14 research outputs found
Large Dispersive Shift of Cavity Resonance Induced by a Superconducting Flux Qubit in the Straddling Regime
We demonstrate enhancement of the dispersive frequency shift in a coplanar
waveguide resonator induced by a capacitively-coupled superconducting flux
qubit in the straddling regime. The magnitude of the observed shift, 80 MHz for
the qubit-resonator detuning of 5 GHz, is quantitatively explained by the
generalized Jaynes-Cummings model which takes into account the contribution of
the qubit higher energy levels. By applying the enhanced dispersive shift to
the qubit readout, we achieved 90% contrast of the Rabi oscillations which is
mainly limited by the energy relaxation of the qubit.Comment: 10 pages, 8 figure
AC Josephson effect and resonant Cooper pair tunneling emission of a Cooper Pair Transistor
We measure the high-frequency emission of a single Cooper pair
transistor(SCPT) in the regime where transport is only due to tunneling of
Cooper pairs. This is achieved by coupling on-chip the SCPT to a
superconductor-insulator-superconductor junction and by measuring the photon
assisted tunneling current of quasiparticles across the junction. This
technique allows a direct detection of the AC Josephson effect of the SCPT and
provides evidence of Landau-Zener transitions for proper gate voltage. The
emission in the regime of resonant Cooper pair tunneling is also investigated.
It is interpreted in terms of transitions between charge states coupled by the
Josephson effect.Comment: Revtex4, 5 pages, 4 figures, final versio
Finite-frequency counting statistics of electron transport: Markovian Theory
We present a theory of frequency-dependent counting statistics of electron
transport through nanostructures within the framework of Markovian quantum
master equations. Our method allows the calculation of finite-frequency current
cumulants of arbitrary order, as we explicitly show for the second- and
third-order cumulants. Our formulae generalize previous zero-frequency
expressions in the literature and can be viewed as an extension of MacDonald's
formula beyond shot noise. When combined with an appropriate treatment of
tunneling, using, e.g. Liouvillian perturbation theory in Laplace space, our
method can deal with arbitrary bias voltages and frequencies, as we illustrate
with the paradigmatic example of transport through a single resonant level
model. We discuss various interesting limits, including the recovery of the
fluctuation-dissipation theorem near linear response, as well as some drawbacks
inherent of the Markovian description arising from the neglect of quantum
fluctuations.Comment: Accepted in New Journal of Physics. Updated tex
Microwave studies of the fractional Josephson effect in HgTe-based Josephson junctions
The rise of topological phases of matter is strongly connected to their
potential to host Majorana bound states, a powerful ingredient in the search
for a robust, topologically protected, quantum information processing. In order
to produce such states, a method of choice is to induce superconductivity in
topological insulators. The engineering of the interplay between
superconductivity and the electronic properties of a topological insulator is a
challenging task and it is consequently very important to understand the
physics of simple superconducting devices such as Josephson junctions, in which
new topological properties are expected to emerge. In this article, we review
recent experiments investigating topological superconductivity in topological
insulators, using microwave excitation and detection techniques. More
precisely, we have fabricated and studied topological Josephson junctions made
of HgTe weak links in contact with two Al or Nb contacts. In such devices, we
have observed two signatures of the fractional Josephson effect, which is
expected to emerge from topologically-protected gapless Andreev bound states.
We first recall the theoretical background on topological Josephson junctions,
then move to the experimental observations. Then, we assess the topological
origin of the observed features and conclude with an outlook towards more
advanced microwave spectroscopy experiments, currently under development.Comment: Lectures given at the San Sebastian Topological Matter School 2017,
published in "Topological Matter. Springer Series in Solid-State Sciences,
vol 190. Springer