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Table of contents
Abstract
Acknowledgements
Acronyms and notations
Introduction
1 Quantum transport in quantum dot circuits
1.1 Transport phenomenology in quantum dots
1.1.1 Energy scales
1.1.2 Transport regimes
1.2 ”Closed” quantum dots
1.2.1 Coulomb blockade
1.2.2 Double quantum dots as qubits
1.3 Kondo physics
1.3.1 From Anderson model to Kondo physics
1.3.2 Kondo resonance conductance and universality
1.4 Quantum dot circuits with superconducting contacts
1.4.1 Proximity effect in a quantum dot
1.4.2 Cooper pair splitter
2 cQED architecture as a probe of dynamics of mesoscopic systems
2.1 Microwave response of mesoscopic circuits
2.1.1 Universal charge relaxation
2.1.2 Dynamics of Kondo physics
2.1.3 ABS spectroscopy
2.2 Mesoscopic circuit QED
2.2.1 Cavity description : Input-output theory
2.2.2 Different coupling schemes to the cavity electromagnetic field
2.2.3 Dissipationless description of a superconducting qubit-cavity system
2.2.4 Mesoscopic circuit QED experiments
2.3 Linear response of circuit to microwave field
2.3.1 Cavity transmission in the circuit linear response regime
2.3.2 Adiabatic limit
2.4 Master equation treatment of coherent coupling between cavity and circuit electronic transitions
2.4.1 Isolated two-level system
2.4.2 Case of a three-level system in a ladder geometry
3 Experimental methods
3.1 Nanofabrication
3.1.1 Sample description and outlook of the fabrication process
3.1.2 Sample cleaning
3.1.3 Patterning of gold alignment crosses, contacting pads and sample number
3.1.4 Niobium coplanar wave-guide resonator and circuit bonding pads and precontacts
3.1.5 Carbon nanotube stamping
3.1.6 Patterning of the device electrodes
3.1.7 Sample mounting and wire-bonding
3.2 Measurement setup
3.2.1 Cryogenics
3.2.2 DC measurements
3.2.3 Microwave measurements
4 Dynamics of Kondo effect at finite frequency
4.1 Predictions and existing measurements on Kondo dynamics
4.2 Kondo phenomenology
4.2.1 Sample
4.2.2 Resonance in absence of excitation
4.2.3 Phenomenology under microwave excitation
4.3 Power-frequency dependance of Kondo conductance peak under microwave excitation
4.3.1 In situ microwave amplitude calibration
4.3.2 Scaled amplitude-frequency conductance map
4.3.3 Ansatz proposed for quantitative analysis
4.4 Test of universality
5 Charge dynamics of a single level coupled to fermionic reservoirs
5.1 An S-QD-N device embedded in a microwave resonator
5.2 Equilibrium charge dynamics in a N-dot junction at finite frequency
5.2.1 Cavity signals as a probe of charge susceptibility
5.2.2 Investigation of charge relaxation universality
5.3 Non equilibrium charge dynamics in an S-dot-N bijunction
5.3.1 Crossed measurement of dot conductance and cavity response
5.3.2 Photon-assisted tunnelling between a dot and a superconductor
5.4 Summary and discussion
6 Strong coupling of a Cooper pair splitter to cavity photons
6.1 Sample and setup
6.2 DC transport
6.3 Cavity response
6.3.1 Resonant behaviour
6.3.2 Strong coupling
6.4 Preliminary microscopic interpretation
6.4.1 Three-level ladder scenario
6.4.2 Sub-gap transitions
Conclusion and perspectives
A QD-S and splitter effective hamiltonian
A.1 Schrieffer-Wolff transformation
A.2 S-QD device
A.3 Cooper pair splitter
B Nanofabrication processes
B.1 CPSRES fabrication roadmap
B.2 Quartz stamps with CNT fabrication
B.3 Nb cavity fabrication
B.4 CNT stamping
C Photon number evaluation
C.1 Input power Pin calibration
C.2 Output power Pout calibration
C.3 Photon number
D Supplementary materials on AC Kondo
D.1 Raw data description
D.2 Power calibration and frequency set
D.3 Data extraction and scaling
E Supplementary materials on charge relaxation
E.1 Experimental supplementary
E.2 Theoretical supplementary
Bibliography
