Phonon-Induced Decoherence in Electron Evolution
A Monte Carlo analysis of the evolution of an electron interacting with phonons is presented in terms of a Wigner function. The initial electron state is constructed by a superposition of two wave packets and a pronounced interference term. The results show that phonons effectively destroy the interference term. The initial coherence in wave vector distribution is pushed towards the equilibrium distribution. Phonons hinder the natural spread of the density with time and advance it towards a classical localization. The decoherence effect due to phonons, which brings about the transition from a quantum to a classical state, is demonstrated by the purity of the state, which decreases from its initial value of 1, with a rate depending on the lattice temperature.
Unable to display preview. Download preview PDF.
- 1.Heinrich, S.: Quantum Complexity of Numerical Problems. In: Cucker, F., et al. (eds.) London Mathematical Society Lecture Note Series, vol. 312, pp. 76–95. Cambridge University Press (2004)Google Scholar
- 3.Joos, E., et al.: Decoherence and Appearance of the Classical World in the Quantum Theory. Springer, Heidelberg (2003)Google Scholar
- 4.Querlioz, D., Dollfus, P.: The Wigner Monte Carlo Method for Nanoelectronic Devices. Wiley (2010)Google Scholar