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arxiv: 1010.5773 · v1 · pith:TKDEWWQAnew · submitted 2010-10-27 · 🪐 quant-ph

High--order connected moments expansion for the Rabi Hamiltonian

classification 🪐 quant-ph
keywords momentsconnectedexpansionhamiltonianrabianalyzebecausecalculate
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We analyze the convergence properties of the connected moments expansion (CMX) for the Rabi Hamiltonian. To this end we calculate the moments and connected moments of the Hamiltonian operator to a sufficiently large order. Our large--order results suggest that the CMX is not reliable for most practical purposes because the expansion exhibits considerable oscillations.

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