In [1]:

    

%pylab inline


    

    




Populating the interactive namespace from numpy and matplotlib

In [2]:

    

h = 6.62606957e-34 # Planck Contant
hbar = h/(2*pi) # Planck Constant over 2 Pi
heV = 4.136E-15 # h in eV
qe = 1.60217657e-19 # Electric Charge
hbar = h/2/pi
DelAl = 0.180e-3 * qe # V
kB = 1.3806488e-23 # Boltzmann Constant
e0 = 8.854e-12 # Permittivity vacuum, F/m


    

In [3]:

    

# 1 : ground 
# 2 : botton Cap
# 3 : Top Cap
# 4 : Gate

C12 = 113*1e-15
C13 = 84*1e-15
C14 =58*1e-15
C23 =50.134*1e-15
C24 = 0.607*1e-15
C34 =9.826*1e-15

Cj = 2 * 1e-15 # Junctions

Cg = (C34+C13)*(C24+C12)/(C34+C13+C12+C24) # Gate capacitance

Ct = Cg + C23 + Cj # Total Capacitance

print("Ct = ", Ct/1e-15, 'fF')
Ec = qe**2/(2*Ct)/h
print('Ec =',Ec/1e9,'GHz')





R = 20e3 # Ohms
T = 20e-3 # K
Ej =2 * DelAl*tanh(DelAl/(2*kB*T))/(8*qe**2*R)
#Ej = 2*DelAl/(8*qe*R)
print('Ej =', Ej/1e9,'GHz')

E01 = sqrt(8*Ec*Ej)
print('w01 = ', E01/1e9, 'GHz')


beta = Cg/Ct
Vrms = sqrt(hbar*2*pi*5e9/2/beta)

mat = 1/2*(Ej/8/Ec)**(1/4)/sqrt(2)

g = 2*beta*qe*Vrms*mat/h

print('g =', g,'MHz')


    

    




Ct =  103.5206664513361 fF
Ec = 0.1871146133104413 GHz
Ej = 14.0433959785 GHz
w01 =  4.58495331107 GHz
g = 271.34241887 MHz

In [4]:

    

Vrms,mat


    

    
Out[4]:





(1.8267802478099438e-12, 0.61876197725847726)

In [5]:

    

# Cavity kappa
Q = 20e3
freqCav = 5e9
kappa = freqCav/Q
print('Kappa =', kappa/1e9, ' GHz')


    

    




Kappa = 0.00025  GHz

In [6]:

    

# qubit 
Qqubit = 4.3e9/1e6
freqQubit = 4.3e9
gamma = freqQubit/Qqubit
print('Gamma =', gamma/1e9, ' GHz')


    

    




Gamma = 0.001  GHz

In [7]:

    

ls


    

    




Experimental data.ipynb
Program Recover IQ from pulsed data.ipynb
Simulation cavity qubit filter.ipynb
data/

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/Users/rouxinol/Python/Manuscripts/CPW-Filter-qubit/data

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(81.527691315008369, 2542.761020876143)

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3.14158*432


    

    
Out[14]:





1357.16256

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Out[15]:





58.395059722548446

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