We introduce a generalized Gaudin Lie algebra and a complete set of mutually commuting
quantum invariants allowing the derivation of several families of exactly solvable …

We extend Elitzur's theorem to systems with symmetries intermediate between global and
local. In general, our theorem formalizes the idea of dimensional reduction. We apply the …

Recently developed quantum algorithms suggest that in principle, quantum computers can
solve problems such as simulation of physical systems more efficiently than classical …

Recently developed quantum algorithms suggest that quantum computers can solve certain
problems and perform certain tasks more efficiently than conventional computers. Among …

We derive an effective Hamiltonian for the ionic Hubbard model at half filling, extended to
include nearest-neighbor repulsion. Using a spin-particle transformation, the effective model …

We investigate the formation of a spin gap in one-dimensional models characterized by
groups with hidden dynamical symmetries. A family of two-parametric models of isotropic …

In 1935 Einstein, Podolsky, and Rosen [1] published a Gedanken-experiment that still
surprises us today [2]. Their main observation highlighted a key feature of quantum …

Abstract We revisit the Jordan–Wigner transformation, showing that—rather than a non-local
isomorphism between different fermionic and spin Hamiltonian operators—it can be viewed …