PyOR Quantum

Author: Vineeth Thalakottoor

Introduction to Spin Operators (Single Spin)

[1]:

# Define the source path
SourcePath = '/media/HD2/Vineeth/PostDoc_Simulations/Github/PyOR_V1/PyOR_Combined/Source_Doc'

# Add source path
import sys
sys.path.append(SourcePath)

# Import PyOR package
from PyOR_QuantumSystem import QuantumSystem as QunS

[2]:

# Define the spin system
Spin_list = {"A" : "H2"}
QS = QunS(Spin_list,PrintDefault=False)

# initialize the system
QS.Initialize()

[3]:

# "X" spin operator
QS.Ax.matrix

[3]:

$\displaystyle \left[\begin{matrix}0 & 0.70710676908493 & 0\\0.70710676908493 & 0 & 0.70710676908493\\0 & 0.70710676908493 & 0\end{matrix}\right]$

[4]:

# "Y" spin operator
QS.Ay.matrix

[4]:

$\displaystyle \left[\begin{matrix}0 & - 0.70710676908493 i & 0\\0.70710676908493 i & 0 & - 0.70710676908493 i\\0 & 0.70710676908493 i & 0\end{matrix}\right]$

[5]:

# "Z" spin operator
QS.Az.matrix

[5]:

$\displaystyle \left[\begin{matrix}1.0 & 0 & 0\\0 & 0 & 0\\0 & 0 & -1.0\end{matrix}\right]$

[6]:

# "+"" spin operator
QS.Ap.matrix

[6]:

$\displaystyle \left[\begin{matrix}0 & 1.41421353816986 & 0\\0 & 0 & 1.41421353816986\\0 & 0 & 0\end{matrix}\right]$

[7]:

# "-"" spin operator
QS.Am.matrix

[7]:

$\displaystyle \left[\begin{matrix}0 & 0 & 0\\1.41421353816986 & 0 & 0\\0 & 1.41421353816986 & 0\end{matrix}\right]$

[8]:

# Particle Parameter: Nuclies name
QS.A.name

[8]:

'H2'

[9]:

# Particle Parameter: Spin quantum number
QS.A.spin

[9]:

[10]:

# Particle Parameter: gyromagnetic ratio
QS.A.gamma

[10]:

41065000.0

[11]:

# Particle Parameter: Quadrupole vale
QS.A.quadrupole

[11]:

2.86e-29