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@PHDTHESIS{Hosseinkhani:861540,
author = {Hosseinkhani, Amin},
title = {{N}ormal-{M}etal {Q}uasiparticle {T}raps {F}or
{S}uperconducting {Q}ubits: {M}odeling, {O}ptimization, and
{P}roximity {E}ffect},
school = {RWTH Aachen University},
type = {Dissertation},
publisher = {RWTH Aachen University},
reportid = {FZJ-2019-01995},
pages = {150},
year = {2018},
note = {Dissertation, RWTH Aachen University, 2018},
abstract = {Bogoliubov quasiparticle excitations are detrimental for
the operation of many superconducting devices. In
superconducting qubits, quasiparticles interact with the
qubit degree of freedom when tunneling through a Josephson
junction, and this interaction can lead to qubit relaxation.
At millikelvin temperatures, there is substantial evidence
of nonequilibrium quasi- particles. While there is no agreed
upon explanation for the origin of these excess
quasiparticles, it is nevertheless possible to limit the
quasiparticle-induced relaxation by steering quasiparticles
away from qubit active elements. In this thesis, we study
quasiparticle traps that are formed by a normal-metal in
tunnel contact with the superconducting electrode of a
qubit. We develop a model to explain how a trap can
influence the dynamics of the excess quasiparticles injected
in a transmontype qubit. This model makes it possible to
find the time it takes to evacuate the injected
quasiparticles from the transmon as a function of trap
parameters. We show when the trap size is increased, the
evacuation time decreases monotonically and saturates at a
level that depends on the quasiparticles diffusion constant
and the qubit geometry. We find the characteristic trap size
needed for the evacuation time to approach the saturation
value. It turns out that the bottleneck limiting the
trapping rate is the slow quasiparticle energy relaxation
inside the normal-metal trap, a quantity that is very hard
to control. In order to optimize normal-metal quasiparticle
trapping, we study the effects of trap size, number, and
placement. These factors become important when the trap size
increases beyond the characteristic length. We discuss for
some experimentally relevant examples how to shorten the
evacuation time of the excess quasiparticle density.
Moreover, we show that a trap in the vicinity of a Josephson
junction can significantly suppress the steady-state
quasiparticle density near that junction and reduce the
impact of fluctuations in the generation rate of
quasiparticles. When such normal-metal elements are
connected to a superconducting material, Cooper- pairs can
leak into the normal-metal trap. This modifies the
superconductor properties and, in turn, affects the qubit
coherence. Using the Usadel formalism, we first revisit the
proximity effect in uniform NS bilayers; despite the long
history of this problem, we present novel findings for the
density of states. We then extend our results to describe a
non-uniform system in the vicinity of a trap edge. Using
these results together with the previously developed model
for the suppression of the quasiparticle density due to the
trap, we find in a transmon qubit an optimum trap-junction
distance at which the qubit relaxation rate is minimized.
This optimum distance, of the order of 4 to 20 coherence
lengths, originates from the competition between proximity
effect and quasiparticle density suppression. We conclude
that the harmful influence of the proximity effect can be
avoided so long as the trap is farther away from the
junction than this optimum.},
cin = {PGI-2},
cid = {I:(DE-Juel1)PGI-2-20110106},
pnm = {144 - Controlling Collective States (POF3-144)},
pid = {G:(DE-HGF)POF3-144},
typ = {PUB:(DE-HGF)11},
doi = {10.18154/RWTH-2018-226909},
url = {https://juser.fz-juelich.de/record/861540},
}