General relation between quantum ergodicity and fidelity of quantum dynamics

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 65, Issue 3, 2002, Pages

  Prosen, Tomaž ^a  

^a UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; FUNCTIONS; HAMILTONIANS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; THERMODYNAMICS;

HIBERT SPACE DIMENSION; KICKED ISING MODEL (KI); QUANTUM ERGODICITY; THERMODYNAMIC LIMIT (TL);

QUANTUM THEORY;

EID: 37649031294     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.036208     Document Type: Article

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23. However, in special cases (where certain additional assumptions are valid) and provided that the perturbation is strong enough so that whole fidelity decay is achieved within the Ehrenfest time, the exponent (Formula presented) can be related to the classical Lyapunov exponent as discussed in R.A. Jalabert, H.M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001);
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