Jump to content

File:Wignerfunction fock 4.png

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file (2,000 × 1,250 pixels, file size: 885 KB, MIME type: image/png)

Summary

Description
English: Wigner function of a Fock state with photon number n=4.
Date
Source Own work
 
This diagram was created with Mathematica by n.
Author Geek3

Source code

fock[n_, q_, p_] := (-1)^n /
   Pi Exp[-q ^2 - p^2] LaguerreL[n, 2 q^2 + 2 p^2];
rq = 4; rp = 4; t = 0.003; FontS = 20;
For[n = 0, n <= 4, n++, plot = Show[Plot3D[fock[n, q, p],
    {q, -rq, rq}, {p, -rp, rp}, ImageSize -> 800,
    Mesh -> {Range[-Floor[rq], Floor[rq] ], 
      Range[-Floor[rp], Floor[rp] ], Range[-1, 1, 1/4]/Pi},
    MeshFunctions -> {#1 &, #2 &, #3 &},
    MeshStyle -> {Directive[Black, Thickness[t] ], 
      Directive[Black, Thickness[t] ], 
      Directive[White, Thickness[t] ]},
    PlotRange -> {-1/Pi, 1/Pi}, PlotPoints -> 81, MaxRecursion -> 4, 
    Method -> {Refinement -> {ControlValue -> 0.02} },
    PerformanceGoal -> "Quality",
    PlotStyle -> Opacity[0.85], Lighting -> "Classic",
    ColorFunction -> ({RGBColor[1, 1, 0.75], Glow[GrayLevel[0.06] ], 
        Specularity[0.5, 60]} &),
    Axes -> False, Boxed -> False,
    ViewPoint -> 
     FromSphericalCoordinates[{Sqrt[229/20], Pi/3, -0.64 Pi}] ],
   Graphics3D[{Thickness -> t, Black, 
     Line[{ {-rq, rp, 0}, {-rq, -rp, 0}, {rq, -rp, 0} }]}],
   Graphics3D[{Thickness -> t, Black, 
     Line[{ {-rq, rp, -1/Pi}, {-rq, rp, 1/Pi} }]}],
   (* q ticks *)
   Sequence @@ 
    Table[Graphics3D[{Thickness -> t, Black, 
       Line[{ {x, -rp, 0}, {x, -0.2 - rp, 0} }]}], {x, -Floor[rq], 
      Floor[rq]}],
   (* p ticks *)
   Sequence @@ 
    Table[Graphics3D[{Thickness -> t, Black, 
       Line[{ {-rq, y, 0}, {-rq - 0.2, y, 0} }]}], {y, -Floor[rp], 
      Floor[rp - 1/2]}],
   (*W ticks *)
   Sequence @@ 
    Table[Graphics3D[{Thickness -> t, Black, 
       Line[{ {-rq, rp, z/(2 Pi)}, {-rq - 0.2, rp, 
          z/(2 Pi)} }]}], {z, -2, 2}],
   (* box *)
   (*Graphics3D[{Thickness\[Rule]t/2,Gray,Line[{ {rq,-rp,1/Pi},{rq,rp,
   1/Pi},{-rq,rp,1/Pi} }],Line[{ {rq,rp,0},{rq,rp,1/Pi} }],
   Line[{ {rq,-rp,0},{rq,-rp,1/Pi} }]}],*)
   (* axes labels *)
   Graphics3D[Text[Style["q", FontS, Black], {0, -rp*1.15, -0.07}] ],
   Graphics3D[Text[Style["p", FontS, Black], {-rq*1.15, 0, -0.07}] ],
   Graphics3D[
    Text[Style["W", FontS, Black], {-rq*0.93, rp*0.93, 0.8/Pi}] ],
   Sequence @@ 
    Table[Graphics3D[{Text[
        Style[TextString[x], FontS, 
         Black], {x, -rp - 0.10 Max[rq, rp], 0}, {0, 
         1}]}], {x, -Floor[rq], Floor[rq]}],
   Sequence @@ 
    Table[Graphics3D[{Text[
        Style[TextString[y], FontS, Black], {-rq - 0.10 Max[rq, rp], 
         y, 0}, {0, 1}]}], {y, -Floor[rp], Floor[rp - 1/2]}],
   Sequence @@ 
    Table[Graphics3D[{Text[
        Style[If[z == 0, "0", ToString[z/(2 Pi), TraditionalForm] ], 
         FontS, Black], {-rq - 0.3, rp, z/2/Pi}, {1, 0}]}], {z, -2, 
      2}],
   BoxRatios -> {Automatic, Automatic, 6}, PlotRange -> All
   ];
 trim = { {0., .25}, {.95, .91} };
 imgname = "Wignerfunction_fock_" <> TextString[n] <> ".png";
 Export[imgname, 
  ImageResize[
   ImageTrim[Image[plot, ImageResolution -> 400], trim, 
    DataRange -> { {0, 1}, {0, 1} }], 2000, Resampling -> "Linear"] ];
 ]

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

Quality image

This image has been assessed using the Quality image guidelines and is considered a Quality image.

العربية ∙ جازايرية ∙ беларуская ∙ беларуская (тарашкевіца) ∙ български ∙ বাংলা ∙ català ∙ čeština ∙ Cymraeg ∙ Deutsch ∙ Schweizer Hochdeutsch ∙ Zazaki ∙ Ελληνικά ∙ English ∙ Esperanto ∙ español ∙ eesti ∙ euskara ∙ فارسی ∙ suomi ∙ français ∙ galego ∙ עברית ∙ हिन्दी ∙ hrvatski ∙ magyar ∙ հայերեն ∙ Bahasa Indonesia ∙ italiano ∙ 日本語 ∙ Jawa ∙ ქართული ∙ 한국어 ∙ kurdî ∙ Lëtzebuergesch ∙ lietuvių ∙ македонски ∙ മലയാളം ∙ मराठी ∙ Bahasa Melayu ∙ Nederlands ∙ Norfuk / Pitkern ∙ polski ∙ português ∙ português do Brasil ∙ rumantsch ∙ română ∙ русский ∙ sicilianu ∙ slovenčina ∙ slovenščina ∙ shqip ∙ српски / srpski ∙ svenska ∙ தமிழ் ∙ తెలుగు ∙ ไทย ∙ Tagalog ∙ toki pona ∙ Türkçe ∙ українська ∙ vèneto ∙ Tiếng Việt ∙ 中文 ∙ 中文（简体） ∙ 中文（繁體） ∙ +/−

Captions

Add a one-line explanation of what this file represents

inception

20 May 2019

media type

image/png

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current16:45, 20 May 2019Thumbnail for version as of 16:45, 20 May 20192,000 × 1,250 (885 KB)Geek3User created page with UploadWizard

The following page uses this file:

Global file usage

The following other wikis use this file:

Metadata

This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.

If the file has been modified from its original state, some details may not fully reflect the modified file.

Retrieved from "https://en.wikipedia.org/wiki/File:Wignerfunction_fock_4.png"