Results 51 to 60 of about 77,468 (213)

Multimodal Super‐Resolution Imaging of Nitrogen‐Vacancy Centers via High‐Index‐Induced Structured Illumination Microscopy and Optically Detected Magnetic Resonance Spectrometry

Advanced Science, EarlyView.
This work demonstrates a multimodal super‐resolution imaging technique for nitrogen‐vacancy centers by integrating high‐index‐induced structured illumination with optically detected magnetic resonance. By utilizing diamond's high refractive index, the method achieves sub‐100‐nm spatial resolution and enhanced localization. This dual‐modulation strategy
Kyu Ri Choi, Mohammed Zia Jalaludeen, Samuel Begumya, Yan Qiu Du, Dong Hee Park, Bin Chan Joo, Jae Hwan Yoo, Síle Nic Chormaic, Shilong Li, Yeon Ui Lee   +9 more
wiley   +1 more source

Isochronicity and linearizability of planar polynomial Hamiltonian systems

Journal of Differential Equations, 2015
Agraïments: UNAB13-4E-1604. The second author is supported by the Slovenian Research Agency. Both authors are supported by the grant FP7-PEOPLE-2012-IRSES-316338. We also thank the referee for valuable remarks which helped to improve the manuscript. In this paper we study isochronicity and linearizability of planar polynomial Hamiltonian systems. First
Jaume Llibre, Valery G. Romanovski
openaire   +8 more sources

Finiteness of integrable $n$-dimensional homogeneous polynomial potentials

, 2007
We consider natural Hamiltonian systems of $n>1$ degrees of freedom with polynomial homogeneous potentials of degree $k$. We show that under a genericity assumption, for a fixed $k$, at most only a finite number of such systems is integrable.
Ablowitz, Ablowitz, Furta, Goriely, Grammaticos, Grammaticos, Guillot, Hietarinta, Hietarinta, Iwasaki, Kowalevski, Kowalevski, Kozlov, Lakshmanan, Lyapunov, Maciejewski, Maciejewski, Maciejewski, Maria Przybylska, Morales-Ruiz, Morales-Ruiz, Morales-Ruiz, Nakagawa, Nowicki, Painlevé, Ramani, Ramani, van der Put, Whittaker, Yoshida, Yoshida, Ziglin, Ziglin   +32 more
core   +2 more sources

Fundamental Challenges, Physical Implementations, and Integration Strategies for Ising Machines in Large‐Scale Optimization Tasks

Advanced Electronic Materials, EarlyView.
Ising machines are emerging as specialized hardware solvers for computationally hard optimization problems. This review examines five major platforms—digital CMOS, analog CMOS, emerging devices, coherent optics, and quantum systems—highlighting physics‐rooted advantages and shared bottlenecks in scalability and connectivity.
Hyunjun Lee, Joon Pyo Kim, Sanghyeon Kim
wiley   +1 more source

Linear type global centers of cubic Hamiltonian systems symmetric with respect to the x-axis

Electronic Journal of Differential Equations, 2020
A polynomial differential system of degree 2 has no global centers (that is, centers defined in all the plane except the fixed point). In this paper we characterize the global centers of cubic Hamiltonian systems symmetric with respect to the x-axis ...
Luis Barreira, Jaume Llibre, Claudia Valls   +2 more
doaj  

Symplectic Foliation Structures of Non-Equilibrium Thermodynamics as Dissipation Model: Application to Metriplectic Nonlinear Lindblad Quantum Master Equation

Entropy, 2022
The idea of a canonical ensemble from Gibbs has been extended by Jean-Marie Souriau for a symplectic manifold where a Lie group has a Hamiltonian action.
Frédéric Barbaresco
doaj   +1 more source

The Poisson bracket compatible with the classical reflection equation algebra

, 2007
We introduce a family of compatible Poisson brackets on the space of $2\times 2$ polynomial matrices, which contains the reflection equation algebra bracket.
A. V. Tsiganov, A.V. Tsiganov, A.V. Tsiganov, A.V. Tsiganov, E.K. Sklyanin, F. Magri, G. Falqui, I.D. Marshall, O.I. Bogoyavlensky, O.V. Goremykin, P.A. Damianou, V.B. Kuznetsov, V.B. Kuznetsov, V.B. Kuznetsov, V.B. Kuznetsov, V.I. Inozemtsev, V.V. Sokolov   +16 more
core   +1 more source

Factorization Machine‐Based Active Learning for Functional Materials Design with Optimal Initial Data

Advanced Intelligent Discovery, EarlyView.
This work investigates the optimal initial data size for surrogate‐based active learning in functional material optimization. Using factorization machine (FM)‐based quadratic unconstrained binary optimization (QUBO) surrogates and averaged piecewise linear regression, we show that adequate initial data accelerates convergence, enhances efficiency, and ...
Seongmin Kim, In‐Saeng Suh
wiley   +1 more source

The Solution of the Extended 16th Hilbert Problem for Some Classes of Piecewise Differential Systems

Mathematics
The limit cycles have a main role in understanding the dynamics of planar differential systems, but their study is generally challenging. In the last few years, there has been a growing interest in researching the limit cycles of certain classes of ...
Louiza Baymout, Rebiha Benterki, Jaume Llibre   +2 more
doaj   +1 more source

Comparison of DeePMD, MTP, GAP, ACE and MACE Machine‐Learned Potentials for Radiation‐Damage Simulations: A User Perspective

Advanced Intelligent Discovery, EarlyView.
The authors evaluated six machine‐learned interatomic potentials for simulating threshold displacement energies and tritium diffusion in LiAlO2 essential for tritium production. Trained on the same density functional theory data and benchmarked against traditional models for accuracy, stability, displacement energies, and cost, Moment Tensor Potential ...
Ankit Roy, Ram Devanathan, Sarah Allec, Giridhar Nandipati, Andrew M. Casella, David J. Senor, Duane D. Johnson, Ganesh Balasubramanian, Ayoub Soulami   +8 more
wiley   +1 more source