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Realizing the classical XY Hamiltonian in polariton simulators

Overview of attention for article published in Nature Materials, September 2017
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About this Attention Score

  • In the top 5% of all research outputs scored by Altmetric
  • Among the highest-scoring outputs from this source (#45 of 2,900)
  • High Attention Score compared to outputs of the same age (98th percentile)
  • High Attention Score compared to outputs of the same age and source (95th percentile)

Mentioned by

news
22 news outlets
blogs
3 blogs
twitter
7 tweeters
facebook
5 Facebook pages

Citations

dimensions_citation
43 Dimensions

Readers on

mendeley
77 Mendeley
Title
Realizing the classical XY Hamiltonian in polariton simulators
Published in
Nature Materials, September 2017
DOI 10.1038/nmat4971
Pubmed ID
Authors

Natalia G. Berloff, Matteo Silva, Kirill Kalinin, Alexis Askitopoulos, Julian D. Töpfer, Pasquale Cilibrizzi, Wolfgang Langbein, Pavlos G. Lagoudakis

Abstract

The vast majority of real-life optimization problems with a large number of degrees of freedom are intractable by classical computers, since their complexity grows exponentially fast with the number of variables. Many of these problems can be mapped into classical spin models, such as the Ising, the XY or the Heisenberg models, so that optimization problems are reduced to finding the global minimum of spin models. Here, we propose and investigate the potential of polariton graphs as an efficient analogue simulator for finding the global minimum of the XY model. By imprinting polariton condensate lattices of bespoke geometries we show that we can engineer various coupling strengths between the lattice sites and read out the result of the global minimization through the relative phases. Besides solving optimization problems, polariton graphs can simulate a large variety of systems undergoing the U(1) symmetry-breaking transition. We realize various magnetic phases, such as ferromagnetic, anti-ferromagnetic, and frustrated spin configurations on a linear chain, the unit cells of square and triangular lattices, a disordered graph, and demonstrate the potential for size scalability on an extended square lattice of 45 coherently coupled polariton condensates. Our results provide a route to study unconventional superfluids, spin liquids, Berezinskii-Kosterlitz-Thouless phase transition, and classical magnetism, among the many systems that are described by the XY Hamiltonian.

Twitter Demographics

The data shown below were collected from the profiles of 7 tweeters who shared this research output. Click here to find out more about how the information was compiled.

Mendeley readers

The data shown below were compiled from readership statistics for 77 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Japan 1 1%
United States 1 1%
Unknown 75 97%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 24 31%
Researcher 16 21%
Student > Master 11 14%
Student > Doctoral Student 6 8%
Student > Bachelor 5 6%
Other 15 19%
Readers by discipline Count As %
Physics and Astronomy 53 69%
Unspecified 7 9%
Materials Science 6 8%
Engineering 5 6%
Chemistry 4 5%
Other 2 3%

Attention Score in Context

This research output has an Altmetric Attention Score of 185. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 05 December 2018.
All research outputs
#71,070
of 13,317,108 outputs
Outputs from Nature Materials
#45
of 2,900 outputs
Outputs of similar age
#3,009
of 263,787 outputs
Outputs of similar age from Nature Materials
#3
of 65 outputs
Altmetric has tracked 13,317,108 research outputs across all sources so far. Compared to these this one has done particularly well and is in the 99th percentile: it's in the top 5% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 2,900 research outputs from this source. They typically receive a lot more attention than average, with a mean Attention Score of 26.7. This one has done particularly well, scoring higher than 98% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 263,787 tracked outputs that were published within six weeks on either side of this one in any source. This one has done particularly well, scoring higher than 98% of its contemporaries.
We're also able to compare this research output to 65 others from the same source and published within six weeks on either side of this one. This one has done particularly well, scoring higher than 95% of its contemporaries.