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Dynamical Fractal in Quantum Gases with Discrete Scaling Symmetry.

08:00 EDT 14th June 2019 | BioPortfolio

Summary of "Dynamical Fractal in Quantum Gases with Discrete Scaling Symmetry."

Inspired by the similarity between the fractal Weierstrass function and quantum systems with discrete scaling symmetry, we establish general conditions under which the dynamics of a quantum system will exhibit fractal structure in the time domain. As an example, we discuss the dynamics of the Loschmidt amplitude and the zero-momentum occupation of a single particle moving in a scale invariant 1/r^{2} potential. In order to show these conditions can be realized in ultracold atomic gases, we perform numerical simulations with practical experimental parameters, which shows that the dynamical fractal can be observed in realistic timescales. The predication can be directly verified in current cold atom experiments.

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This article was published in the following journal.

Name: Physical review letters
ISSN: 1079-7114
Pages: 230402

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