INELASTIC QUANTUM TRANSPORT

We solve a Schrodinger equation for inelastic quantum transport that r etains full quantum coherence, in contrast to previous rate or Boltzma nn equation approaches. The model Hamiltonian is the zero temperature 1D Holstein model for an electron coupled to optical phonons (polaron) , in a strong electric field. The Hilbert space glows exponentially wi th electron position, forming a nonstandard Bethe lattice. We calculat e nonperturbatively the transport current, electron-phonon correlation s. and quantum diffusion. This system is a toy model for the constantl y branching ''wave function of the universe.''.