Quantum tunneling between inequivalent locations small polaron motion

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Abstract
The rate at which an electron transfers between bound states with differing energies as well as different spatial locations is examined. The coupling to a phonon bath not only serves to provide or dissipate the excess electronic energies involved in the transition, but also dephases the quantum coherence thereby dramatically increasing the time or Poincare reccurence of the system. At high temperatures, the description of a particle at a site is reasonable, and the inter‐site transition rate is calculated. At lower temperatures, when thermally activated phonons are scarce, the description in terms of bonding and antibonding states is more appropriate. For this regime, the rate for transfer between the bonding and antibonding states is calculated.

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