Daniel Huerga

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We present a canonical mapping transforming physical boson operators into quadratic products of cluster composite bosons that preserves matrix elements of operators when a physical constraint is enforced. We map the 2D lattice Bose-Hubbard Hamiltonian into 2×2 composite bosons and solve it within a generalized Hartree-Bogoliubov approximation. The resulting(More)
We present a mapping of elementary fermion operators onto a quadratic form of composite fermionic and bosonic cluster operators. The mapping is an exact isomorphism as long as the physical constraint of one composite particle per cluster is satisfied. This condition is treated on average in a composite particle mean-field approach, which consists of an(More)
Daniel Huerga,1 Sylvain Capponi,2 Jorge Dukelsky,3 and Gerardo Ortiz4 1Institut für Theoretische Physik III, Universität Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany 2Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, UPS, France 3Instituto de Estructura de la Materia, C.S.I.C., Serrano 123, E-28006 Madrid, Spain 4Department(More)
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