High--order connected moments expansion for the Rabi Hamiltonian

Details High--order connected moments expansion for the Rabi Hamiltonian High--order connected moments expansion for the Rabi Hamiltonian

2010-10-27

arxiv.org/abs/1010.5773v1

Physics

Quantum Physics

12 pages, 5 figures, 1 table

Scientific paper

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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