Random-phase reservoir and a quantum resistor: The Lloyd model

Details Random-phase reservoir and a quantum resistor: The Lloyd model Random-phase reservoir and a quantum resistor: The Lloyd model

2007-05-19

arxiv.org/abs/0705.2815v3

Phys. Rev. B 76, 092202 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages,5 figures

Scientific paper

10.1103/PhysRevB.76.092202

We introduce phase disorder in a 1D quantum resistor through the formal device of `fake channels' distributed uniformly over its length such that the out-coupled wave amplitude is re-injected back into the system, but with a phase which is random. The associated scattering problem is treated via invariant imbedding in the continuum limit, and the resulting transport equation is found to correspond exactly to the Lloyd model. The latter has been a subject of much interest in recent years. This conversion of the random phase into the random Cauchy potential is a notable feature of our work. It is further argued that our phase-randomizing reservoir, as distinct from the well known phase-breaking reservoirs, induces no decoherence, but essentially destroys all interference effects other than the coherent back scattering.

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