Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
QuantumMob`Q3mini`
NambuGreen  |  |
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Details and Options
Examples
(1)
Basic Examples
(1)
Set the number of fermion modes.
In[1]:=
$n=5;
Choose a BdG state.
In[2]:=
SeedRandom[354];
In[3]:=
ws=RandomWickState[$n]
Out[3]=
WickState
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Calculate the Green's functions of fermion modes with respect to the above state.
In[4]:=
grn=WickGreenFunction[ws]grn//ArrayShort
Out[4]=
NambuGreen
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Out[4]=
,
0.524647 | 0.0189551-0.0755568 | 0.0051272+0.0310692 | -0.0541591-0.0404266 | … |
0.0189551+0.0755568 | 0.336991 | -0.0556442+0.0508598 | 0.0122292+0.0177733 | … |
0.0051272-0.0310692 | -0.0556442-0.0508598 | 0.253693 | 0.0701694-0.0199141 | … |
-0.0541591+0.0404266 | 0.0122292-0.0177733 | 0.0701694+0.0199141 | 0.451871 | … |
… | … | … | … | … |
0 | 0.0621409-0.109436 | 0.0850157-0.232403 | -0.134115-0.217267 | … |
-0.0621409+0.109436 | 0 | -0.19683-0.123276 | 0.246385-0.223338 | … |
-0.0850157+0.232403 | 0.19683+0.123276 | 0 | -0.156682+0.122313 | … |
0.134115+0.217267 | -0.246385+0.223338 | 0.156682-0.122313 | 0 | … |
… | … | … | … | … |
Convert the object into a full matrix form.
In[5]:=
full=Normal[grn];ArrayShort[full,"Size"6]
Out[5]//MatrixForm=
0.524647 | 0.0189551-0.0755568 | 0.0051272+0.0310692 | -0.0541591-0.0404266 | -0.0385759-0.00452221 | 0 | … |
0.0189551+0.0755568 | 0.336991 | -0.0556442+0.0508598 | 0.0122292+0.0177733 | -0.0999745-0.0848135 | -0.0621409+0.109436 | … |
0.0051272-0.0310692 | -0.0556442-0.0508598 | 0.253693 | 0.0701694-0.0199141 | -0.12919-0.061993 | -0.0850157+0.232403 | … |
-0.0541591+0.0404266 | 0.0122292-0.0177733 | 0.0701694+0.0199141 | 0.451871 | -0.0918851+0.111401 | 0.134115+0.217267 | … |
-0.0385759+0.00452221 | -0.0999745+0.0848135 | -0.12919+0.061993 | -0.0918851-0.111401 | 0.219001 | -0.0111828-0.306371 | … |
0 | -0.0621409-0.109436 | -0.0850157-0.232403 | 0.134115-0.217267 | -0.0111828+0.306371 | 0.475353 | … |
… | … | … | … | … | … | … |
In[6]:=
Eigenvalues[full]//ArrayShort
Out[6]=
{1,1,1,1,…}
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