PMID: 11909151Mar 23, 2002Paper

Ehrenfest times for classically chaotic systems

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
P G Silvestrov, C W J Beenakker

Abstract

We describe the quantum-mechanical spreading of a Gaussian wave packet by means of the semiclassical WKB approximation of Berry and Balazs [J. Phys. A 2, 625 (1979)]. We find that the time scale tau on which this approximation breaks down in a chaotic system is larger than the Ehrenfest times considered previously. In one dimension tau=7/6 lambda(-1)ln(A/Plancks over 2 pi), with lambda the Lyapunov exponent and A a typical classical action.

References

Nov 15, 1996·Physical Review. B, Condensed Matter·I L Aleiner, A I Larkin
Oct 6, 2000·Physical Review Letters·O AgamA Larkin
Jan 5, 2001·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·M A Alonso, G W Forbes
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Citations

Jun 4, 2008·Physical Review Letters·Raphael N P MaiaFabricio Toscano
Nov 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Stephen ChoiBala Sundaram
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Iomin
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Steven Tomsovic, Eric J Heller
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Y AdamovA D Mirlin
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P G SilvestrovC W J Beenakker
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Iomin, G M Zaslavsky
Feb 3, 2021·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Sudip SinhaSubhasis Sinha
Jun 3, 2021·Entropy·Giovani E Morales-HernándezAndrei B Klimov

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