Table 1.

The constraint from $\mathcal{P}$-symmetry, $\mathcal{T}$-symmetry, and $\mathcal{P}\mathcal{T}$-symmetry for the DC shot noise (DSN) excited by linearly or circularly polarized light

	σL	σC	ηL	ηC
$\mathcal{P}$	✓	✓	✓	✓
$\mathcal{T}$	✗	✓	✓	✗
$\mathcal{P}\mathcal{T}$	✗	✓	✓	✗

Here ✓(✗) means that the DSN susceptibility tensors which contain σ_L/C and η_L/C defined in Eq. (1) are even (odd) under symmetry operation. Here the even (odd) tensor is allowed (forbidden) by the corresponding symmetry. Note that all DSNs feature the $\mathcal{P}$-even characteristic and the DSNs in $\mathcal{T}$-invariant systems feature the same behavior with that in $\mathcal{P}\mathcal{T}$-invariant systems.