title: SU(3) semiclassical representation of quantum dynamics of interacting spins.
abstract: We present a formalism for simulating quantum dynamics of lattice spin-1 systems by first introducing local hidden variables and then doing semiclassical (truncated Wigner) approximation in the extended phase space. In this way, we exactly take into account the local on-site Hamiltonian and approximately treat spin-spin interactions. In particular, we represent each spin with eight classical SU(3) variables. Three of them represent the usual spin components and five others are hidden variables representing local spin-spin correlations. We compare our formalism with exact quantum dynamics of fully connected spin systems and find very good agreement. As an application, we discuss quench dynamics of a Bose-Hubbard model near the superfluid-insulator transition for a 3D lattice system consisting of 1000 sites.
authors: Department of Physics, Boston University, Boston, Massachusetts 02215, USA.
authors: Shainen M
authors: SM
authors: Davidson
authors: Department of Physics, Boston University, Boston, Massachusetts 02215, USA.
authors: Anatoli
authors: A
authors: Polkovnikov