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Computing observables without eigenstates: Applications to Bloch Hamiltonians

Computing observables without eigenstates: Applications to Bloch Hamiltonians

Calculating the observables of a Hamiltonian requires taking matrix elements of operators in the eigenstate basis. Since eigenstates are only defined up to arbitrary phases that depend on Hamiltonian parameters, analytical expressions for observables are often difficult to simplify. In this work, we show how for small Hilbert space dimension …