Nature and measure of entanglement in quantum phase transitions

R Somma, G Ortiz, H Barnum, E Knill, L Viola - Physical Review A—Atomic …, 2004 - APS
Characterizing and quantifying quantum correlations in states of many-particle systems is at
the core of a full understanding of phase transitions in matter. In this work, we continue our …

Exact Bond Ordered Ground State for the Transition between the Band<? format?> and the Mott Insulator

CD Batista, AA Aligia - Physical review letters, 2004 - APS
We derive an effective Hamiltonian H eff for an ionic Hubbard chain, valid for t≪ U, Δ, where
t is the hopping, U is the Coulomb repulsion, and Δ is the charge-transfer energy. H eff is the …

Exact Ground States of a Frustrated 2D Magnet: Deconfined Fractional Excitations<? format?> at a First-Order Quantum Phase Transition

CD Batista, SA Trugman - Physical review letters, 2004 - APS
We introduce a frustrated spin 1/2 Hamiltonian which is an extension of the two dimensional
J 1-J 2 Heisenberg model. The ground states of this model are exactly obtained at a first …

Two-dimensional gapless spin liquids in frustrated SU (N) quantum magnets

P Li, SQ Shen - New Journal of Physics, 2004 - iopscience.iop.org
A class of the symmetrically frustrated SU (N) models is constructed for quantum magnets
based on the generators of the SU (N) group. The total Hamiltonian lacks SU (N) symmetry …

Dynamical symmetries in nanophysics

K Kikoin, Y Avishai, MN Kiselev - arXiv preprint cond-mat/0407063, 2004 - arxiv.org
The concept of dynamical symmetries is specified for quantum dots under strong Coulomb
blockade. It is shown that the electron cotunneling through quantum dots may be described …

Stripes, Topological Order, and Deconfinement in a Planar Model

J Šmakov, CD Batista, G Ortiz - Physical review letters, 2004 - APS
We determine the quantum phase diagram of a two-dimensional bosonic tJ z model as a
function of the lattice anisotropy γ, using a quantum Monte Carlo loop algorithm. We show …