13,684 research outputs found
Waiting Times and Noise in Single Particle Transport
The waiting time distribution , i.e. the probability for a delay
between two subsequent transition (`jumps') of particles, is a
statistical tool in (quantum) transport. Using generalized Master equations for
systems coupled to external particle reservoirs, one can establish relations
between and other statistical transport quantities such as the noise
spectrum and the Full Counting Statistics. It turns out that usually
contains additional information on system parameters and properties such as
quantum coherence, the number of internal states, or the entropy of the current
channels that participate in transport
Sums and differences of power-free numbers
We employ a generalised version of Heath-Brown's square sieve in order to
establish an asymptotic estimate of the number of solutions to the equations and , where is -free and is
-free. This is the first time that this problem has been studied with
distinct powers and
Integer points on homogeneous varieties with two or more degrees
We give a revised version of Schmidt's treatment of forms in many variables,
which allows us to prove a Hasse principle under more lenient conditions on the
number of variables than what had previously been thought possible with these
methods. Our results are generally comparable with recent advances in the field
and supersede them in a number of cases.Comment: Withdrawn due to a crucial error on page 8. Thanks to D.R.
Heath-Brown for spotting thi
On the number of linear spaces on hypersurfaces with a prescribed discriminant
For a given form we apply the circle method
in order to give an asymptotic estimate of the number of -tuples spanning a linear space on the hypersurface with the property that . This allows us in some measure to
count rational linear spaces on hypersurfaces whose underlying integer lattice
is primitive
Dissipation in Open Two-Level Systems: Perturbation Theory and Polaron Transformation
We compare standard perturbation theory with the polaron transformation for
non-linear transport of electrons through a two-level system. For weak
electron-phonon coupling and large bias, there is good agreement between both
approaches. This regime has recently been explored in experiments in double
quantum dots.Comment: 4 pages, 1 figure, to appear in proceedings of MB1
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