PairingSum

Overloads

Name	Description
PairingSum(const ComplexSparseMatrix matrix) -> Operator	The PairingSum operator is parametrized by a sparse matrix $P(i,j)$ of size $L \times L$. Each entry $P(i,j)$ for $i < j$ corresponds to the operator $P(i,j) f_i^\dagger f_j^\dagger$, whilst each entry $P(i,j)$ for $i > j$ corresponds to the operator $P(i,j) f_i f_j$. The PairingSum operator represents the sum $\sum_{i<j}P_{i,j}f_i^{\dagger}f_j^{\dagger} + \sum_{i>j}P_{i,j}f_if_j$
PairingSum(const RealSparseMatrix matrix) -> Operator	The PairingSum operator is parametrized by a sparse matrix $P(i,j)$ of size $L \times L$. Each entry $P(i,j)$ for $i < j$ corresponds to the operator $P(i,j) f_i^\dagger f_j^\dagger$, whilst each entry $P(i,j)$ for $i > j$ corresponds to the operator $P(i,j) f_i f_j$. The PairingSum operator represents the sum $\sum_{i<j}P_{i,j}f_i^{\dagger}f_j^{\dagger} + \sum_{i>j}P_{i,j}f_if_j$
PairingSum(const ComplexMatrix matrix) -> Operator	The PairingSum operator is parametrized by a sparse matrix $P(i,j)$ of size $L \times L$. Each entry $P(i,j)$ for $i < j$ corresponds to the operator $P(i,j) f_i^\dagger f_j^\dagger$, whilst each entry $P(i,j)$ for $i > j$ corresponds to the operator $P(i,j) f_i f_j$. The PairingSum operator represents the sum $\sum_{i<j}P_{i,j}f_i^{\dagger}f_j^{\dagger} + \sum_{i>j}P_{i,j}f_if_j$
PairingSum(const RealMatrix matrix) -> Operator	The PairingSum operator is parametrized by a sparse matrix $P(i,j)$ of size $L \times L$. Each entry $P(i,j)$ for $i < j$ corresponds to the operator $P(i,j) f_i^\dagger f_j^\dagger$, whilst each entry $P(i,j)$ for $i > j$ corresponds to the operator $P(i,j) f_i f_j$. The PairingSum operator represents the sum $\sum_{i<j}P_{i,j}f_i^{\dagger}f_j^{\dagger} + \sum_{i>j}P_{i,j}f_if_j$
PairingSum(const Operator operator) -> Operator	The PairingSum operator is parametrized by a sparse matrix $P(i,j)$ of size $L \times L$. Each entry $P(i,j)$ for $i < j$ corresponds to the operator $P(i,j) f_i^\dagger f_j^\dagger$, whilst each entry $P(i,j)$ for $i > j$ corresponds to the operator $P(i,j) f_i f_j$. The PairingSum operator represents the sum $\sum_{i<j}P_{i,j}f_i^{\dagger}f_j^{\dagger} + \sum_{i>j}P_{i,j}f_if_j$
PairingSum(const Operator operator, as_real options) -> Operator	The PairingSum operator is parametrized by a sparse matrix $P(i,j)$ of size $L \times L$. Each entry $P(i,j)$ for $i < j$ corresponds to the operator $P(i,j) f_i^\dagger f_j^\dagger$, whilst each entry $P(i,j)$ for $i > j$ corresponds to the operator $P(i,j) f_i f_j$. The PairingSum operator represents the sum $\sum_{i<j}P_{i,j}f_i^{\dagger}f_j^{\dagger} + \sum_{i>j}P_{i,j}f_if_j$
PairingSum(const Operator operator, as_complex options) -> Operator	The PairingSum operator is parametrized by a sparse matrix $P(i,j)$ of size $L \times L$. Each entry $P(i,j)$ for $i < j$ corresponds to the operator $P(i,j) f_i^\dagger f_j^\dagger$, whilst each entry $P(i,j)$ for $i > j$ corresponds to the operator $P(i,j) f_i f_j$. The PairingSum operator represents the sum $\sum_{i<j}P_{i,j}f_i^{\dagger}f_j^{\dagger} + \sum_{i>j}P_{i,j}f_if_j$

PairingSum(const ComplexSparseMatrix matrix) -> Operator

The PairingSum operator is parametrized by a sparse matrix $P(i,j)$ of size $L \times L$. Each entry $P(i,j)$ for $i < j$ corresponds to the operator $P(i,j) f_i^\dagger f_j^\dagger$, whilst each entry $P(i,j)$ for $i > j$ corresponds to the operator $P(i,j) f_i f_j$. The PairingSum operator represents the sum $\sum_{i<j}P_{i,j}f_i^{\dagger}f_j^{\dagger} + \sum_{i>j}P_{i,j}f_if_j$

Parameters

• matrix: The B matrix of the corresponding Bogoliubov-de-Gennes matrix of a quadratic fermionic Hamiltonian.

