical chaotic motions are addressed.Future perspectives of chaos in hybrid systems are also discussed.

关键词： Cavity optomechanics chaos Nonlinear dynamics Bistability Period-doubling bifurcation

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A dynamical approach to generate chaos in a micromechanical resonator

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Microsystems & Nanoengineering 2021年第1期7卷 161-171页

作者： Martial Defoort Libor Rufer Laurent Fesquet Skandar Basrour Univ.Grenoble Alpes CNRSGrenoble INPTIMA38000 GrenobleFrance

Chaotic systems,presenting complex and nonreproducible dynamics,may be found in nature,from the interaction between planets to the evolution of weather,but can also be tailored using current technologies for advanced signal processing.However,the realization of chaotic signal generators remains challenging due to the involved dynamics of the underlying physics.In this paper,we experimentally and numerically present a disruptive approach to generate a chaotic signal from a micromechanical resonator.This technique overcomes the long-established complexity of controlling the buckling in micro/nanomechanical structures by modulating either the amplitude or the frequency of the driving force applied to the resonator in the nonlinear regime.The experimental characteristic parameters of the chaotic regime,namely,the Poincarésections and Lyapunov exponents,are directly comparable to simulations for different configurations.These results confirm that this dynamical approach is transposable to any kind of micro/nanomechanical resonator,from accelerometers to microphones.We demonstrate a direct application exploiting the mixing properties of the chaotic regime by transforming an off-the-shelf microdiaphragm into a true random number generator conforming to the National Institute of Standards and Technology specifications.The versatility of this original method opens new paths to combine the unique properties of chaos with the exceptional sensitivity of microstructures,leading to emergent microsystems.

关键词： chaotic chaos dynamical

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chaos detection in SIR model with modified Beddington–De Angelis type incidence rate and saturated treatment

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International Journal of Modeling, Simulation, and Scientific Computing 2021年第6期12卷 56-74页

作者： Shikha Jain Sachin Kumar Department of Mathematics University of Delhi Delhi 110007India

In this paper, we construct an SIR epidemic model with a modified Beddington–DeAngelis type incidence rate and saturated treatment rate. We modify the incidence rateto incorporate the isolation of infected individuals after detection, and separation of somesusceptible individuals from the rest to avoid the infection, without an increase in thenumber of classes. We find that the system has a unique disease-free equilibrium (DFE)which is locally asymptotically stable when the reproduction number is less than unity.The multiple endemic equilibria may exist irrespective of the basic reproduction number.The existence of bistability is encountered. Supercritical transcritical (forward), as wellas subcritical transcritical (backward) bifurcation, may occur at R0 = 1 where contactrate, β = β∗ acts as the bifurcation parameter. Therefore, DFE need not be globallystable. The conditions for the existence of Andronov–Hopf bifurcation are deduced withmaximum treatment capacity, c = c0 as the bifurcation parameter. The impacts of isolation of confirmed infected cases and separation of some susceptible from rest are studiednumerically as well as the effect of saturation in treatment. The existence of chaoticbehavior is deduced by showing the maximum Lyapunov exponent to be positive as wellas the sensitivity to initial conditions. The computation of the Kalpan–Yorke dimensionto be fractional confirms the existence of fractal-type strange attractor. The positiveKolmogorov–Sinai entropy further strengthens the claim of the existence of chaos.

关键词： Beddington–De Angelis type incidence rate saturated treatment stability bifurcation Lyapunov exponent chaos

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A Self-Adaptive Algorithm of the Clean Numerical Simulation(CNS)for chaos

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Advances in Applied Mathematics and Mechanics 2023年第5期15卷 1191-1215页

作者： Shijie Qin Shijun Liao State Key Laboratory of Ocean Engineering Shanghai 200240China Center of Marine Numerical Experiment School of Naval ArchitectureOcean and Civil EngineeringShanghai Jiao Tong UniversityShanghai 200240China State Key Laboratory of Plateau Ecology and Agriculture XiningQinghai 810018China School of Hydraulic and Electric Engineering Qinghai UniversityXiningQinghai 810018China

The background numerical noise#0 is determined by the maximum of truncation error and round-off error.For a chaotic system,the numerical error#(t)grows exponentially,say,#(t)=#0exp(kt),where k>0 is the so-called noise-growing exponent.This is the reason why one can not gain a convergent simulation of chaotic systems in a long enough interval of time by means of traditional algorithms in double precision,since the background numerical noise#0 might stop decreasing because of the use of double precision.This restriction can be overcome by means of the clean numerical simulation(CNS),which can decrease the background numerical noise#0 to any required tiny level.A lot of successful applications show the novelty and validity of the CNS.In this paper,we further propose some strategies to greatly increase the computational efficiency of the CNS algorithms for chaotic dynamical systems.It is highly suggested to keep a balance between truncation error and round-off error and besides to progressively enlarge the background numerical noise#0,since the exponentially increasing numerical noise#(t)is much larger than it.Some examples are given to illustrate the validity of our strategies for the CNS.

