"Transport in 1D revisited: A simple, exact solution for phase disorder"
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I will revisit the baby problem of single-channel scattering in a
one-dimensional chain of scatterers, with uniform phase disorder. I will present
a simple, exact analytical solution that applies even in the strong scattering
limit. This permits the easy computation of all moments of the conductance and
resistance, and I will show how one obtains answers well-known from
weak-scattering limit from our exact solution. I will also discuss features in
the probability distribution for the conductance missing from the usual weak
scattering treatment. This is work done together with Berge Englert from the
Centre for Quantum Technologies, Singapore.