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Christian Lupien

Publications and source records attributed to Christian Lupien.

At least 19 recordsLinked to original sources

Multimode RF Reflectometry for Spin Qubit Readout and Device Characterization

We introduce a multimode superconducting inductor architecture that enables radio-frequency reflectometry at multiple discrete frequencies up to 2 GHz, addressing limitations of conventional single-mode designs. The spiral inductor's distributed inter-turn capacitance yields distinct resonant modes with varied impedance-matching conditions. By probing a quantum dot across several modes, we extract tunneling rates over a broad frequency range and identify signatures of nearby charge defects. Using one of the higher-order modes, we demonstrate single-shot spin readout via a radio-frequency single-electron transistor (RF-SET), achieving singlet-triplet readout with an integration time of 8 us and a readout fidelity of 98%. These results establish multimode inductance as a scalable and flexible component for fast spin-qubit readout and device-quality characterization.

cond-mat.mes-hall

Rapid Autotuning of a SiGe Quantum Dot into the Single-Electron Regime with Machine Learning and RF-Reflectometry FPGA-Based Measurements

Spin qubits need to operate within a very precise voltage space around charge state transitions to achieve high-fidelity gates. However, the stability diagrams that allow the identification of the desired charge states are long to acquire. Moreover, the voltage space to search for the desired charge state increases quickly with the number of qubits. Therefore, faster stability diagram acquisitions are needed to scale up a spin qubit quantum processor. Currently, most methods focus on more efficient data sampling. Our approach shows a significant speedup by combining measurement speedup and a reduction in the number of measurements needed to tune a quantum dot device. Using an autotuning algorithm based on a neural network and faster measurements by harnessing the FPGA embedded in Keysight's Quantum Engineering Toolkit (QET), the measurement time of stability diagrams has been reduced by a factor of 9.8. This led to an acceleration factor of 2.2 for the total initialization time of a SiGe quantum dot into the single-electron regime, which is limited by the Python code execution.

cond-mat.mes-hall

Higgs mode in superconducting Titanium nanostructures

We report observations of Higgs modes in superconducting Titanium nanostructures at very low temperature. They appear as anomalies in the microwave complex impedance of the samples revealed by the presence of a dc supercurrent. By varying the sample geometry and contact material, we probe how the Higgs modes are sensitive to the dimensionality of superconductivity, the penetration of the dc and ac current densities in the sample and the dissipation in the contacts.

cond-mat.supr-con

Time-resolved quantum correlations in electronic noise

The statistics of quantum transport in nanostructures can be tailored by a time-dependent bias voltage $V(t)$. We demonstrate experimentally how correlations of current fluctuations at two different times $t$ and $t+τ$ depend on the shape of $V(t)$ via the phase accumulated by the electronic wavefunctions between $t$ and $t+τ$. For this we measure the current-current correlation of the shot noise of an ac+dc biased tunnel junction using a 10 GHz bandwidth, time-resolved detection. Our result allows to explore correlations within a single excitation period. It demonstrates the counterpart of the ac Josephson effect in superconducting junctions, to a normal, non-superconducting mesoscopic device.

cond-mat.mes-hall

Probability Currents in Out-of-Equilibrium Microwave Circuits

In this work we reconstruct the probability current in phase space of out-of-equilibrium microwave circuits. This is achieved by a statistical analysis of short-time correlations in time domain measurements. It allows us to check locally in phase space the violation of detailed balance or the presence of fluctuation loops. We present the data analysis methods and experimental results for several microwave circuits driven by two noise sources in the 4-8GHz frequency range.

cond-mat.stat-mech

Violation of detailed balance in microwave circuits: theory and experiment

We propose a new approach to detailed balance violation in electrical circuits by relying on the scattering matrix formalism commonly used in microwave electronics. This allows to include retardation effects which are paramount at high frequencies. We define the spectral densities of phase space angular momentum, heat transfer and cross power, which can serve as criteria for detailed balance violation. We confirm our theory with measurements in the 4-8 GHz frequency range on several two port circuits of varying symmetries, in space and time. This validates our approach, which will allow to treat quantum circuits at ultra-low temperature.

cond-mat.mes-hall

Photocount statistics of the Josephson parametric amplifier: a question of detection

