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Origin of the exponential decay of the Loschmidt echo in integrable systems

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Dubertrand, Rémy ; Goussev, Arseni
License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 23 Apr 2018 12:36


We address the time decay of the Loschmidt echo, measuring the sensitivity of quantum dynamics to small Hamiltonian perturbations, in one-dimensional integrable systems. Using a semiclassical analysis, we show that the Loschmidt echo may exhibit a well-pronounced regime of exponential decay, similar to the one typically observed in quantum systemswhose dynamics is chaotic in the classical ...


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