Wolfram Language Paclet Repository
Community-contributed installable additions to the Wolfram Language
QuantumMob`Transmon`
TransmonHamiltonian  |
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Details and Options
Examples
(1)
Basic Examples
(1)
Consider a transmon in the charging limit and examine the 2nd excited state.
In[1]:=
α=2.;(*MacCumberparameter*)q=0.3;(*dimenionlessgatecharge*)n=2;(*referringtothe2ndexcitedstate*)sol[x_]=
[n,α,q,x];ReImPlot[sol[x*Pi],{x,-2,2},FrameLabel{"ϕ / π","ψ(ϕ)"}]
 | TransmonFunction |
Out[1]=
It satisfies the Schrödinger equation.
In[2]:=
eqn[x_]=
[α,q,x]@sol[x]-
[n,α,q]*sol[x]//Simplify;
 | TransmonHamiltonian |
| TransmonEnergy |
In[3]:=
ReImPlot[Chop@eqn[x*Pi],{x,-2,2},FrameLabel{"ϕ / π","deviation"}]
Out[3]=
Now, consider a transmon in the Josephson limit and examine the 1st excited state.
In[4]:=
α=0.5;(*MacCumberparameter*)q=0.3;(*dimenionlessgatecharge*)n=1;(*referringtothe1stexcitedstate*)sol[x_]=
[n,α,q,x];ReImPlot[sol[x*Pi],{x,-2,2},FrameLabel{"ϕ / π","ψ(ϕ)"}]
| TransmonFunction |
Out[4]=
It satisfies the Schrödinger equation.
In[5]:=
eqn[x_]=
[α,q,x]@sol[x]-
[n,α,q]*sol[x]//Simplify;
| TransmonHamiltonian |
| TransmonEnergy |
In[6]:=
ReImPlot[Chop@eqn[x*Pi],{x,-2,2},FrameLabel{"ϕ / π","deviation"}]
Out[6]=
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""