Semiclassical Spectra without Periodic Orbits for a Kicked Top

Peter Gerwinski, Fritz Haake, Harald Wiedemann, Marek Kuś, and Karol Życzkowski
Phys. Rev. Lett. 74, 1562 – Published 27 February 1995
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Abstract

We present an ħ0 approximation for the quasienergy spectrum of a periodically kicked top, valid under conditions of both regular and chaotic classical motion. In contrast to conventional periodic-orbit theory we implement the semiclassical limit for each matrix element of the Floquet operator rather than for the trace of the propagator. Even though a classical looking action is involved, the approximate matrix elements are specified in terms of complex ghost trajectories instead of real classical orbits. Our mean error for the quasienergies is a surprisingly small 3% of the mean spacing.

  • Received 24 June 1994

DOI:https://doi.org/10.1103/PhysRevLett.74.1562

©1995 American Physical Society

Authors & Affiliations

Peter Gerwinski, Fritz Haake, and Harald Wiedemann

  • Fachbereich Physik, Universität-Gesamthochschule Essen, 54117 Essen, Germany

Marek Kuś

  • Centrum Fizyki Teoretycznej, Polska Akademia Nauk, PL-02-668 Warsaw, Poland

Karol Życzkowski

  • Instytut Fizyki, Uniwersytet Jagielloński, ul. Reymonta 4, PL-30-059 Kraków, Poland

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Issue

Vol. 74, Iss. 9 — 27 February 1995

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