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We consider an optimization problem related to semi-active damping of vibrating systems. The main problem is to determine the best damping matrix able to minimize influence of the input on the output of the system. We use a minimization…

Dynamical Systems · Mathematics 2017-07-07 Zoran Tomljanović , Christopher Beattie , Serkan Gugercin

The past decade has demonstrated increasing interests in using optimal control based methods within coherent quantum controllable systems. The versatility of such methods has been demonstrated with particular elegance within nuclear…

Quantum Physics · Physics 2015-05-18 Ivan I. Maximov , Niels Chr. Nielsen , Julien Salomon , Gabriel Turinici

We established important relationships between entanglement measures and the order parameter (spin polarization) in nuclear spin systems controlled by the nuclear magnetic resonance (NMR) technique. Since spin polarization can be easily…

Quantum Physics · Physics 2008-10-27 G. B. Furman , V. M. Meerovich , V. L. Sokolovsky

Polarization transfers from an electron spin to a nuclear spin are essential for various physical tasks, such as dynamic nuclear polarization in nuclear magnetic resonance and quantum state transformations on hybrid electron-nuclear spin…

Quantum Physics · Physics 2015-11-11 Haidong Yuan , Robert Zeier , Nikolas Pomplun , Steffen J. Glaser , Navin Khaneja

We present an algebraic foundation for the state space restriction approximation in spin dynamics simulations and derive applicability criteria as well as minimal basis set requirements for practically encountered simulation tasks. The…

Relaxation of conduction electron spins in a semiconductor owing to the hyperfine interaction with spin-1/2 nuclei, in zero applied magnetic field, is investigated. We calculate the electron spin relaxation time scales, in order to evaluate…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Yuriy V. Pershin , Vladimir Privman

We calculate the magnetisation relaxation in the short-time regime for an ensemble of nanomagnets in the presence of a low-frequency external AC biasing field, at temperatures lower than the magnetic anisotropy energy of the individual…

Condensed Matter · Physics 2007-05-23 G. Rose , P. C. E. Stamp

We consider the time-optimal control by magnetic fields of a spin 1/2 particle in a dissipative environment. This system is used as an illustrative example to show the role of singular extremals in the control of quantum systems. We analyze…

Quantum Physics · Physics 2010-03-02 M. Lapert , Y. Zhang , M. Braun , S. J. Glaser , D. Sugny

Coherent manipulation of nuclear spins is a highly desirable tool for both quantum metrology and quantum computation. However, most of the current techniques to control nuclear spins lack of being fast impairing their robustness against…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Raul Coto , Vincent Jacques , Gabriel Hétet , Jerónimo R. Maze

One of the primary science goals of the next generation of hard X-ray timing instruments is to determine the equation of state of the matter at supranuclear densities inside neutron stars, by measuring the radius of neutron stars with…

We study the mechanism of nuclear spin relaxation in quantum dots due to the electron exchange with 2D gas. We show that the nuclear spin relaxation rate is dramatically affected by the Coulomb blockade and can be controlled by gate…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. B. Lyanda-Geller , I. L. Aleiner , B. L. Altshuler

Spin relaxometry using solid-state spin defects, such as the diamond nitrogen-vacancy (NV) center, probes dynamical processes by measuring how environmental fluctuations enhance the spin relaxation rate. In the weak-coupling limit,…

Mesoscale and Nanoscale Physics · Physics 2026-02-03 Ruotian Gong , Alex L. Melendez , Guanghui He , Zhongyuan Liu , Chong Zu , Huan Zhao

We evaluate critically the use of pulsed gradient spin-echo nuclear magnetic resonance (PGSE NMR) to measure molecular mobility during chemical reactions. With raw NMR spectra available in a public depository, we confirm boosted mobility…

Soft Condensed Matter · Physics 2021-02-09 Huan Wang , Tian Huang , Steve Granick

Nuclear magnetic resonance has emerged as a vital technique for investigating strongly correlated electron systems, and is particularly important for studying superconductivity. In this paper the basic features of NMR as a technique for…

Superconductivity · Physics 2009-01-26 N. J. Curro

Large-amplitude magnetization dynamics is substantially more complex compared to the low-amplitude linear regime, due to the inevitable emergence of nonlinearities. One of the fundamental nonlinear phenomena is the nonlinear damping…

Mesoscale and Nanoscale Physics · Physics 2019-11-22 Boris Divinskiy , Sergei Urazhdin , Sergej O. Demokritov , Vladislav E. Demidov

The existence of quantum correlation (as revealed by quantum discord), other than entanglement and its role in quantum-information processing (QIP), is a current subject for discussion. In particular, it has been suggested that this…

We present a thermal and quantum-mechanical treatment of nuclear rotation using the formalism of static path approximation (SPA) plus random-phase approximation (RPA). Naive perturbation theory fails because of the presence of…

Nuclear Theory · Physics 2008-11-26 K. Kaneko , A. Schiller

Raman cooling of non-zero-spin atoms in the presence of gravitational and external magnetic fields is investigated. The magnetic field is adjusted so as to compensate for the gravitational force acting on ground-state atoms. The dark state…

Atomic Physics · Physics 2019-06-07 A. V. Soroko

Many estimates for the magnetic relaxation time of magnetic nanoparticle systems neglect the effect of the applied field strength. This is despite many applications of magnetic nanoparticles involving relaxation dynamics under the influence…

Mesoscale and Nanoscale Physics · Physics 2024-06-19 Jonathon C. Davidson , Nicholas R. Anderson , Karen L. Livesey

Nuclear magnetic resonance (NMR) spectroscopy is a powerful technique for analyzing the structure and function of molecules, and for performing three-dimensional imaging of the spin density. At the heart of NMR spectrometers is the…

Quantum Physics · Physics 2019-04-15 K. S. Cujia , J. M. Boss , K. Herb , J. Zopes , C. L. Degen
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