We report a theoretical analysis and experimental observation of the quantum
dynamics of a single vortex-antivortex (VAV) pair confined in a long narrow
annular Josephson junction. The switching of the junction from the
superconducting state to the resistive state occurs via the dissociation of a
pinned VAV pair. The pinning potential is controlled by external magnetic field
H and dc bias current I. We predict a specific magnetic field dependence of
the oscillatory energy levels of the pinned VAV state and the crossover to a
{\it macroscopic quantum tunneling} mechanism of VAV dissociation at low
temperatures. Our analysis explains the experimentally observed {\it increase}
of the width of the switching current distribution P(I) with H and the
crossover to the quantum regime at the temperature of about 100 mK.Comment: 4 pages, 3 figure