Time fractals and discrete scale invariance with trapped ions

Lee, Dean; Watkins, Jacob; Frame, Dillon; Given, Gabriel; He, Rongzheng; Li, Ning; Lu, Bing-Nan; Sarkar, Avik

doi:10.1103/physreva.100.011403

Title: Time fractals and discrete scale invariance with trapped ions

Journal Article · Wed Jul 24 00:00:00 EDT 2019 · Physical Review A

DOI:https://doi.org/10.1103/physreva.100.011403· OSTI ID:1613009

Lee, Dean ^[1]; Watkins, Jacob ^[1]; Frame, Dillon ^[1]; Given, Gabriel ^[1]; He, Rongzheng ^[1]; Li, Ning ^[1]; Lu, Bing-Nan ^[1]; Sarkar, Avik ^[1]

Michigan State Univ., East Lansing, MI (United States)

We show that a one-dimensional chain of trapped ions can be engineered to produce a quantum mechanical system with discrete scale invariance and fractal-like time dependence. By discrete scale invariance we mean a system that replicates itself under a rescaling of distance for some scale factor, and a time fractal is a signal that is invariant under the rescaling of time. These features are reminiscent of the Efimov effect, which has been predicted and observed in bound states of three-body systems. We demonstrate that discrete scale invariance in the trapped ion system can be controlled with two independently tunable parameters. We also discuss the extension to n-body states where the discrete scaling symmetry has an exotic heterogeneous structure. Furthermore, the results we present can be realized using currently available technologies developed for trapped ion quantum systems.

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Research Organization:: Michigan State Univ., East Lansing, MI (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0018638; AC52-06NA25396

OSTI ID:: 1613009

Alternate ID(s):: OSTI ID: 1545448

Journal Information:: Physical Review A, Vol. 100, Issue 1; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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