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We investigate nonequilibrium phenomena in magnetic nano-junctions using a numerical approach that combines classical spin dynamics with the hierarchical equations of motion technique for quantum dynamics of conduction electrons. Our focus…

Mesoscale and Nanoscale Physics · Physics 2024-02-26 Rudolf Smorka , Michael Thoss , Martin Žonda

This paper investigates real-time control strategies for dynamical systems that involve frictional contact interactions. Hybridness and underactuation are key characteristics of these systems that complicate the design of feedback…

Robotics · Computer Science 2016-11-28 Francois Robert Hogan , Alberto Rodriguez

Numerous theories have postulated the existence of exotic spin-dependent interactions beyond the Standard Model of particle physics. Spin-based quantum sensors, which utilize the quantum properties of spins to enhance measurement precision,…

Quantum Physics · Physics 2024-12-16 Min Jiang , Haowen Su , Yifan Chen , Man Jiao , Ying Huang , Yuanhong Wang , Xing Rong , Xinhua Peng , Jiangfeng Du

A theoretical calculation is performed for the ultrafast spin dynamics in nickel using an exact diagonalization method. The present theory mainly focuses on a situation where the intrinsic charge and spin dynamics is probed by the nonlinear…

Materials Science · Physics 2009-10-31 G. P. Zhang , W. Hübner

Active solids combine internal active driving with elasticity to realize states with nonequilibrium mechanics and autonomous motion. They are often studied in overdamped settings, e.g., in soft materials, and the role of inertia is less…

Soft Condensed Matter · Physics 2025-12-29 Siddhartha Sarkar , Biswarup Ash , Yueyang Wu , Nicholas Boechler , Suraj Shankar , Xiaoming Mao

We consider nonlinear Schrodinger equations with either local or nonlocal nonlinearities. In addition, we include periodic potentials as used, for example, in matter wave experiments in optical lattices. By considering the corresponding…

Mathematical Physics · Physics 2012-06-08 Rémi Carles , Christof Sparber

Model predictive control (MPC) of hybrid dynamical systems is challenging because the associated optimization problem is nonsmooth and the resulting feedback law is discontinuous. This paper develops real-time MPC algorithms for nonlinear…

Optimization and Control · Mathematics 2026-04-21 Armin Nurkanović , Anton Pozharskiy , Moritz Diehl

The collective response of a system is profoundly shaped by the interaction dynamics between its constituent elements. In physics, tailoring these interactions can enable the observation of unusual phenomena that are otherwise inaccessible…

We develop an efficient package for the simulation of nuclear magnetic resonance spin echo experiments to study the effects of strong electronic spin correlations on the dynamics of the nuclear spin ensemble. A mean-field model is used to…

Strongly Correlated Electrons · Physics 2026-02-09 Charles Snider , Stephen Carr , D. E. Feldman , Chandrasekhar Ramanathan , V. F. Mitrović

Recent experiments have demonstrated the ability to manipulate nonlinear interactions via time modulation, giving rise to the so-called stroboscopic nonlinearity. To date, however, this phenomenon has not been subjected to a rigorous…

The study of collective nonlinear dynamics of coupled mechanical resonators is regaining attention in recent years thanks to rapid developments in the fields of microelectromechanical and nanoelectromechanical systems (MEMS and NEMS). We…

Pattern Formation and Solitons · Physics 2021-08-24 Ron Lifshitz , Eyal Kenig , M. C. Cross

We develop a systematic and efficient approach for numerically solving the non-Markovian quantum state diffusion equations for open quantum systems coupled to an environment up to arbitrary orders of noises or coupling strengths. As an…

Quantum Physics · Physics 2014-08-29 Zeng-Zhao Li , Cho-Tung Yip , Hai-Yao Deng , Mi Chen , Ting Yu , J. Q. You , Chi-Hang Lam

Strongly interacting spins underlie many intriguing phenomena and applications ranging from magnetism to quantum information processing. Interacting spins combined with motion display exotic spin transport phenomena, such as superfluidity…

In this paper, we solve the eigen solutions to some nonlinear spinor equations, and compute several functions reflecting their characteristics. The numerical results show that, the nonlinear spinor equation has only finite meaningful eigen…

High Energy Physics - Theory · Physics 2017-11-29 Ying-Qiu Gu

Magnetic microrobots can be navigated by an external magnetic field to autonomously move within living organisms with complex and unstructured environments. Potential applications include drug delivery, diagnostics, and therapeutic…

Robotics · Computer Science 2024-03-22 Yongyi Jia , Shu Miao , Junjian Zhou , Niandong Jiao , Lianqing Liu , Xiang Li

Numerical modelling of coherent spin relaxation in nanomagnets, formed by magnetic molecules of high spins, is accomplished. Such a coherent spin dynamics can be realized in the presence of a resonant electric circuit coupled to the magnet.…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. I. Yukalov , V. K. Henner , P. V. Kharebov

Nonlinear spin motion in ferromagnets is considered with nonlinearity due to three factors: (i) the sample is prepared in a strongly nonequilibrium state, so that evolution equations cannot be linearized as would be admissible for spin…

Condensed Matter · Physics 2009-10-31 V. I. Yukalov , M. G. Cottam , M. R. Singh

Many real-world systems are governed by the time-dependent, nonlinear differential equations. Dynamics of an electrical system are also best described using the very equations. Being one of the preferred machines when using advanced control…

Systems and Control · Computer Science 2017-12-05 Srikanth Peetha , Michael L. McIntyre

We discuss the strong interaction regime of the nonlinear Landau-Zener problem coming up at coherent photo- and magneto-association of ultracold atoms. We apply a variational approach to an exact third-order nonlinear differential equation…

Quantum Gases · Physics 2009-09-04 R. Sokhoyan , H. Azizbekyan , C. Leroy , A. Ishkhanyan

Spasers have been theoretically predicted and experimentally observed and promise to deliver new exciting nanophotonic and biomedical applications. Here we theoretically investigate ultrafast dynamical properties of spasers with external…

Optics · Physics 2015-06-23 Dmitri V. Voronine , Weiguang Huo , Marlan Scully