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Quantum three-wave instability

Michael Q. May* and Hong Qin†

  • Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08540, USA

  • *mqmay@princeton.edu
  • †hongqin@princeton.edu
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Phys. Rev. A 107, 062204 – Published 6 June, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.062204

Abstract

For the three-wave interaction, the lowest-order nonlinear interaction in plasma dynamics, we describe how the quantum system, which is time-independent, nonchaotic, finite-dimensional, and Hermitian, can give rise to a linear instability corresponding to that in the classical system. We show that the instability is realized in the quantum regime as a cascade of the wave function in the space of occupation number states, and the unstable quantum system has a richer spectrum and a much longer recurrence time than the stable quantum system. The conditions for instability of the quantum three-wave interaction are described.

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Phys. Rev. A 107, 062204– Published 6 June, 2023
  • Received 22 August 2022
  • Accepted 4 May 2023
Article part of CHORUS
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