Nonlinear dynamics of a strongly driven single spin solid state qubit~

ORAL

Abstract

This talk will discuss how dynamical systems theory can yield new insight into some exotic behavior found in experiments on strongly driven quantum spins in silicon/silicon-germanium heterostructures. ~Spin resonance experiments were performed by using ac voltages to drive an electron wavefunction in a strong magnetic field gradient. ~Nontrivial dependence of the resonance frequency on applied power, including the observation of multiple resonant frequencies at one power, are shown to be consistent with frequency-dependent attenuation in the high-frequency lines. ~The method of analysis is very similar to that presented in the course on nonlinear dynamics that Leo Kadanoff developed at the University of Chicago in the early 1990's.

*This work was supported in part by ARO (W911NF-12-0607). Development and maintenance of the growth facilities used for fabricating samples is supported by DOE (DE-FG02-03ER46028). This research utilized NSF-supported shared facilities at UW-Madison.

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Authors

  • S. N. Coppersmith

    • University of Wisconsin, Madison
    • University of Wisconsin-Madison
    • University of Wisconsin-Madison, Madison, WI 53706, USA
    • Univ of Wisconsin, Madison
    • University of Wisconsin Madison
    • Wisconsin Institute for Quantum Information, University of Wisconsin-Madison

  • Thibaut Jullien

    • QuTech and Kavli Institute of Nanoscience, TU Delft, Lorentzweg 1, 2628 CJ Delft, The Netherlands

  • P. Scarlino

    • QuTech and Kavli Institute of Nanoscience, TU Delft, Lorentzweg 1, 2628 CJ Delft, The Netherlands

  • E. Kawakami

    • QuTech and Kavli Institute of Nanoscience, TU Delft, Lorentzweg 1, 2628 CJ Delft, The Netherlands

  • D. R. Ward

    • University of Wisconsin-Madison, Madison, WI 53706, USA

  • D. E. Savage

    • University of Wisconsin-Madison, Madison, WI 53706, USA

  • M. G. Lagally

    • University of Wisconsin-Madison, Madison, WI 53706, USA

  • Mark Friesen

    • University of Wisconsin-Madison, Madison, WI 53706, USA

  • M. A. Eriksson

    • University of Wisconsin-Madison, Madison, WI 53706, USA

  • L. M. K. Vandersypen

    • QuTech and Kavli Institute of Nanoscience, TU Delft, Lorentzweg 1, 2628 CJ Delft, The Netherlands