关键词： chaos Clean Numerical Simulation(CNS) self-adaptive algorithm computational efficiency

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Ultra-chaos:an Insurmountable Objective Obstacle of Reproducibility and Replication

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Advances in Applied Mathematics and Mechanics 2022年第4期14卷 799-815页

作者： Shijun Liao Shijie Qin State Key Laboratory of Ocean Engineering Shanghai 200240China Center of Marine Numerical Experiment School of Naval ArchitectureOcean and Civil EngineeringShanghai Jiao Tong UniversityShanghai 200240China School of Physics and Astronomy Shanghai Jiao Tong UniversityShanghai 200240China

In this paper,a new concept,i.e.,ultra-chaos,is proposed for the first time.Unlike a normal-chaos,statistical properties such as the probability density functions(PDF)of an ultra-chaos are sensitive to tiny disturbances.We illustrate that ultra-chaos is widely existed and thus has general scientific meanings.It is found that statistical non-reproducibility is an inherent property of an ultra-chaos so that an ultra-chaos is at a higher-level of disorder than a normal-chaos.Thus,it is impossible in practice to replicate experimental/numerical results of an ultra-chaos even in statistical meanings,since random environmental noises always exist and are out of control.Thus,the ultra-chaos should be an insurmountable obstacle of reproducibility and replicability.Similar to Gödel’s incompleteness theorem,such kind of“incompleteness of reproducibility”reveals a limitation of our traditional scientific paradigm based on reproducible experiments,which can be traced back to Galileo.The ultra-chaos opens a new door and possibility to study chaos theory,turbulence theory,computational fluid dynamics(CFD),the statistical significance,reproducibility crisis,and so on.

关键词： chaos statistical stability reproducibility and replication

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chaos and Periodicities in Solar Flare Index from Kandilli Observatory during 1976–2014

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Research in Astronomy and Astrophysics 2020年第7期20卷 177-186页

作者： Soumya Roy Amrita Prasad Koushik Ghosh Subhash Chandra Panja Sankar Narayan Patra Department of Applied Electronics and Instrumentation Engineering Haldia Institute of TechnologyHaldiaMidnapore(E)-721657West BengalIndia Department of Mechanical Engineering Jadavpur UniversityKolkata-700032West BengalIndia Department of Mathematics University Institute of TechnologyThe University of BurdwanBurdwan-713104West BengalIndia Department of Instrumentation and Electronics Engineering Jadavpur UniversityKolkata 700106West BengalIndia

The Solar Flare Index is regarded as one of the most important solar indices in the field of solarterrestrial research. It has the maximum effect on Earth of all other solar activity indices and is being considered for describing the short-lived dynamo action inside the Sun. This paper attempts to study the short as well as long-term temporal fluctuations in the chromosphere region of the Sun using the Solar Flare Index. The daily Solar Flare Index for Northern, Southern Hemisphere and Total Disk are considered for a period from January 1976 to December 2014(total 14 245 days) for chaotic as well as periodic analysis.The 0–1 test has been employed to investigate the chaotic behavior associated with the Solar Flare Index.This test revealed that the time series data is non-linear and multi-periodic in nature with deterministic chaotic features. For periodic analysis, the Raleigh Power Spectrum algorithm has been used for identifying the predominant periods within the data along with their confidence score. The well-known fundamental period of 27 days and 11 years along with their harmonics are well affirmed in our investigation with a period of 28 days and 10.77 years. The presence of 14 days and 7 days periods in this investigation states the short-lived action inside the Sun. Our investigation also demonstrates the presence of other mid-range periods including the famous Rieger type period which are very much confirming the results obtained by other authors using various solar activity indicators.

关键词： chaos method:data analysis Sun:activity Sun:flares Sun:fundamental parameters Sun:rotation

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Order from chaos: Self-Assembly of Nanoprism from a Mixture of Tetratopic Terpyridine-Porphyrin Conformers

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Chinese Journal of Chemistry 2019年第11期37卷 1167-1173页

作者： Alexander Filosa Heng Wang Wei-Jian Li Wenjing Zhang Ellie Ngo Jonathan EPiccolo Hai-Bo Yang Xiaopeng Li Department of Chemistry University of South Florida4202 Fowler AvenueTampaFlorida 33620United States Shanghai Key Laboratory of Green Chemistry and Chemical Processes School of Chemistry and Molecular EngineeringEast China Normal University3663 N.Zhongshan RoadShanghai 200062China College of Chemistry and Molecular Engineering Zhengzhou UniversityZhengzhouHenan 450001China

Background and Originality Content Porphyrins are a vibrant class of organic dyes found widely in nature,ranging from the well-studied chlorophyll and heme found in the cells of plants and red blooded animals to the l... 详细信息

关键词： Porphyrin chaos porphyrin

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