Self-sustained harmonic oscillators in the quantum regime

ORAL

Abstract

Self-sustained harmonic oscillators play an important role in the self-organization of dynamical classical systems. Recent work [1] clarified the classical-to-quantum correspondence for three different types of oscillators, namely the Raleigh oscillator, the van der Pol oscillator, and the Raleigh-van der Pol oscillator. In the classical regime, these oscillators are characterized by non-linearities that are proportional to the square of the velocity, proportional to the square of the position, and proportional to the kinetic energy, respectively. Using a master equation-based formulation, this contribution will present results for the quantum dynamics of self-sustained oscillators. Comparisons with classical trajectory calculations will also be presented. [1] L.B. Arosh, M.C. Cross, and R. Lifshitz, Physical Review Research 3, 013130 (2021).

*Support by the OU Honors Research Assistant Program is gratefully acknowledged.

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Presenters

  • A. J Sudler

    • Homer L. Dodge Department of Physics and Astronomy, Center for Quantum Research and Technology, University of Oklahoma

Authors

  • A. J Sudler

    • Homer L. Dodge Department of Physics and Astronomy, Center for Quantum Research and Technology, University of Oklahoma

  • J. Talukdar

    • Homer L. Dodge Department of Physics and Astronomy, Center for Quantum Research and Technology, University of Oklahoma

  • Doerte Blume

    • University of Oklahoma
    • Homer L. Dodge Department of Physics and Astronomy, Center for Quantum Research and Technology, University of Oklahoma
    • The University of Oklahoma
    • Center for Quantum Research and Technology, The University of Oklahoma, 440 W. Brooks Street, Norman, Oklahoma 73019, USA