Which of the following describe a coherent state $|\alpha\rangle$ of a quantum harmonic oscillator?
(A)
Eigenstate of the annihilation operator: $a |\alpha\rangle = \alpha |\alpha\rangle$
(B)
Minimizes uncertainty product: $\Delta x \Delta p = \hbar/2$
(C)
Poissonian number distribution
(D)
Eigenstate of the Hamiltonian $H$