Parametric amplifiers are known to squeeze the vacuum state of the electromagnetic field, which results in predictable statistics of the photocounts at their output. However, recent theoretical work arXiv:1112.4159 predicts a very different statistical distribution for an amplifier based on a Josephson junction. We test the hypothesis experimentally and recover the expected squeezed vacuum statistics. We explain this discrepancy by showing theoretically how the photocount statistics is dictated by the detection process, from single mode (our experiment) to multimode, fully resolved in frequency (as in arXiv:1112.4159).

quant-ph

Noise feedback in an electronic circuit

Electronic circuits are built by combining components with known current/voltage characteristics, which are intrinsic to each component and independent of the rest of the circuit. This approach breaks down for nanostructures placed at ultra-low temperature, a phenomenon referred to as Dynamical Coulomb Blockade, and usually attributed to quantum effects. Here we report similar phenomena on a simple circuit at room temperature, devoid of any quantum features: an avalanche diode in series with a resistor, where the current/voltage characteristics of the diode depends strongly on the value of the resistor. We show that the key ingredient for this is the feedback of the noise of the component on itself through the rest of the circuit. Moreover, we have developed a theory that links transport and noise in the presence of an external electromagnetic environment, which explains very well our experimental results.

cond-mat.mes-hall

Quantitative Measurements of Giant and Quantized Microwave Faraday Rotation

We report {\it quantitative} microwave Faraday rotation measurements conducted with a high-mobility two-dimensional electron gas (2DEG) in a GaAs/AlGaAs semiconductor heterostructure. In a magnetic field, the Hall effect and the Faraday effect arise from the action of Lorentz force on electrons in the 2DEG. As with the Hall effect, a classical Faraday effect is observed at low magnetic field as well as a quantized Faraday effect at high magnetic field. The high electron mobility of the 2DEG enables a giant single-pass Faraday rotation of $θ_F^{max} \simeq 45^\circ$ $(\simeq0.8$~rad) to be achieved at a modest magnetic field of $B \simeq 100$~mT. In the quantum regime, we find that the Faraday rotation $θ_F$ is quantized in units of $α^*= 2.80(4)α$, where $α\simeq 1/137$ is the fine structure constant. The enhancement in rotation quantum $α^* > α$ is attributed to electromagnetic confinement within a waveguide structure.

cond-mat.mes-hall

Shot Noise of a Temperature-Biased Tunnel Junction

We report the measurement of the current noise of a tunnel junction driven out-of-equilibrium by a temperature and/or voltage difference, i.e. the charge noise of heat and/or electrical current. This is achieved by a careful control of electron temperature below 1 K at the nanoscale, and a sensitive measurement of noise with wide bandwidth, from 0.1 to 1 GHz. An excellent agreement between experiment and theory with no fitting parameter is obtained. In particular, we find that the current noise of the junction of resistance R when one electrode is at temperature T and the other one at zero temperature is given by S = 2 ln2 kB T /R.

cond-mat.mes-hall

Fundamental and Environmental Contributions to the Cyclostationary Third Moment of Current Fluctuations in a Tunnel Junction

Current fluctuations generated by tunnel junctions are known to be non-Gaussian. However, this property is lost when fluctuations are measured at high frequency and limited bandwidth. We show that the quadratures of the electric field generated by a tunnel junction at frequency $f$ displays third order correlations, i.e. skewness, when the junction is electrically driven at $3f$, revealing the Poisonnian statistic of charge transfer by the barrier even at short time-scales. In addition to this intrinsic contribution from the junction, we observe extra correlations induced by the environmental noise at frequency $f$ as well as a feedback effects coming from the environmental impedance not only at frequency $f$ but also at some multiples of $f$.

cond-mat.mes-hall

Statistics of the quantized microwave electromagnetic field in mesoscopic elements at low temperature

The quantum behaviour of the electromagnetic field in mesoscopic elements is intimately linked to the quantization of the charge. In order to probe nonclassical aspects of the field in those elements, it is essential that thermal noise be reduced to the quantum level, i.e. to scales where kT < hν. This is easily achieved in dilution refrigerators for frequencies of a few GHz, i.e. in the microwave domain. Several recent experiments have highlighted the link between discrete charge transport and discrete photon emission in simple mesoscopic elements such as a tunnel junction. Photocount statistics are inferred from the measurement of continuous variables such as the quadratures of the field.

