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Ehrenfest times for classically chaotic systems | P.G.Silvestrov
; C.W.J.Beenakker
; | Date: |
19 Nov 2001 | Journal: | Phys.Rev.E 65, 035208(R) (2002) DOI: 10.1103/PhysRevE.65.035208 | Subject: | Chaotic Dynamics; Mesoscopic Systems and Quantum Hall Effect | nlin.CD cond-mat.mes-hall quant-ph | Abstract: | We describe the quantum mechanical spreading of a Gaussian wave packet by means of the semiclassical WKB approximation of Berry and Balazs. We find that the time scale $ au$ on which this approximation breaks down in a chaotic system is larger than the Ehrenfest times considered previously. In one dimension $ au=fr{7}{6}lambda^{-1}ln(A/hbar)$, with $lambda$ the Lyapunov exponent and $A$ a typical classical action. | Source: | arXiv, nlin.CD/0111042 | Services: | Forum | Review | PDF | Favorites |
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