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Quantum Return Probability for Substitution Potentials

Cesar R. de Oliveira·Giancarlo Q. Pellegrino
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Abstract

We propose an effective exponent ruling the algebraic decay of the average quantum return probability for discrete Schrodinger operators. We compute it for some non-periodic substitution potentials with different degrees of randomness, and do not find a complete qualitative agreement with the spectral type of the substitution sequences themselves, i.e., more random the sequence smaller such exponent.

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Cesar R. de Oliveira, Giancarlo Q. Pellegrino. 1999-05-18. Quantum Return Probability for Substitution Potentials. https://doi.org/10.1088/0305-4470%2F32%2F26%2F102

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