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In NMR-based quantum computing, it is known that the controlled-NOT gate can be implemented by applying a low-power, monochromatic radio-frequency field to one peak of a doublet in a weakly-coupled two-spin system. This is known in NMR…

Quantum Physics · Physics 2010-04-23 D. G. Cory , A. E. Dunlop , T. F. Havel , S. S. Somaroo , W. Zhang

Spin-orbit interaction is an important vehicle for spin relaxation. At finite temperature lattice vibrations modulate the spin-orbit interaction and thus generate a mechanism for spin-phonon coupling, which needs to be incorporated in any…

Materials Science · Physics 2018-09-26 Subhayan Roychoudhury , Stefano Sanvito

We study the magnetic properties of the adatom systems on a semiconductor surface Si(111):\{C,Si,Sn,Pb\} - ($\sqrt{3} \times \sqrt{3}$). On the basis of all-electron density functional theory calculations we construct effective low-energy…

Strongly Correlated Electrons · Physics 2016-12-28 D. I. Badrtdinov , S. A. Nikolaev , M. I. Katsnelson , V. V. Mazurenko

Within the post Newtonian framework the fully reduced Hamiltonian (i.e., with eliminated spin supplementary condition) for the next-to-leading order spin-squared dynamics of general compact binaries is presented. The Hamiltonian is…

General Relativity and Quantum Cosmology · Physics 2010-06-04 Steven Hergt , Jan Steinhoff , Gerhard Schaefer

We present the effective Hamiltonian for an electron-nucleus interaction in non-relativistic limit up to the second order in the inverse nucleon mass. This Hamiltonian takes into account the distortion of electron waves and allows to…

Nuclear Theory · Physics 2007-05-23 R. Ya. Kezerashvili

An effective Hamiltonian is derived in the case of the strong Hund coupling and on-site Coulomb interaction by means of a projective perturbation approach. A physical mechanism for charge ordering in half-doped manganites…

Strongly Correlated Electrons · Physics 2009-10-31 Shun-Qing Shen , Z. D. Wang

In this work we extend the notion of universal quantum Hamiltonians to the setting of translationally-invariant systems. We present a construction that allows a two-dimensional spin lattice with nearest-neighbour interactions, open…

Quantum Physics · Physics 2020-01-23 Stephen Piddock , Johannes Bausch

Learning Hamiltonian of a quantum system is indispensable for prediction of the system dynamics and realization of high fidelity quantum gates. However, it is a significant challenge to efficiently characterize the Hamiltonian when its…

Quantum Physics · Physics 2020-01-08 P. -Y. Hou , L. He , F. Wang , X. -Z. Huang , W. -G. Zhang , X. -L. Ouyang , X. Wang , W. -Q. Lian , X. -Y. Chang , L. -M. Duan

An improved unified formulation based on the effective field theory is introduced for a spin-1 Ising model with nearest neighbor interactions with arbitrary coordination number z. Present formulation is capable of calculating all the…

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı

Using the procedures in \cite{Bu} and \cite{GMS} and the magnetic pseudodifferential calculus we have developped in \cite{MP1,MPR1,IMP1,IMP2} we construct an effective Hamitonian that describes the spectrum in any compact subset of the real…

Mathematical Physics · Physics 2013-10-10 Viorel Iftimie , Radu Purice

We propose a model describing $N$ spin-1/2 systems coupled through $N$-order homogeneous interaction terms, in presence of local time-dependent magnetic fields. This model can be experimentally implemented with current technologies in…

Quantum Physics · Physics 2018-10-25 R. Grimaudo , L. Lamata , E. Solano , A. Messina

Gain-dissipative platforms consisting of lasers, optical parametric oscillators and nonequilibrium condensates operating at the condensation/coherence threshold have been recently proposed as efficient analog simulators of 2-local spin…

Disordered Systems and Neural Networks · Physics 2021-02-10 Nikita Stroev , Natalia G. Berloff

We present a novel approach to study the ground state and elementary excitations in compounds where spins and orbitals are entangled by on-site relativistic spin-orbit interaction. The appropriate degrees of freedom are localized states…

Strongly Correlated Electrons · Physics 2010-07-13 Gia-Wei Chern , Natalia Perkins

We investigate the possibility to suppress interactions between a finite dimensional system and an infinite dimensional environment through a fast sequence of unitary kicks on the finite dimensional system. This method, called dynamical…

Quantum Physics · Physics 2018-03-28 Christian Arenz , Daniel Burgarth , Paolo Facchi , Robin Hillier

The validity of optimized dynamical decoupling (DD) is extended to analytically time dependent Hamiltonians. As long as an expansion in time is possible the time dependence of the initial Hamiltonian does not affect the efficiency of…

Quantum Physics · Physics 2010-03-17 Stefano Pasini , Götz S. Uhrig

Recently, there has been an increasing interest in modelling and computation of physical systems with neural networks. Hamiltonian systems are an elegant and compact formalism in classical mechanics, where the dynamics is fully determined…

Numerical Analysis · Mathematics 2022-06-28 Elena Celledoni , Andrea Leone , Davide Murari , Brynjulf Owren

The coupling of non-relativistic anyons (called exotic particles) to an electromagnetic field is considered. Anomalous coupling is introduced by adding a spin-orbit term to the Lagrangian. Alternatively, one has two Hamiltonian structures,…

High Energy Physics - Theory · Physics 2009-11-11 P A Horvathy , L. Martina , P. Stichel

Certain Hamiltonians based on two coupled quantum mechanical spins exhibit degenerate eigenvalues despite having no obvious non-abelian symmetries. Operators acting to permute the degenerate states do not have a simple form when expressed…

Atomic Physics · Physics 2007-05-23 Steven S. Gubser , Robert K. Bradley

The realization of electron-spin resonance at the single-atom level using scanning tunneling microscopy has opened new avenues for coherent quantum sensing and quantum state manipulation at the ultimate size limit. This allows to build…

Mesoscale and Nanoscale Physics · Physics 2025-12-10 Jose Reina-Gálvez , Hoang-Anh Le , Hong Thi Bui , Soo-hyon Phark , Nicolás Lorente , Christoph Wolf

We describe a controllable and unbiased strong-coupling diagrammatic Monte Carlo technique that is applicable to a wide range of fermionic systems and spin models. Unlike previous strong coupling methods that generally rely on the…

Strongly Correlated Electrons · Physics 2021-05-26 Johan Carlström