quant-ph

Photon-assisted Dynamical Coulomb Blockade in a Tunnel Junction

We report measurements of photon-assisted transport and noise in a tunnel junction in the regime of dynamical Coulomb blockade. We have measured both dc non-linear transport and low frequency noise in the presence of an ac excitation at frequencies up to 33 GHz. In both experiments we observe replicas at finite voltage of the zero bias features, a phenomenon characteristic of photon emission/absorption. However, the ac voltage necessary to explain our data is notably different for transport and noise, indicating that usual theory of photon-assisted phenomena fails to account for our observations.

cond-mat.mes-hall

Non-Gaussian Current Fluctuations in a Short Diffusive Conductor

We report the measurement of the third moment of current fluctuations in a short metallic wire at low temperature. The data are deduced from the statistics of voltage fluctuations across the conductor using a careful determination of environmental contributions. Our results at low bias agree very well with theoretical predictions for coherent transport with no fitting parameter. By increasing the bias voltage we explore the cross-over from elastic to inelastic transport.

cond-mat.mes-hall

Characterization and control of charge transfer in a tunnel junction

Charge transfer in a tunnel junction is studied under dc and ac voltage bias using quantum shot noise. Under dc voltage bias $V$, spectral density of noise measured within a very large bandwidth enables to deduce the current-current correlator in the time domain by Fourier transform. This correlator exhibits regular oscillations proving that electrons try to cross the junction regularly, every $h/eV$. Using harmonic and bi-harmonic ac voltage bias, we then show that quasiparticles excitations can be transferred through the junction in a controlled way. By measuring the reduction of the excess shot noise, we are able to determine the number of electron-hole pairs surrounding the injected electrons and demonstrate that bi-harmonic voltage pulses realize an on-demand electron source with a very small admixture of electron-hole pairs.

cond-mat.mes-hall

Non-Classical Radiation Emission By A Coherent Conductor

We report experimental evidence that the microwave electromagnetic field generated by a normal conductor, here a tunnel junction placed at ultra-low temperature, can be non-classical. By measuring the quadratures of the electromagnetic field at one or two frequencies in the GHz range, we demonstrate the existence of squeezing as well as entanglement in such radiation. In one experiment, we observe that the variance of one quadrature of the photo-assisted noise generated by the junction goes below its vacuum level. In the second experiment, we demonstrate the existence of correlations between the quadratures taken at two frequencies, which can be stronger than allowed by classical mechanics, proving that the radiation at those two frequencies are entangled.

cond-mat.mes-hall

Direct measurement of the electron energy relaxation dynamics in metallic wires

We present measurements of the dynamical response of thermal noise to an ac excitation in conductors at low temperature. From the frequency dependence of this response function - the noise thermal impedance - in the range 1 kHz-1 GHz we obtain direct determinations of the inelastic relaxation times relevant in metallic wires at low temperature: the electron-phonon scattering time and the diffusion time of electrons along the wires. Combining these results with that of resistivity provides a measurement of heat capacity of samples made of thin film. The simplicity and reliability of this technique makes it very promising for future applications in other systems.

cond-mat.mes-hall

Photon pair shot noise in electron shot noise

There exists a fascinating dual representation of the electric ac current flowing through a normal conductor. On the one hand, it can be understood in terms of charge transport. On the other hand, it consists in an electomagnetic field guided by conducting structures embedded in an insulator. The former point of view, in its quantum version, is particularly adapted to describe the electron shot noise in a coherent conductor, like a tunnel junction at ultra-low temperature. However, when the junction is appropriately biased by a dc and an ac voltage, the noise it generates is best analyzed using the latter representation and the tools of quantum optics, as the radiation exhibits clear signs of non-classicality. Herein, we report the measurement of the statistics of photons emitted by such a tunnel junction. We observe a photon shot noise characteristic of photon pair emission, as its Fano factor for small signal is above unity. The theory of electron shot noise, dealing exclusively with the tunneling of charges through the junction, quantitatively fits the data from which photon shot noise is extracted. This experiment thus provides a clear link between the dual representations.

cond-mat.mes-hall