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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/3349

Title: Random-phase reservoir and a quantum resistor: The Lloyd model
Authors: Roy, Dibyendu
Kumar, N.
Issue Date: 14-Sep-2007
Citation: Physical Review B, 2007, Vol.76, 092202
Abstract: We introduce phase disorder in a one-dimensional quantum resistor through the formal device of “fake channels” distributed uniformly over its length such that the outcoupled wave amplitude is reinjected back into the system, but with a phase which is random. The associated scattering problem is treated via invariant embedding 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 backscattering.
Description: Open Access.
URI: http://hdl.handle.net/2289/3349
ISSN: E-ISSN: 1095-3795
P-ISSN(s): 0163-1829; 1098-0121
Alternative Location: http://arxiv.org/abs/arXiv:0705.2815
Copyright: 2007. The American Physical Society
Appears in Collections:Research Papers (TP)

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