Entangled States of Atomic Solitons for Quantum Metrology

Abstract The formation of multiparticle maximally path-entangled states (known as N00N-states) are considered along with their use in quantum metrology. It is shown how the standard quantum limit can be overcome and the Heisenberg limit can be reached when measuring the linear phase shift. It is also shown how the Heisenberg limit can be overcome when measuring the parameters of a medium in nonlinear quantum metrology.