Circuit Quantum Electrodynamics - Yale School of Engineering ...
Circuit Quantum Electrodynamics - Yale School of Engineering ...
Circuit Quantum Electrodynamics - Yale School of Engineering ...
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LIST OF FIGURES 11<br />
8.3 Transmission spectra <strong>of</strong> cQED system at and away from cavity-qubit degeneracy . . 172<br />
8.4 Vacuum Rabi avoided crossing as function <strong>of</strong> bias flux . . . . . . . . . . . . . . . . . 174<br />
8.5 Level separation and linewidth near flux avoided crossing . . . . . . . . . . . . . . . 176<br />
8.6 Vacuum Rabi mode splitting at different drive powers . . . . . . . . . . . . . . . . . 176<br />
8.7 Density plot showing the AC Stark shift and slices at different drive powers . . . . . 178<br />
8.8 AC Stark shift and dephasing rate vs. input power . . . . . . . . . . . . . . . . . . . 179<br />
8.9 Non-linear corrections to the AC Stark effect . . . . . . . . . . . . . . . . . . . . . . 180<br />
8.10 Dephasing due to measurement photons showing higher powers and a more comprehensive theory183<br />
8.11 Measurement setup for <strong>of</strong>f-resonant AC Stark effect and sideband experiments . . . 184<br />
8.12 Lorentzian cavity transmission spectrum and experimental signal frequencies . . . . 185<br />
8.13 AC Stark shift using tone detuned from cavity frequency . . . . . . . . . . . . . . . . 186<br />
8.14 Plots <strong>of</strong> AC Stark shifted qubit transition frequency and linewidth with and <strong>of</strong>f-resonant tone186<br />
8.15 Qubit-cavity energy levels illustrating sideband transitions. . . . . . . . . . . . . . . 187<br />
8.16 Sideband spectroscopy density plot and spectrum . . . . . . . . . . . . . . . . . . . . 188<br />
8.17 Tracking sidebands as function <strong>of</strong> spectroscopy and AC Stark drive tone parameters 190<br />
8.18 Strong dispersive spectral features . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193<br />
8.19 Direct spectroscopic observation <strong>of</strong> quantized cavity photon number . . . . . . . . . 195<br />
8.20 Density and waterfall plots <strong>of</strong> the dispersive cavity’s inherited non-linearity from its coupling to the qubit1<br />
8.21 Anharmonic cavity shifts and linewidths . . . . . . . . . . . . . . . . . . . . . . . . . 199<br />
9.1 Time resolved measurement setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202<br />
9.2 Rabi oscillation experiment and individual time slices . . . . . . . . . . . . . . . . . 204<br />
9.3 Rabi oscillations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 206<br />
9.4 Ramsey fringes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 206<br />
9.5 Histograms <strong>of</strong> single shot measurements . . . . . . . . . . . . . . . . . . . . . . . . . 210<br />
9.6 Single photon source protocol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 212<br />
9.7 Mapping <strong>of</strong> qubit state onto photon states . . . . . . . . . . . . . . . . . . . . . . . . 215<br />
9.8 Spontaneous emission from qubit Rabi oscillations in cavity . . . . . . . . . . . . . . 217<br />
9.9 Single photon fluorescence tomography . . . . . . . . . . . . . . . . . . . . . . . . . . 218<br />
10.1 Sketch <strong>of</strong> two cavities and two qubits . . . . . . . . . . . . . . . . . . . . . . . . . . . 221<br />
10.2 Sketch <strong>of</strong> hybrid circuit QED with molecules . . . . . . . . . . . . . . . . . . . . . . 223
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