the optical spectrum band positions and epr parameters (g factors g//, g^ and hyperfine structure constants a// and a^) for vo2+ ions in zn(antipyrine)2(no3)2 are theoretically studied from the complete diagonalization (of energy matrix) method (cdm) and the perturbation theory method (ptm). in the two methods, the contributions from the spin–orbit (so) coupling of central 3dn ion and ligand ar...

We demonstrate that in a triangular configuration of an optical lattice of two atomic species a variety of novel spin-1/2 Hamiltonians can be generated. They include effective three-spin interactions resulting from the possibility of atoms tunneling along two different paths. This motivates the study of ground state properties of various three-spin Hamiltonians in terms of their two-point and n...

It has been established that local lattice spin Hamiltonians can be used for universal adiabatic quantum computation. However, the 2-local model Hamiltonians used in these proofs are general and hence do not limit the types of interactions required between spins. To address this concern, the present paper provides two simple model Hamiltonians that are of practical interest to experimentalists ...

We use a model Hamiltonian to study critical phenomena in manganites. This includes long-range strain interactions, and coupling between the magnetic order parameter field. perform perturbative renormalization group (RG) analysis calculate static exponents, correct one-loop level. compare our RG results with many experiments on doped manganite systems. Our theory is excellent agreement experime...

We present detailed discussions on the stochastic Hamiltonians for non-critical string field theories on the basis of matrix models. Beginning from the simplest c = 0 case, we derive the explicit forms of the Hamiltonians for the higher critical case k = 3 (which corresponds to c = −22/5) and for the case c = 1/2, directly from the double-scaled matrix models. In particular, for the two-matrix ...

We construct the family of spin chain Hamiltonians, which have affine quantum group symmetry U q ˆ g. Their eigenvalues coincide with the eigen-values of the usual spin chain Hamiltonians, but have the degeneracy of levels, corresponding to affine U q ˆ g. The space of states of these spin chains is formed by the tensor product of fully reducible representations of quantum group. The fermionic ...

The dynamic critical behavior at the paramagnetic-antiferromagnetic (PM-AFM) transition in manganites has recently been studied experimentally [Niermann et al., Phys. Rev. Lett. {\bf 114}, 037204 (2015)]. We extend Hamiltonian of Paper I by incorporating an energy field, and study corresponding Model C dynamics. use renormalization group (RG) approach calculate exponents $z$, $\nu z$ line-width...

We propose an implementation for quantum information processing based on coherent manipulations of nuclear spins I=3/2 in GaAs semiconductors. We describe theoretically an NMR method which involves multiphoton transitions and which exploits the nonequidistance of nuclear spin levels due to quadrupolar splittings. Starting from known spin anisotropies we derive effective Hamiltonians in a genera...