Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
QuantumMob/Transmon`
TransmonFunction  |
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Details and Options
Examples
(1)
Basic Examples
(1)
In the Josephson limit (), transmon behaves like a harmonic oscillator. In the following, the wavefunctions have been shifted by amount proportional to its energy.
α≪1
In[1]:=
PlotEvaluate@Table4n+Re@
[n,0.3,0,x*Pi],{n,0,3},{x,-1,1},FrameLabel{"ϕ / π",ψ},PlotLegendsAutomatic
 | TransmonFunction |
Out[1]=
In[2]:=
ReImPlotEvaluate@Table4n(1+I)+
[n,0.3,0.001,x*Pi],{n,0,3},{x,-1,1},FrameLabel{"ϕ / π",ψ}
| TransmonFunction |
Out[2]=
In[3]:=
ReImPlotEvaluate@Table4n(1+I)+
[n,0.3,1/2,x*Pi],{n,0,3},{x,-1,1},FrameLabel{"ϕ / π",ψ}
| TransmonFunction |
Out[3]=
In[4]:=
ReImPlotEvaluate@Table4n(1+I)+
[n,0.3,0.4999999,x*Pi],{n,0,3},{x,-1,1},FrameLabel{"ϕ / π",ψ}
| TransmonFunction |
Out[4]=
In the charging limit, transmon behaves like a free particle in a ring of circumference 2π.
In[5]:=
PlotEvaluate@Table4n+Re@
[n,2.,0,x*Pi],{n,0,3},{x,-1,1},FrameLabel{"ϕ / π",ψ},PlotLegendsAutomatic
| TransmonFunction |
Out[5]=
In[6]:=
ReImPlot
[1,0.3,0.1,x*Pi],{x,-1,1},FrameLabel{"ϕ / π",ψ},PlotRangeAll
 | TransmonFunction |
Out[6]=
In[7]:=
ReImPlot
[1,0.3,0.0001,x*Pi],{x,-1,1},FrameLabel{"ϕ / π",ψ},PlotRangeAll
| TransmonFunction |
Out[7]=
In[8]:=
ReImPlot
[1,0.3,1/2,x*Pi],{x,-1,1},FrameLabel{"ϕ / π",ψ},PlotRangeAll
| TransmonFunction |
Out[8]=
In[9]:=
ReImPlot
[1,0.3,0.49999,x*Pi],{x,-1,1},FrameLabel{"ϕ / π",ψ},PlotRangeAll
| TransmonFunction |
Out[9]=
