Discrepancies between decoherence and the Loschmidt echo

Details Discrepancies between decoherence and the Loschmidt echo Discrepancies between decoherence and the Loschmidt echo

2009-08-14

arxiv.org/abs/0908.2134v3

Europhys. Lett. 89 50009 (2010)

Physics

Quantum Physics

6 pages, 3 figures. Changed title. Added 1 figure. Published version.

Scientific paper

10.1209/0295-5075/89/50009

The Loschmidt echo and the purity are two quantities that can provide invaluable information about the evolution of a quantum system. While the Loschmidt echo characterizes instability and sensitivity to perturbations, purity measures the loss of coherence produced by an environment coupled to the system. For classically chaotic systems both quantities display a number of -- supposedly universal -- regimes that can lead on to think of them as equivalent quantities. We study the decay of the Loschmidt echo and the purity for systems with finite dimensional Hilbert space and present numerical evidence of some fundamental differences between them.

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