English
Related papers

Related papers: Turing-Completeness and Undecidability in Coupled …

200 papers

Multistability -- the emergence of multiple stable states under identical conditions -- is a hallmark of nonlinear complexity and an enabling mechanism for multilevel optical memory and photonic computing. Its realization in a compact…

Optics · Physics 2025-11-18 Zhen Liu , Xuefan Yin , Andrey Bogdanov , Yujia Nie , Yi Zuo , Hongbin Li , Feifan Wang , Chao Peng

Advances in the amplification and manipulation of ultrashort laser pulses has led to revolutions in several areas. Examples include chirped pulse amplification for generating high peak-power lasers, power-scalable amplification techniques,…

Optics · Physics 2016-08-24 C. R. Phillips , B. W. Mayer , L. Gallmann , U. Keller

Nonlinear quantum optical systems are of paramount relevance for modern quantum technologies, as well as for the study of dissipative phase transitions. Their nonlinear nature makes their theoretical study very challenging and hence they…

Quantum Physics · Physics 2015-06-03 Peter Degenfeld-Schonburg , Carlos Navarrete-Benlloch , Michael J. Hartmann

Neuromorphic photonics that aims to process and store information simultaneously like human brains has emerged as a promising alternative for the next generation intelligent computing systems. The implementation of hardware emulating the…

Optics · Physics 2023-07-19 Jinlong Xiang , Xuhan Guo , Yikai Su

Optical neural networks are at the forefront of computational innovation, utilizing photons as the primary carriers of information and employing optical components for computation. However, the fundamental nonlinear optical device in the…

Fourier optical processing underpins optical information manipulation, yet extending such operations to short wavelengths within compact platforms remains challenging. Here, we address this challenge by embedding reconfigurable…

We outline the construction of a molecular system that could, in principle, implement a thermodynamically reversible Universal Turing Machine (UTM). By proposing a concrete-albeit idealised-design and operational protocol, we reveal…

Statistical Mechanics · Physics 2021-02-09 Rory A. Brittain , Nick S. Jones , Thomas E. Ouldridge

Integrated photonic reservoir computing has been demonstrated to be able to tackle different problems because of its neural network nature. A key advantage of photonic reservoir computing over other neuromorphic paradigms is its…

Optical control over elementary molecular vibration establishes fundamental capabilities for exploiting the broad range of optical linear and nonlinear phenomena. However, experimental demonstration of the coherently driven molecular…

Optics · Physics 2015-09-01 Biqin Dong , Xiangfan Chen , Fan Zhou , Chen Wang , Hao F. Zhang , Cheng Sun

On-chip coherent visible and near-infrared (NIR) light generation has broad applications in metrology, bio-sensing, and quantum information. High-Q microresonators are ideal candidates for generating light across such broad wavelength…

Application-specific optical processors have been considered disruptive technologies for modern computing that can fundamentally accelerate the development of artificial intelligence (AI) by offering substantially improved computing…

Image and Video Processing · Electrical Eng. & Systems 2021-05-26 Tiankuang Zhou , Xing Lin , Jiamin Wu , Yitong Chen , Hao Xie , Yipeng Li , Jintao Fan , Huaqiang Wu , Lu Fang , Qionghai Dai

Enhancing optical nonlinearities so that they become appreciable on the single photon level and lead to nonclassical light fields has been a central objective in quantum optics for many years. After this has been achieved in individual…

Quantum Physics · Physics 2016-09-20 Michael J. Hartmann

Deep learning has triggered explosive growth in the demand for specialized hardware processors, thus motivating the development of scalable and reconfigurable computing substrates. Optical processors offer a fundamentally different…

This paper provides a new and more direct proof of the assertion that a Turing computable function of the natural numbers is primitive recursive if and only if the time complexity of the corresponding Turing machine is bounded by a…

Formal Languages and Automata Theory · Computer Science 2025-10-22 Daniel G. Schwartz

Existence of amplitude independent frequencies of oscillation is an unusual property for a nonlinear oscillator. We find that a class of N coupled nonlinear Li\'enard type oscillators exhibit this interesting property. We show that a…

Exactly Solvable and Integrable Systems · Physics 2012-04-30 V. K. Chandrasekar , Jane H. Sheeba , R. Gladwin Pradeep , R. S. Divyasree , M. Lakshmanan

Looking at physical systems as computers allows us to regard physical properties, such as thermal noise, symmetry or topology, as unconventional resources for computation. However, harnessing these resources requires programming…

The effects of coherence of quantum transitions and the interference of resonant nonlinear optical processes on the spectra of absorption, amplification, and nonlinear-optical generation are considered. The most favorable conditions are…

Quantum Physics · Physics 2007-05-23 A. K. Popov

Optical parametric oscillators are widely-used pulsed and continuous-wave tunable sources for innumerable applications, as in quantum technologies, imaging and biophysics. A key drawback is material dispersion imposing the phase-matching…

Optics · Physics 2017-07-28 A. Ciattoni , A. Marini , C. Rizza , C. Conti

Nonlinear metasurfaces offer a new paradigm to realize optical nonlinear devices with new and unparalleled behavior compared to nonlinear crystals, due to the interplay between photonic resonances and materials properties. The complicated…

A new model for mechanical computing is demonstrated that requires only two basic parts: links and rotary joints. These basic parts are combined into two main higher level structures: locks and balances, which suffice to create all…

Emerging Technologies · Computer Science 2019-03-27 Ralph C. Merkle , Robert A. Freitas , Tad Hogg , Thomas E. Moore , Matthew S. Moses , James Ryley