PairingSum(const RealSparseMatrix matrix) -> Operator

The PairingSum operator is parametrized by a sparse matrix $P(i,j)$ of size $L \times L$. Each entry $P(i,j)$ for $i < j$ corresponds to the operator $P(i,j) f_i^\dagger f_j^\dagger$, whilst each entry $P(i,j)$ for $i > j$ corresponds to the operator $P(i,j) f_i f_j$. The PairingSum operator represents the sum $\sum_{i<j}P_{i,j}f_i^{\dagger}f_j^{\dagger} + \sum_{i>j}P_{i,j}f_if_j$

Parameters

• matrix: The B matrix of the corresponding Bogoliubov-de-Gennes matrix of a quadratic fermionic Hamiltonian.

PairingSum(const ComplexMatrix matrix) -> Operator

The PairingSum operator is parametrized by a sparse matrix $P(i,j)$ of size $L \times L$. Each entry $P(i,j)$ for $i < j$ corresponds to the operator $P(i,j) f_i^\dagger f_j^\dagger$, whilst each entry $P(i,j)$ for $i > j$ corresponds to the operator $P(i,j) f_i f_j$. The PairingSum operator represents the sum $\sum_{i<j}P_{i,j}f_i^{\dagger}f_j^{\dagger} + \sum_{i>j}P_{i,j}f_if_j$

Parameters

• matrix: The B matrix of the corresponding Bogoliubov-de-Gennes matrix of a quadratic fermionic Hamiltonian.

PairingSum(const RealMatrix matrix) -> Operator

The PairingSum operator is parametrized by a sparse matrix $P(i,j)$ of size $L \times L$. Each entry $P(i,j)$ for $i < j$ corresponds to the operator $P(i,j) f_i^\dagger f_j^\dagger$, whilst each entry $P(i,j)$ for $i > j$ corresponds to the operator $P(i,j) f_i f_j$. The PairingSum operator represents the sum $\sum_{i<j}P_{i,j}f_i^{\dagger}f_j^{\dagger} + \sum_{i>j}P_{i,j}f_if_j$

Parameters

• matrix: The B matrix of the corresponding Bogoliubov-de-Gennes matrix of a quadratic fermionic Hamiltonian.

PairingSum(const Operator operator) -> Operator

The PairingSum operator is parametrized by a sparse matrix $P(i,j)$ of size $L \times L$. Each entry $P(i,j)$ for $i < j$ corresponds to the operator $P(i,j) f_i^\dagger f_j^\dagger$, whilst each entry $P(i,j)$ for $i > j$ corresponds to the operator $P(i,j) f_i f_j$. The PairingSum operator represents the sum $\sum_{i<j}P_{i,j}f_i^{\dagger}f_j^{\dagger} + \sum_{i>j}P_{i,j}f_if_j$

Parameters

• operator: A sum of fermionic operators corresponding to pairing terms.

PairingSum(const Operator operator, as_real options) -> Operator

The PairingSum operator is parametrized by a sparse matrix $P(i,j)$ of size $L \times L$. Each entry $P(i,j)$ for $i < j$ corresponds to the operator $P(i,j) f_i^\dagger f_j^\dagger$, whilst each entry $P(i,j)$ for $i > j$ corresponds to the operator $P(i,j) f_i f_j$. The PairingSum operator represents the sum $\sum_{i<j}P_{i,j}f_i^{\dagger}f_j^{\dagger} + \sum_{i>j}P_{i,j}f_if_j$

Parameters

• operator: A sum of fermionic operators corresponding to pairing terms.
• options: Options used to specify the type of the stored coefficients. Options currently include as_real and as_complex

PairingSum(const Operator operator, as_complex options) -> Operator

The PairingSum operator is parametrized by a sparse matrix $P(i,j)$ of size $L \times L$. Each entry $P(i,j)$ for $i < j$ corresponds to the operator $P(i,j) f_i^\dagger f_j^\dagger$, whilst each entry $P(i,j)$ for $i > j$ corresponds to the operator $P(i,j) f_i f_j$. The PairingSum operator represents the sum $\sum_{i<j}P_{i,j}f_i^{\dagger}f_j^{\dagger} + \sum_{i>j}P_{i,j}f_if_j$

Parameters

• operator: A sum of fermionic operators corresponding to pairing terms.
• options: Options used to specify the type of the stored coefficients. Options currently include as_real and as_complex