ColdTOFU.Physics package¶
Submodules¶
ColdTOFU.Physics.allenDeviation module¶
ColdTOFU.Physics.basisMatrices module¶
ColdTOFU.Physics.beams module¶
ColdTOFU.Physics.createAndDestroy module¶
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ColdTOFU.Physics.createAndDestroy.a(N=5)[source]¶ Matrix representation of bosonic destruction operator.
- Parameters
n – destroy boson at n in an N state Fock space
N – dimensions of the Fock space, default 5
- Returns
a sparse matrix representation of a of shape (N, N) in Fock basis, {\(|n_1, n_2, n_3, ..., N\rangle\)}.
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ColdTOFU.Physics.createAndDestroy.a_dag(N=5)[source]¶ Matrix representation of bosonic creation operator.
- Parameters
n – create a boson at n in an N state Fock space
N – dimensions of the Fock space, default 5
- Returns
a sparse matrix representation of a of shape (N, N) in Fock basis, {\(|n_1, n_2, n_3, ..., N\rangle\)}.
ColdTOFU.Physics.spinInDickeBasis module¶
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ColdTOFU.Physics.spinInDickeBasis.S_m(s)[source]¶ Matrix representation of ladder lowering operator for spin, in general, angular momentum.
- Parameters
s – spin quantum number.
- Returns
a sparse matrix representation of \(S^-\) of shape (2s+1, 2s+1) in Dicke basis, {\(|s, m_s\rangle\)}.
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ColdTOFU.Physics.spinInDickeBasis.S_p(s)[source]¶ Matrix representation of ladder raising operator for spin, in general, angular momentum.
- Parameters
s – spin quantum number.
- Returns
a sparse matrix representation of \(S^+\) of shape (2s+1, 2s+1) in Dicke basis, {\(|s, m_s\rangle\)}.
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ColdTOFU.Physics.spinInDickeBasis.S_x(s)[source]¶ Matrix representation of x component of the operator for spin, in general, angular momentum.
- Parameters
s – spin quantum number.
- Returns
a sparse matrix representation of \(S_x\) of shape (2s+1, 2s+1) in Dicke basis, {\(|s, m_s\rangle\)}.
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ColdTOFU.Physics.spinInDickeBasis.S_y(s)[source]¶ Matrix representation of y component of the operator for spin, in general, angular momentum.
- Parameters
s – spin quantum number.
- Returns
a sparse matrix representation of \(S_y\) of shape (2s+1, 2s+1) in Dicke basis, {\(|s, m_s\rangle\)}.
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ColdTOFU.Physics.spinInDickeBasis.S_z(s)[source]¶ Matrix representation of z component of the operator for spin, in general, angular momentum.
- Parameters
s – spin quantum number.
- Returns
a sparse matrix representation of \(S_z\) of shape (2s+1, 2s+1) in Dicke basis, {\(|s, m_s\rangle\)}.
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ColdTOFU.Physics.spinInDickeBasis.Spin(s)[source]¶ Matrix representation of quantum mechanical spin, in general, angular momentum, s.
- Parameters
s – int or half int, the spin quantum number.
- Returns
a tuple of sparse matrices corresponding to \(S_x, S_y, S_z\)
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ColdTOFU.Physics.spinInDickeBasis.SpinAngularMomenta(I, L, S)[source]¶ Returns angular momenta operators of a state given I, L, S in the tensor product basis.
- Parameters
I – nuclear spin quantum number of the atomic state
L – orbital angular momentum quantum number
S – spin quantum number of the state
- Returns
a tuple of angular momenta, \(((I_x, I_y, I_z), (L_x, L_y, L_z), (S_x, S_y, S_z))\) (each a tuple of components of \(\textbf{I}\otimes\textbf{L}\otimes\textbf{S}\) as sparse matrices) in tensor product space.