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I wonder if I could plot the Fig1.(a) in Physical Review A 87, 063421 (2013), a triangular lattice in MMA. I undetstand that those atoms and interactions can be added by Adobe AI after obtaining the eps by MMA.

Actually I've tried by defining a piecewise function and Plot3D, but it seems to be wierd and the figure is uncontinuous at the boundaries.

Thanks a lot. enter image description here

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  • $\begingroup$ What have you tried? Please share the code. What is the formula for the potential? Not providing necessary information won't help you here. $\endgroup$
    – Henrik Schumacher
    Aug 15, 2018 at 7:36
  • $\begingroup$ arxiv.org/pdf/1305.6687.pdf $\endgroup$
    – Alex Trounev
    Aug 15, 2018 at 8:18
  • $\begingroup$ The point is that I gave the reference clearly enough, and I would be able to plot if I know the potential. Thanks anyway. $\endgroup$
    – 2ez4rtz
    Aug 15, 2018 at 10:12
  • $\begingroup$ In this article there is nothing about the potential. They write under the FIG.1: "Schematic diagram of the smallest triangular cell of three atoms (a, b and c) trapped in a two-dimensional triangular lattice". $\endgroup$
    – Alex Trounev
    Aug 15, 2018 at 11:57

1 Answer 1

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Show[
 Plot3D[
  Evaluate@Sum[
    -Exp[-(((x - xo + yo/2)^2 + (y - yo Sqrt[3]/2)^2)/(2/25))]
    , {yo, -1, 6}
    , {xo, Round[yo/2] - 1, 4 + Round[yo/2]}
    ]
  , {x, -0.2, 3.2}
  , {y, -0.5, 2.5}
  , Mesh -> None
  , PlotPoints -> 100
  , PlotRange -> {-1, 1}
  , BoxRatios -> {3.4, 3, 2}
  ],
 Graphics3D[
  {
   Blue, Sphere[{1, Sqrt[3]/2 2, -1/2}, .2],
   Purple, Sphere[{3/2, Sqrt[3]/2, -1/2}, .2],
   Green, Sphere[{1/2, Sqrt[3]/2, -1/2}, .2]

   }]
 ]

Mathematica graphics

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  • $\begingroup$ I tried the Cos type, and now I now it's an exponential trap. Thanks for the nice answer. $\endgroup$
    – 2ez4rtz
    Aug 15, 2018 at 10:14

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