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Download Interaction between quantum dots and superconducting microwave resonators Tobias Frey
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Interaction between quantum dots and superconducting microwave resonators Tobias Frey Supervisors: P. J. Leek, T. Ihn, K. Ensslin, A. Wallraff Collaborators: M. Beck, J. Faist, M. Büttiker, A. Blais Motivation Interconnect the worlds of semiconductor and superconductor based quantum circuits Motivation Interconnect the worlds of semiconductor and superconductor based quantum circuits Circuit quantum electrodynamics + Wallraff et al., Nature (2004) Petta et al., Science (2005) Spin qubits in quantum dots Motivation Interconnect the worlds of semiconductor and superconductor based quantum circuits Circuit quantum electrodynamics + Potential benefits: • To enable long distance coherent coupling • Implement alternative measurement / read-out scheme • Realize interfaces between quantum systems Wallraff et al., Nature (2004) Petta et al., Science (2005) Spin qubits in quantum dots Hybrid quantum device Microwave resonator GaAs/AlGaAs 35nm 2DEG depth Aluminum resonator res≈ 6.75 GHz Q ≈ 2600 T. Frey et al, PRL 108, 046807 (2012) Hybrid Quantum Dot / Circuit QED Measurement Setup hybrid sample holder 7mm T. Frey, ETH PhD thesis (2013) Hybrid Quantum Dot / Circuit QED Measurement Setup hybrid sample holder 7mm 5 cm ~10 mK plate of cryostat T. Frey, ETH PhD thesis (2013) Hybrid Quantum Dot / Circuit QED Measurement Setup hybrid sample holder Pulse tube cooled cryostat 38 cm 5 cm ~10 mK plate of cryostat T. Frey, ETH PhD thesis (2013) 7mm Single dot physics T. Frey, ETH PhD thesis (2013), more details T. Ihn, Oxford University Press (2010) Single dot physics T. Frey, ETH PhD thesis (2013), more details T. Ihn, Oxford University Press (2010) Charge stability diagram: double dot each dot coupled only to its gate Slide courtesy of Klaus Ensslin Charge stability diagram: double dot each dot coupled only to its gate each dot coupled to both gates Slide courtesy of Klaus Ensslin Charge stability diagram: double dot each dot coupled only to its gate each dot coupled to both gates both dots coupled to each other Slide courtesy of Klaus Ensslin Transport through the double quantum dot charging energy ~1 meV; many electron regime T. Frey et al, PRB 86, 115303 (2012) Transport through the double quantum dot (N , M) charging energy ~1 meV; many electron regime T. Frey et al, PRB 86, 115303 (2012) Double Dot Current and Resonator Transmission (N,M+1) Transport measurements: (N,M) (N-1,M) (N,M-1) Resonator transmission : • amplitude • phase T. Frey et al, PRL 108, 046807 (2012) (N+1,M) Double Dot Current and Resonator Transmission (N,M+1) Transport measurements: (N,M) (N-1,M) (N,M-1) Resonator transmission : • amplitude • phase T. Frey et al, PRL 108, 046807 (2012) (N+1,M) Charging Diagrams in Current, Amplitude and Phase current: amplitude: phase: T. Frey et al, PRL 108, 046807 (2012) Charging Diagrams in Current, Amplitude and Phase current: amplitude: phase: • systematic changes in transmission amplitude and phase • equivalent charging diagrams … • … but different physical origin of signal T. Frey et al, PRL 108, 046807 (2012) Charging Diagrams in Current, Amplitude and Phase T. Frey et al, PRL 108, 046807 (2012) parts of slide courtesy of Thomas Ihn current: amplitude: phase: detuning d: d d Charging Diagrams in Current, Amplitude and Phase T. Frey et al, PRL 108, 046807 (2012) parts of slide courtesy of Thomas Ihn current: amplitude: phase: total energy e: e e Charging Diagrams in Current, Amplitude and Phase T. Frey et al, PRL 108, 046807 (2012) parts of slide courtesy of Thomas Ihn current: amplitude: phase: tunnel coupling t : 2t Resonator/Double-Dot Interaction Center Gate Voltage (VC) Influence Tune t, with VC T. Frey, ETH PhD thesis (2013) Resonator/Double-Dot Interaction Center Gate Voltage (VC) Influence VC more negative Tune t, with VC VC more negative T. Frey, ETH PhD thesis (2013) T. Frey et al, PRL 108, 046807 (2012) Detailed Resonator/Double-Dot Interaction T. Frey et al, PRL 108, 046807 (2012) Detailed Resonator/Double-Dot Interaction T. Frey et al, PRL 108, 046807 (2012) parts of slide courtesy of Thomas Ihn Non-Resonant Frequency Shifts E h q 2t d E h q h r h r 2t d Summary • Fabricated integrated semiconductor/superconductor device • Explored novel measurement scheme for quantum dots • Observed first indications of controlled resonator/quantum dot dipole-coupling Outlook • Explore limits of coherence • Work towards coherent interface • Evaluate potential to investigate spin physics • Use resonator as a coupling bus in semiconductor-based QIP T. Frey, P. J. Leek, M. Beck, A. Blais, T. Ihn, K. Ensslin and A. Wallraff, PRL 108, 046807 (2012)