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The static transverse and longitudinal correlation functions (CF) of a 3-dimensional ferromagnet are calculated for the exactly solvable anisotropic spherical model (ASM) determined as the limit D \to \infty of the classical D-component…

Statistical Mechanics · Physics 2015-06-25 D. A. Garanin

An $\hbar$-expansion is presented for the ensemble-averaged spectral function of noninteracting matter waves in random potentials. We obtain the leading quantum corrections to the deep classical limit at high energies by the Wigner-Weyl…

Quantum Gases · Physics 2015-06-01 Martin-Isbjörn Trappe , Dominique Delande , Cord A. Müller

We consider estimation of mean and covariance functions of functional snippets, which are short segments of functions possibly observed irregularly on an individual specific subinterval that is much shorter than the entire study interval.…

Methodology · Statistics 2020-06-08 Zhenhua Lin , Jane-Ling Wang

For a two-component bosonic system, the components can be mapped onto a pseudo-spin degree of freedom with spin quantum number S=1/2. We provide a rigorous proof that for a wide-range of real Hamiltonians with component independent mass and…

Soft Condensed Matter · Physics 2009-11-07 Kun Yang , You-Quan Li

In many time-harmonic electromagnetic wave problems, the considered geometry exhibits an axial symmetry. In this case, by exploiting a Fourier expansion along the azimuthal direction, fully three-dimensional (3D) calculations can be carried…

Numerical Analysis · Mathematics 2022-11-22 Erik Schnaubelt , Nicolas Marsic , Herbert De Gersem

In this study, a spin-1/2 extended anisotropic XY chain has been introduced in which both time reversal and SU(2) symmetries are broken but $Z_2$ symmetry is preserved. Magnetic and topological phase diagrams in the parameter space have…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Rakesh Kumar Malakar , Asim Kumar Ghosh

Due to the phase interference of electromagnetic wave, one can recover the total image of one object from a small piece of holograph, which records the interference pattern of two laser light reflected from it. Similarly, the quantum…

Quantum Physics · Physics 2014-11-18 Shi-Jian Gu , Guang-Shan Tian , Hai-Qing Lin

We discuss the behaviour of the Larmor frequency shift and the longitudinal relaxation rate due to non-uniform electromagnetic fields on an assembly of spin 1/2 particles, in adiabatic and nonadiabatic regimes. We also show some general…

Atomic Physics · Physics 2015-11-24 G. Pignol , M. Guigue , A. Petukhov , R. Golub

The virtual detector is a commonly utilized technique to measure the properties of a wavefunction in simulation. One type of virtual detector measures the probability density and current at a set position over time, permitting an…

Quantum Physics · Physics 2022-05-24 Joshua Mann , James Rosenzweig

To check the reliability of the Majorana representation of quantum spin systems, we use it to compute the ground state energy of an antiferromagnetic spin 1/2 chain to one loop order. We find a very small one loop correction of the mean…

Strongly Correlated Electrons · Physics 2008-02-03 D. Foerster

We investigate different one-dimensional quantum spin-1/2 chain models and by combining analytical and numerical calculations prove that their ground state wave functions in the natural spin basis are multifractals with, in general,…

Statistical Mechanics · Physics 2012-05-22 Yasar Yilmaz Atas , Eugene Bogomolny

Spin dynamics is calculated in the ferromagnetic (FM) state of the generalized Kondo lattice model taking into account strong on-site correlations between e_g electrons and antiferromagnetic (AFM) exchange among t_{2g} spins. Our study…

Strongly Correlated Electrons · Physics 2007-05-23 F. Mancini , N. B. Perkins , N. M. Plakida

The general method for treating non-Gaussian wave functionals in the Hamiltonian formulation of a quantum field theory, which was previously proposed and developed for Yang--Mills theory in Coulomb gauge, is generalized to full QCD. For…

High Energy Physics - Theory · Physics 2015-09-30 Davide R. Campagnari , Hugo Reinhardt

Central to quantum theory, the wavefunction is the complex distribution used to completely describe a quantum system. Despite its fundamental role, it is typically introduced as an abstract element of the theory with no explicit definition.…

Quantum Physics · Physics 2011-12-16 Jeff S. Lundeen , Brandon Sutherland , Aabid Patel , Corey Stewart , Charles Bamber

We study the thermodynamics of one-dimensional quantum spin-1/2 Heisenberg ferromagnetic system with random antiferromagnetic impurity bonds. In the dilute impurity limit, we generalize the modified spin-wave theory for random spin chains,…

Disordered Systems and Neural Networks · Physics 2009-11-07 Xin Wan , Kun Yang , R. N. Bhatt

A distinguishing feature of protective measurement is the possibility of obtaining information about expectation values while making the disturbance of the initial state arbitrarily small. Quantifying this state disturbance is of paramount…

Quantum Physics · Physics 2015-12-10 Maximilian Schlosshauer

We study theoretically the Raman scattering spectra in the one-dimensional (1D) quantum spin-1/2 antiferromagnets. The analysis reveals that their low-energy dynamics is exquisitely sensitive to various perturbations to the Heisenberg chain…

Strongly Correlated Electrons · Physics 2012-06-06 Masahiro Sato , Hosho Katsura , Naoto Nagaosa

We theoretically study the scattering of spin waves from a sharp domain wall in an antiferromagnetic spin chain. While the continuum model for an antiferromagnetic material yields the well-known result that spin waves can pass through a…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Ehsan Faridi , Se Kwon Kim , Giovanni Vignale

Further results for conformal partial waves for four point functions for conformal primary scalar fields in conformally invariant theories are obtained. They are defined as eigenfunctions of the differential Casimir operators for the…

High Energy Physics - Theory · Physics 2012-03-01 F. A. Dolan , H. Osborn

Using the Wigner-Vlasov formalism, an exact 3D solution of the Schr\"odinger equation for a scalar particle in an electromagnetic field is constructed. Electric and magnetic fields are non-uniform. According to the exact expression for the…

Quantum Physics · Physics 2024-06-13 E. E. Perepelkin , B. I. Sadovnikov , N. G. Inozemtseva , P. V. Afonin