Short-periodic-orbit method for excited chaotic eigenfunctions

Revuelta Peña, Fabio and Vergini, E. and Benito, R. M. and Borondo, F. (2020). Short-periodic-orbit method for excited chaotic eigenfunctions. "Physical Review E", v. 102 ; pp.. ISSN 2470-0053.


Title: Short-periodic-orbit method for excited chaotic eigenfunctions
  • Revuelta Peña, Fabio
  • Vergini, E.
  • Benito, R. M.
  • Borondo, F.
Item Type: Article
Título de Revista/Publicación: Physical Review E
Date: 9 October 2020
ISSN: 2470-0053
Volume: 102
Freetext Keywords: localización, scars, autofunción, caos
Faculty: E.T.S. de Ingeniería Agronómica, Alimentaria y de Biosistemas (UPM)
Department: Ingeniería Agroforestal
UPM's Research Group: Sistemas Complejos GSC
Creative Commons Licenses: None

Full text

PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (3MB) | Preview


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.

Funding Projects

Madrid Regional GovernmentM190020074FRPGeoCoSiMFabio Revuelta PeñaGeometría y Control de Sistemas Complejos. Nuevas perspectivas
Universidad Politécnica de MadridVJIDOCUPM19FRPUnspecifiedFabio Revuelta PeñaControl Clásico y Cuántico de Sistemas Complejos
Government of SpainPGC2018-093854-B-I00CHACOMRosa María Benito, Floretino BorondoCaos Hamiltoniano y Complejidad en Sistemas Dinámicos
Government of SpainMTM2015-63914-PUnspecifiedRosa María BenitoCaos Clásico y Cuántico en Sistemas Dinámicos y Complejidad
Government of SpainSEV-2015-0554UnspecifiedUnspecifiedUnspecified
Government of SpainCEX2019-000904-SUnspecifiedUnspecifiedUnspecified

More information

Item ID: 65107
DC Identifier:
OAI Identifier:
DOI: 10.1103/PhysRevE.102.042210
Official URL:
Deposited by: Fabio Fabio Revuelta Peña
Deposited on: 30 Oct 2020 09:17
Last Modified: 30 Oct 2020 09:17
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM