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Phase-slip Oscillator

Phase-slip Oscillator. Alina M. Hriscu, Yuli V. Nazarov Kavli Institute for Nanoscience, TU Delft. Acknowledgements : Hans Mooij, Kees Harmans, Ad Verbruggen, Tomoko Fuse. (quantum) Phase-slips. Introduction. Superconducting wires : d≈10 nm resistance below Tc

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Phase-slip Oscillator

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  1. 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. (quantum) Phase-slips Introduction • Superconducting wires : d≈10 nm • resistance below Tc • Thermally-activated phase-slips • 2pslip of the phase => "phase-slip“ • Quantum phase-slips • proposed for qu-bit • coherent! • not experimentally confirmed yet time Mooij and Harmans (2005) Schön (2000) • Our idea: other means of sensitive measurements?

  3. Phase-slip oscillator Damped LC oscillator + phase-slip wire Γ : OSCILLATOR QUALITY ES=0 ES≠0 n=… n=1 n=0

  4. Unusual non-linearities • Correction to the energy levels phase-slip amplitude charge Gate voltage sensitivity Unusual non-linearities • More interesting problem

  5. Intermezzo: Non-linearities Duffing oscillator Phase-slip oscillator Usual Unusual Resonance spectrum Non-linearities ?

  6. Phase-slip Oscillator: Results I. Semiclassical Lorentzian “Corkscrew” NO non-linearities UNUSUAL non-linearities 0 Numberof photons N= <n> w Detuning • Multiple solutions • Enables experimental detection

  7. Phase-slip Oscillator: Results II. Quantum ? 1 semiclassical metastable state 1SINGLE quantum state • Confirms existence of meta-stable states • Hysteresis • Long life-times Pure states • Slow switching Semiclassical prediction Quantum : loops n YES!

  8. Phase-slip oscillator Conclusions • 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 http://arxiv.org/abs/0912.3699(Submitted to PRL)

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