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 , with the Heisenberg time and the Ehrenfest time. As an illustration, we present convincing results for a coupled two-dimensional quartic oscillator with chaotic dynamics.
- Received 17 May 2019
- Revised 21 August 2020
- Accepted 18 September 2020
DOI:https://doi.org/10.1103/PhysRevE.102.042210
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