Physics, Condensed Matter Physics, Quantum Computing.
b^{†}_{i} creates a boson at site i and b destroys a boson at site i. To gain some crude intuition, you can see how the following could be creation and annihilation operators if you define |1〉as the state with a fermion/boson. The annihilation operator would “destroy” a fermion (a|1⟩ = |0⟩) if the