1. Challenge the future Delft University of Technology Phase-slip Oscillator Alina M. Hriscu, Yuli V. Nazarov Kavli Institute for Nanoscience, TU Delft Acknowledgements : Hans Mooij, Kees Harmans, Ad Verbruggen, Tomoko Fuse

2. 2 Quantum Engineering of States and Devices, 06.06.2010, Obergurgl A.M. Hriscu, Phase-slip oscillator (quantum) Phase-slips Superconducting wires : d≈10 nm resistance below Tc Thermally-activated phase-slips  slip of the phase => "phase-slip“ Quantum phase-slips proposed for qu-bit coherent! not experimentally confirmed yet Introduction Our idea: other means of sensitive measurements? Mooij and Harmans (2005) Schön (2000) time

3. 3 Quantum Engineering of States and Devices, 06.06.2010, Obergurgl A.M. Hriscu, Phase-slip oscillator Phase-slip oscillator Damped LC oscillator + phase-slip wire Γ : OSCILLATOR QUALITY n=… n=1 n=0 E S =0ES≠0ES≠0

4. 4 Quantum Engineering of States and Devices, 06.06.2010, Obergurgl A.M. Hriscu, Phase-slip oscillator Unusual non-linearities Gate voltage sensitivity More interesting problem phase-slip amplitude charge Correction to the energy levels

5. 5 Quantum Engineering of States and Devices, 06.06.2010, Obergurgl A.M. Hriscu, Phase-slip oscillator Intermezzo : Non-linearities Duffing oscillator Phase-slip oscillator Usual Unusual Resonance spectrum Non-linearities ?

6. 6 Quantum Engineering of States and Devices, 06.06.2010, Obergurgl A.M. Hriscu, Phase-slip oscillator Phase-slip Oscillator: Results Lorentzian “Corkscrew” NO non-linearities UNUSUAL non-linearities I. Semiclassical N= Number of photons Multiple solutions Enables experimental detection 0 Detuning 

7. 7 Quantum Engineering of States and Devices, 06.06.2010, Obergurgl A.M. Hriscu, Phase-slip oscillator Phase-slip Oscillator: Results 1 semiclassical metastable state 1 SINGLE quantum state Confirms existence of meta-stable states Hysteresis Long life-times Pure states Slow switching II. Quantum YES! Semiclassical prediction Quantum : loops n ?

8. 8 Quantum Engineering of States and Devices, 06.06.2010, Obergurgl A.M. Hriscu, Phase-slip oscillator Phase-slip oscillator Novel system in superconducting electronics Unusual non-linearities At small number of photons Tunable with Usable in many applications ultrasensitive measurements, quantum manipulation, etc. Detection of quantum phase-slip Oscillatory dependence on gate voltage Measurement of responses of the oscillator Conclusions http://arxiv.org/abs/0912.3699http://arxiv.org/abs/0912.3699 (Submitted to PRL)