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We propose protocols for the creation of useful entangled states in a system of spins collectively coupled to a bosonic mode, directly applicable to trapped-ion and cavity QED setups. The protocols use coherent manipulations of the…

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

The one-dimensional homonuclear periodic array of nuclear spins I = 1/2, owing to hyperfine interaction of nuclear spins with electronic magnetic moments in antiferromagnetic structure, is considered. The neighbor nuclear spins in such…

Quantum Physics · Physics 2007-05-23 A. A. Kokin

We present an efficient algorithm for one- and two-component relativistic exact-decoupling calculations. Spin-orbit coupling is thus taken into account for the evaluation of relativistically transformed (one-electron) Hamiltonian. As the…

Chemical Physics · Physics 2013-05-10 Daoling Peng , Nils Middendorf , Florian Weigend , Markus Reiher

We discuss the basic properties of a recently proposed hybrid light-matter system of strongly interacting photons in an array of coupled cavities each doped with a single two level system. Using the non-linearity generated from the photon…

Quantum Physics · Physics 2008-03-13 Dimitris G. Angelakis , Sougato Bose , Alastair Kay , Marcelo F. Santos

We consider the problem of selectively controlling couplings in a practical quantum processor with always-on interactions that are diagonal in the computational basis, using sequences of local NOT gates. This methodology is well-known in…

Quantum Physics · Physics 2020-09-11 Takahiro Tsunoda , Gaurav Bhole , Stephen A. Jones , Jonathan A. Jones , Peter J. Leek

We show that efficient quantum computation is possible using a disordered Heisenberg spin-chain with `always-on' couplings. Such disorder occurs naturally in nanofabricated systems. Considering a simple chain setup, we show that an…

Quantum Physics · Physics 2007-05-23 Chiu Fan Lee , Neil F. Johnson

The problem of coupling multiple spin ensembles through cavity photons is revisited by using PyBTM organic radicals and a high-$T_c$ superconducting coplanar resonator. An exceptionally strong coupling is obtained and up to three spin…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 A. Ghirri , C. Bonizzoni , F. Troiani , N. Buccheri , L. Beverina , A. Cassinese , M. Affronte

Autoregressive Neural Networks based on dense or convolutional layers have recently been shown to be a viable strategy for generating classical spin systems. Unlike these methods, sampling with transformers is commonly considered to be…

Disordered Systems and Neural Networks · Physics 2026-05-01 Piotr Białas , Piotr Korcyl , Tomasz Stebel , Adam Stefański , Dawid Zapolski

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

A powerful control method in experimental quantum computing is the use of spin echoes, employed to select a desired term in the system's internal Hamiltonian, while refocusing others. Here we address a more general problem, describing a…

Quantum Physics · Physics 2020-03-04 Gaurav Bhole , Takahiro Tsunoda , Peter J. Leek , Jonathan A. Jones

Ising machines are effective solvers for complex combinatorial optimization problems. The idea is mapping the optimal solution(s) to a combinatorial optimization problem to the minimum energy state(s) of a physical system, which naturally…

Emerging Technologies · Computer Science 2025-03-18 Hüsrev Cılasun , Abhimanyu Kumar , Ziqing Zeng , Nafisa Sadaf Prova , Sachin S. Sapatnekar , Ulya R. Karpuzcu

We present a multiscale integrator for Hamiltonian systems with slowly varying quadratic stiff potentials that uses coarse timesteps (analogous to what the impulse method uses for constant quadratic stiff potentials). This method is based…

Numerical Analysis · Mathematics 2011-04-14 Molei Tao , Houman Owhadi , Jerrold E. Marsden

The iteration dynamics of the coupled cluster equations exhibits a synergistic relationship among the cluster amplitudes. The iteration scheme may be viewed as a multivariate discrete-time propagation of nonlinearly coupled equations, which…

Computational Physics · Physics 2021-09-16 Valay Agarawal , Samrendra Roy , Kapil K. Shrawankar , Mayank Ghogale , S Bharathi , Anchal Yadav , Rahul Maitra

Experiments involving phase coherent dynamics of networks of spins, such as echo experiments, will only work if decoherence can be suppressed. We show here, by analyzing the particular example of a crystalline network of Fe8 molecules, that…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Andrea Morello , P. C. E. Stamp , Igor S. Tupitsyn

This research investigates the intricate domain of synchronization problem among multiple agents operating within a dynamic fast switching network topology. We concentrate on cluster synchronization within coupled linear system under…

Systems and Control · Electrical Eng. & Systems 2024-02-20 Ku Du , Yu Kang

Electron spin qubits in molecular systems offer high reproducibility and the ability to self assemble into larger architectures. However, interactions between neighbouring qubits are 'always-on' and although the electron spin coherence…

This paper is concerned with efficient representations and approximations of the solution to the scattering problem by a system of strongly coupled plasmonic particles. Three schemes are developed: the first is the resonant expansion which…

Numerical Analysis · Mathematics 2017-09-26 Habib Ammari , Matias Ruiz , Sanghyeon Yu , Hai Zhang

We show how to implement quantum computation on a system with an intrinsic Hamiltonian by controlling a limited subset of spins. Our primary result is an efficient control sequence on a nearest-neighbor XY spin chain through control of a…

Quantum Physics · Physics 2010-01-27 Alastair Kay , Peter J. Pemberton-Ross

Homoclinic snaking is a widespread phenomenon observed in many pattern-forming systems. Demonstrating its occurrence in non-perturbative regimes has proven difficult, although a forcing theory has been developed based on the identification…

Dynamical Systems · Mathematics 2025-07-23 Jan Bouwe van den Berg , Gabriel William Duchesne , Jean-Philippe Lessard