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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Origin of the 1/f^α-Spectral-Noise in Chaotic and Regular Quantum Systems

arXiv
Authors: Leonardo A. Pachon, Armando Relaño, Borja Peropadre, Alan Aspuru-Guzik

Year

2017

Paper ID

44743

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

Based on the connection between the spectral form factor and the probability to return, the origin of the 1/f^α-noise in fully chaotic and fully integrable systems is traced to the quantum interference between invariant manifolds of the classical dynamics and the dimensionality of those invariant manifolds. This connection and the order-to-chaos transition are analyzed in terms of the statistics of Floquet's quasienergies of a classically chaotic driving non-linear system. An immediate prediction of the connection established here is that in the presence of decoherence, the spectral exponent α takes the same value, α=2, for both, fully chaotic and fully integrable systems.

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  • Based on the connection between the spectral form factor and the probability to return, the origin of the 1/f^α-noise in fully chaotic and fully integrable systems is traced to...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1707.02474 [2] arXiv https://arxiv.org/abs/1707.02474 [3] Publisher https://arxiv.org/abs/1707.02474

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