Can Wave Packet Revivals Occur in Chaotic Quantum Systems?
Journal Article
·
· Physical Review Letters
- Department of Physics, Washington State University, Pullman, Washington 99164-2814 (United States)
The short time revivals of initially localized wave packets are well known in simple, closed, 1-degree-of-freedom (1D) systems. In 2D or higher, if the system is integrable or has exclusively periodic dynamics, a generalization is possible. If the dynamics are chaotic, revivals have not been previously seen and are, {ital apriori}, not expected. Nevertheless, we have found that some stretched wave packets in a chaotic system experience, very early, surprisingly large recurrences. We extend a semiclassical theory founded on summing over heteroclinic orbits to determine a set of necessary conditions. The most important one is an Einstein-Brillouin-Keller-like quantization of classical flux crossing the turnstile formed by the stable and unstable manifolds of the initial wave packet{close_quote}s underlying central orbit. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 545007
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 19 Vol. 79; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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