- 08-25 Riccardo Adami, Laszlo Erdos
- Rate of decoherence for an electron weakly coupled to a phonon gas
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Feb 8, 08
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Abstract. We study the dynamics of an electron weakly coupled to a phonon gas.
The initial state of the electron is the superposition of two spatially
localized distant bumps moving towards each other, and the phonons are in a thermal state. We investigate the dynamics of the system in the kinetic
regime and show that the time evolution makes the non-diagonal terms of the density matrix of the electron decay, destroying the interference between the two bumps. We show that such a damping effect is exponential in time, and the related decay rate is proportional to the total
scattering cross section of the electron-phonon interaction.