Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
QuantumMob/Transmon`
TransmonEnergy  |
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Details and Options
Examples
(1)
Basic Examples
(1)
In the charging limit, the quantum phase model is subjected to a large fluctuation of phase. It is analogous to a free particle in a ring.
In[1]:=
α=5.0;PlotEvaluate@Table
[n,α,q],{n,0,3},{q,-2,2},FrameLabel{"","ϵ"}
 | TransmonEnergy |
q
Out[1]=
In[2]:=
α=5.;Table
[n,α,0],{n,0,3}Table
[n,α,1/2],{n,0,3}
 | TransmonEnergy |
| TransmonEnergy |
Out[2]=
{0.192022,2.69867,2.70664,10.2005}
Out[2]=
{0.72304,0.92296,5.82596,5.82604}
In the Josephson limit, the quantum phase model behaves like a harmonic oscillator.
In[3]:=
α=0.2;PlotEvaluate@Table
[n,α,q],{n,0,3},{q,-2,2},FrameLabel{"","ϵ"}
| TransmonEnergy |
q
Out[3]=
In[4]:=
α=0.2;Table
[n,α,0],{n,0,3}Table
[n,α,1/2],{n,0,3}
| TransmonEnergy |
| TransmonEnergy |
Out[4]=
{0.493669,1.468,2.41574,3.33564}
Out[4]=
{0.493669,1.468,2.41574,3.33564}
As the MacCumber parameter α varies, the spectrum gradually changes from the Josephson to charging limit.
In[5]:=
PlotEvaluate@Table
[n,alpha,0],{n,0,6},{alpha,0.01,2.01},FrameLabel{"α","ϵ"}
| TransmonEnergy |
Out[5]=
The degeneracy in the Josephson limit is lifted for finite dimensionless gate charge q.
In[6]:=
PlotEvaluate@Table
[n,alpha,0.1],{n,0,6},{alpha,0.01,2.01},FrameLabel{"α","ϵ"}
| TransmonEnergy |
Out[6]=
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""