Quantum tunneling and the semiclassical real time dynamics of the density matrix
Joachim Ankerhold, Hermann Grabert
The time evolution of the density matrix of a system with potential barrier is determined using path integrals. Describing the quantum dynamics in terms of the semiclassical motion in the complex coordinate plane, a detailed picture of barrier penetration in the time domain and the change-over from thermal activation to quantum tunneling is gained. Deep tunneling is shown to arise from specific fluctuations about the semiclassical real time trajectories.
Europhysics Letters (EPL)•Aug 1, 1999•18 citations