Dynamical entanglement in coupled systems

Abstract

We present a comparative analysis on the evolution of two coupled bosonic many-body quantum systems. Considering photons in two coupled cavities and bosonic atoms in a double-well potential, the effect of the boson-boson interaction on the spectral properties and the dynamical behavior is studied. In particular, we analyze the evolution of a Fock state to a N00N state, which is a superposition of two complementary Fock states. Such an entangled state appears in the evolution only if tunneling and many-body interaction are balanced.