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Title: Time fractals and discrete scale invariance with trapped ions

Authors:
; ; ; ; ; ; ;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1545448
Grant/Contract Number:  
SC0018638; AC52-06NA25396
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Name: Physical Review A Journal Volume: 100 Journal Issue: 1; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Lee, Dean, Watkins, Jacob, Frame, Dillon, Given, Gabriel, He, Rongzheng, Li, Ning, Lu, Bing-Nan, and Sarkar, Avik. Time fractals and discrete scale invariance with trapped ions. United States: N. p., 2019. Web. doi:10.1103/PhysRevA.100.011403.
Lee, Dean, Watkins, Jacob, Frame, Dillon, Given, Gabriel, He, Rongzheng, Li, Ning, Lu, Bing-Nan, & Sarkar, Avik. Time fractals and discrete scale invariance with trapped ions. United States. doi:10.1103/PhysRevA.100.011403.
Lee, Dean, Watkins, Jacob, Frame, Dillon, Given, Gabriel, He, Rongzheng, Li, Ning, Lu, Bing-Nan, and Sarkar, Avik. Wed . "Time fractals and discrete scale invariance with trapped ions". United States. doi:10.1103/PhysRevA.100.011403.
@article{osti_1545448,
title = {Time fractals and discrete scale invariance with trapped ions},
author = {Lee, Dean and Watkins, Jacob and Frame, Dillon and Given, Gabriel and He, Rongzheng and Li, Ning and Lu, Bing-Nan and Sarkar, Avik},
abstractNote = {},
doi = {10.1103/PhysRevA.100.011403},
journal = {Physical Review A},
number = 1,
volume = 100,
place = {United States},
year = {2019},
month = {7}
}

Journal Article:
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Works referenced in this record:

Effective theory of the triton
journal, August 2000


Ground-State Properties of Unitary Bosons: From Clusters to Matter
journal, November 2017


Four-boson system with short-range interactions
journal, November 2004


Evidence for Efimov quantum states in an ultracold gas of caesium atoms
journal, March 2006


Five- and Six-Body Resonances Tied to an Efimov Trimer
journal, November 2011


Observation of the Efimov state of the helium trimer
journal, April 2015


Weakly bound molecules trapped with discrete scaling symmetries
journal, September 2012


The three-boson system with short-range interactions
journal, February 1999


Efimov Physics Around the Neutron-Rich Ca 60 Isotope
journal, September 2013


Renormalization of the Three-Body System with Short-Range Interactions
journal, January 1999


Observing a scale anomaly and a universal quantum phase transition in graphene
journal, September 2017


The Lyapunov dimension of a nowhere differentiable attracting torus
journal, June 1984

  • Kaplan, James L.; Mallet-Paret, John; Yorke, James A.
  • Ergodic Theory and Dynamical Systems, Vol. 4, Issue 2
  • DOI: 10.1017/S0143385700002431

Weierstrass's Non-Differentiable Function
journal, July 1916

  • Hardy, G. H.
  • Transactions of the American Mathematical Society, Vol. 17, Issue 3
  • DOI: 10.2307/1989005

Liberating Efimov Physics from Three Dimensions
journal, July 2011


Efimov effect in quantum magnets
journal, January 2013

  • Nishida, Yusuke; Kato, Yasuyuki; Batista, Cristian D.
  • Nature Physics, Vol. 9, Issue 2
  • DOI: 10.1038/nphys2523

Effective interaction of three resonantly interacting particles and the force range
journal, May 1993


Universal properties of the four-body system with large scattering length
journal, March 2007


Signatures of universal four-body phenomena and their relation to the Efimov effect
journal, April 2009

  • von Stecher, J.; D’Incao, J. P.; Greene, Chris H.
  • Nature Physics, Vol. 5, Issue 6
  • DOI: 10.1038/nphys1253

Observation of a discrete time crystal
journal, March 2017

  • Zhang, J.; Hess, P. W.; Kyprianidis, A.
  • Nature, Vol. 543, Issue 7644
  • DOI: 10.1038/nature21413

Anomalies in quantum mechanics: The 1/r2 potential
journal, May 2002

  • Coon, Sidney A.; Holstein, Barry R.
  • American Journal of Physics, Vol. 70, Issue 5
  • DOI: 10.1119/1.1456071

Super Efimov Effect of Resonantly Interacting Fermions in Two Dimensions
journal, June 2013


Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator
journal, November 2017