Short-periodic-orbit method for excited chaotic eigenfunctions

F. Revuelta, E. Vergini, R. M. Benito, and F. Borondo
Phys. Rev. E 102, 042210 – Published 9 October 2020

Abstract

An alternative method for the calculation of excited chaotic eigenfunctions in arbitrary energy windows is presented. We demonstrate the feasibility of using wave functions localized on unstable periodic orbits as efficient basis sets for this task in classically chaotic systems. The number of required localized wave functions is only of the order of the ratio tH/tE, with tH the Heisenberg time and tE the Ehrenfest time. As an illustration, we present convincing results for a coupled two-dimensional quartic oscillator with chaotic dynamics.

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  • Received 17 May 2019
  • Revised 21 August 2020
  • Accepted 18 September 2020

DOI:https://doi.org/10.1103/PhysRevE.102.042210

©2020 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear Dynamics

Authors & Affiliations

F. Revuelta1,*, E. Vergini2,†, R. M. Benito1,‡, and F. Borondo3,4,§

  • 1Grupo de Sistemas Complejos, Escuela Técnica Superior de Ingeniería Agronómica, Alimentaria y de Biosistemas, Universidad Politécnica de Madrid, Avenida Puerta de Hierro 2-4, 28040 Madrid, Spain
  • 2Departamento de Física, Comisión Nacional de Energía Atómica, Avenida del Libertador 8250, 1429 Buenos Aires, Argentina
  • 3Instituto de Ciencias Matemáticas (ICMAT), Cantoblanco, 28049 Madrid, Spain
  • 4Departamento de Química, Universidad Autónoma de Madrid, Cantoblanco, 28049 Madrid, Spain

  • *fabio.revuelta@upm.es
  • vergini@tandar.cnea.gov.ar
  • rosamaria.benito@upm.es
  • §f.borondo@uam.es

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Issue

Vol. 102, Iss. 4 — October 2020

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