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[02024] Quantum asymptotic phase function on the basis of Koopman operator theory

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @D404
  • Type : Contributed Talk
  • Abstract : The asymptotic phase function is a fundamental quantity for analyzing classical limit-cycle oscillators. In this study, we define the asymptotic phase function for quantum nonlinear oscillators by using the eigenoperator of the Koopman operator associated with the fundamental oscillation frequency. In an example of a quantum van der Pol oscillator with a Kerr effect, we demonstrate that the proposed asymptotic phase appropriately yields isochronous phase values in both semiclassical and strong quantum regimes.
  • Classification : 81-XX, 34L05, 92B25, Quantum synchronization, nonlinear dynamics, Koopman operator theory
  • Format : Talk at Waseda University
  • Author(s) :
    • Yuzuru Kato (Future University Hakodate)
    • Hiroya Nakao (Tokyo Institute of Technology)