Second Quantization: Fock States, Ladder Operators, (Anti)commutators

Second Quantization: Fock States, Ladder Operators, (Anti)commutators.

Figure 1. The occupation-number (Fock) representation: ladder operators raise and lower number states by sqrt(n+1) and sqrt(n), bosons obey [a, a-dagger] = 1 and fermions {a, a-dagger} = 1 (Pauli, so a-dagger|1> = 0), and the bosonic coherent state is a Poissonian eigenstate of a. Method: exact Fock-space linear algebra; deterministic.

statistics

state

coherent alpha2.40

WHAT TO TRY

Vary each control and watch the rail readouts respond.

Compare the diagnostic plot against the live scene.