2020
DOI: 10.48550/arxiv.2007.09151
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Computing observables without eigenstates: applications to Bloch Hamiltonians

Oscar Pozo,
Fernando de Juan

Abstract: 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 N all observables can be expressed in terms of the Hamiltonian and its eigenvalues using the properties of the SU(N ) algebra, and we derive explicit expressions for N = 2… Show more

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