Uniform semiclassical approach to fidelity decay in the deep Lyapunov regime

Wen-ge Wang, G. Casati, Baowen Li, and T. Prosen

Phys. Rev. E 71, 037202 – Published 24 March 2005

Abstract

We use the uniform semiclassical approximation in order to derive the fidelity decay in the regime of large perturbations. Numerical computations are presented which agree with our theoretical predictions. Moreover, our theory allows us to explain previous findings, such as the deviation from the Lyapunov decay rate in cases where the classical finite-time instability is nonuniform in phase space.

Received 2 August 2004

DOI:https://doi.org/10.1103/PhysRevE.71.037202

Authors & Affiliations

Wen-ge Wang^1,2, G. Casati^3,4,1, Baowen Li¹, and T. Prosen^5,1

¹Department of Physics, National University of Singapore, 117542, Republic of Singapore
²Department of Physics, Southeast University, Nanjing 210096, People’s Republic of China
³Center for Nonlinear and Complex Systems, Università degli Studi dell’Insubria and Istituto Nazionale per la Fisica della Materia, Unità di Como, Via Valleggio 11, 22100 Como, Italy
⁴Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Via Celoria 16, 20133 Milano, Italy
⁵Physics Department, Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia

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Vol. 71, Iss. 3 — March 2005

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics

Uniform semiclassical approach to fidelity decay in the deep Lyapunov regime

Wen-ge Wang, G. Casati, Baowen Li, and T. Prosen

Phys. Rev. E 71, 037202 – Published 24 March 2005

Abstract

Authors & Affiliations

Article Text (Subscription Required)

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Physical Review E

covering statistical, nonlinear, biological, and soft matter physics

Uniform semiclassical approach to fidelity decay in the deep Lyapunov regime

Wen-ge Wang, G. Casati, Baowen Li, and T. Prosen

Phys. Rev. E 71, 037202 – Published 24 March 2005

Abstract

Authors & Affiliations

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