(You should click this button, you dont need to see the code).

Fidelity versus Fine Structure splitting.



In [1]:

    
%pylab inline
import sys
sys.path.append('../')
from mpl_toolkits.axes_grid1 import Grid
from Icarus.Classes.QuantumDot import QuantumDot
from constants import Constants
from Experiments.utils.plot_fidelity_curves import *









    



Welcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].
For more information, type 'help(pylab)'.



In [2]:

    
constants = Constants()
qd = QuantumDot(constants.xtau, constants.xxtau, constants.ptau, constants.FSS, constants.crosstau)

No decoherence.



In [3]:

    
qd.crosstau = 0.
qd.bg_emission_rate = 0.
fss = np.linspace(-10, 10, 500)*1e-6
fidelities = [qd.ideal_fidelity_lorentzian(f)[0] for f in fss]
ghv = qd.ideal_fidelity_lorentzian(f)[1]

numerical_data_no_dec = np.loadtxt('../out/fidelity_vs_fss/xtau1/fss_v_fidelity.txt', delimiter = ',')

plt.figure(figsize = (16./1.5,9./1.5))
plt.plot(numerical_data_no_dec[:,0], numerical_data_no_dec[:,1], 'r-', fss/1e-6, fidelities, 'b--')
plt.legend(['Monte carlo', 'Theoretical']) 
plt.text(6, 0.9, ' coherence ' + np.array(ghv).astype('|S4').tostring())
plt.xlim([-10, 10]) ; plt.ylim([0.45, 1.05])
plt.xticks(np.linspace(-10, 10, 11))
plt.xlabel('Fine structure splitting $eV$') ; plt.ylabel('Fidelity')









    Out[3]:





<matplotlib.text.Text at 0x106018550>

Decoherence time of 2.5 ns, coherence of 71%.



In [4]:

    
qd.crosstau = 2.5
fss = np.linspace(-10, 10, 500)*1e-6
fidelities = [qd.ideal_fidelity_lorentzian(f)[0] for f in fss]
ghv = qd.ideal_fidelity_lorentzian(f)[1]

numerical_data_with_dec = np.loadtxt('../out/fidelity_vs_fss/cross_dephasing2.5ns/fss_v_fidelity.txt', delimiter = ',')

plt.figure(figsize = (16./1.5,9./1.5))
plt.plot(numerical_data_with_dec[:,0], numerical_data_with_dec[:,1], 'r-', fss/1e-6, fidelities, 'b--')
plt.legend(['Monte carlo', 'Theoretical']) 
plt.text(6, 0.9, ' coherence ' + np.array(ghv).astype('|S4').tostring())
plt.xlim([-10, 10]) ; plt.ylim([0.45, 1.05])
plt.xticks(np.linspace(-10, 10, 11))
plt.xlabel('Fine structure splitting $eV$') ; plt.ylabel('Fidelity')









    Out[4]:





<matplotlib.text.Text at 0x10643d6d0>

Decoherence time of 2.5 ns, background emission of 0.05.



In [6]:

    
qd.crosstau = 2.5
qd.bg_emission_rate = 0.05
fss = np.linspace(-10, 10, 500)*1e-6
fidelities = [qd.ideal_fidelity_lorentzian(f)[0] for f in fss]
ghv = qd.ideal_fidelity_lorentzian(f)[1]

numerical_data_dec_and_bg = np.loadtxt('../out/2013-08-07/fid_v_fss/fid_v_fss.txt', delimiter = ',')

plt.figure(figsize = (16./1.5,9./1.5))
plt.plot(numerical_data_dec_and_bg[:,0]/1e-6, numerical_data_dec_and_bg[:,1], 'r-', fss/1e-6, fidelities, 'b--')
plt.legend(['Monte carlo', 'Theoretical']) 
plt.text(6, 0.9, ' coherence ' + np.array(ghv).astype('|S4').tostring())
plt.xlim([-10, 10]) ; plt.ylim([0.45, 1.05])
plt.xticks(np.linspace(-10, 10, 11))
plt.xlabel('Fine structure splitting $eV$') ; plt.ylabel('Fidelity')









    Out[6]:





<matplotlib.text.Text at 0x106383c10>



In [ ]: