In agreement with the Harris criterion, asymptotic critical exponents of threedimensional (3d) Heisenberg-like magnets are not influenced by weak quenched dilution of non-magnetic component. However, often in the experimental studies of corresponding systems concentrationand temperature-dependent exponents are found with values differing from those of the 3d Heisenberg model. In our study, we u...

It has recently been shown that quantum computers can efficiently solve the Heisenberg hidden subgroup problem, a problem whose classical query complexity is exponential. This quantum algorithm was discovered within the framework of using pretty-good measurements for obtaining optimal measurements in the hidden subgroup problem. Here we show how to solve the Heisenberg hidden subgroup problem u...

We report magnetization, specific heat, muon spin rotation, and Na NMR measurements on the S=3/2 rhombohedrally stacked Heisenberg antiferromagnet NaCrO2. This compound appears to be a good candidate for the study of isotropic triangular Heisenberg antiferromagnets with very weak interlayer coupling. While specific heat and magnetization measurements indicate the onset of a transition in the ra...

We formulate an efficient method for characterizing and quantifying genuine multipartite entanglement in two-dimensional (2D) Heisenberg spin systems where the ground state is a large superposition obtained from nearest-neighbor dimer coverings on spin-1/2 lattices, the resonating valence bond (RVB) state. We find an analytical iterative method, the density matrix recursion method, to generate ...

Recently orthonormal Wilson bases with good time–frequency localization have been constructed by Daubechies, Jaffard, and Journé. We extend this construction to Wilson sets and frames with arbitrary oversampling (or redundancy). We state conditions under which dual Weyl–Heisenberg (WH) sets induce dual Wilson sets, and we formulate duality conditions in the time domain and frequency domain. We ...

Two standard tools for signal analysis are the short{time Fourier transform and the continuous wavelet transform. These tools arise as matrix coeecients of square integrable representations of the Heisenberg and aane groups respectively, and discrete frame decompositions of L 2 arise from approximations of corresponding reproducing formulae. Here we study two groups, the so-called aane Weyl-Hei...

The Heisenberg model is described. Some of the interesting behavior of Heisenberg antiferromagnets and its behavior as a function of dimension is described. One dimensional systems have no long range order, two dimensional systems order magnetically only at zero temperature, and three dimensional systems have a non-zero critical temperature. Assembling lower dimensional pieces into ladders and ...