scholarly journals Stability of quantum motion: Beyond Fermi-golden-rule and Lyapunov decay

2004 ◽  
Vol 69 (2) ◽  
Author(s):  
Wen-ge Wang ◽  
G. Casati ◽  
Baowen Li
Keyword(s):  
Golden Rule ◽  
Fermi Golden Rule ◽  
Quantum Motion

STABILITY OF QUANTUM MOTION: A SEMICLASSICAL APPROACH

2007 ◽  
Vol 21 (23n24) ◽  
pp. 4280-4283
Author(s):  
WEN-GE WANG ◽  
BAOWEN LI
Keyword(s):  
Classical Limit ◽  
Golden Rule ◽  
Semiclassical Theory ◽  
Fermi Golden Rule ◽  
Semiclassical Approach ◽  
Complex Behaviour ◽  
Regular Motion ◽  
Power Law Decay ◽  
Quantum Motion ◽  
Fidelity Decay

A semiclassical theory is used for the study of fidelity. For systems with weak chaos in the classical limit, we show that the fidelity has a non-Fermi-Golden-Rule decay, which can be explained by the closeness of the distribution of action difference in the semiclassical theory to the Levy distribution. For systems with strong chaos in the classical limit, we present a semiclassical expression for fidelity decay in the Lyapunov regime, which is more general than the previously predicted Lyapunov decay and λ1 decay of fidelity. For systems with regular motion in the classical limit, we derive the fidelity decay for initial narrow Gaussian wavepackets, which displays a quite complex behaviour, from Gaussian to power law decay t−α with 1 ≤ α ≤ 2.

scholarly journals Loschmidt echo for local perturbations: non-monotonic cross-over from the Fermi-golden-rule to the escape-rate regime

2008 ◽  
Vol 10 (9) ◽  
pp. 093010 ◽  
Author(s):  
Arseni Goussev ◽  
Daniel Waltner ◽  
Klaus Richter ◽  
Rodolfo A Jalabert
Keyword(s):  
Golden Rule ◽  
Escape Rate ◽  
Fermi Golden Rule ◽  
Local Perturbations ◽  
Loschmidt Echo

scholarly journals Metastable States When the Fermi Golden Rule Constant Vanishes

2014 ◽  
Vol 334 (3) ◽  
pp. 1189-1218 ◽  
Author(s):  
Horia D. Cornean ◽  
Arne Jensen ◽  
Gheorghe Nenciu
Keyword(s):  
Golden Rule ◽  
Metastable States ◽  
Fermi Golden Rule
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