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Open Quantum Systems Decoherence

Regular-to-chaotic tunneling rates using a fictitious integrable system

arXiv
Authors: A. Bäcker, R. Ketzmerick, S. Löck, L. Schilling

Year

2007

Paper ID

49786

Status

Preprint

Abstract Read

~2 min

Abstract Words

69

Citations

N/A

Abstract

We derive a formula predicting dynamical tunneling rates from regular states to the chaotic sea in systems with a mixed phase space. Our approach is based on the introduction of a fictitious integrable system that resembles the regular dynamics within the island. For the standard map and other kicked systems we find agreement with numerical results for all regular states in a regime where resonance-assisted tunneling is not relevant.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2007 reference point for readers tracking recent quantum research.
  • We derive a formula predicting dynamical tunneling rates from regular states to the chaotic sea in systems with a mixed phase space.

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