High-order connected moments expansion for the Rabi Hamiltonian

Paolo Amore 1 , Francisco Fernandez 2 , and Martin Rodriguez 1
  • 1 Facultad de Ciencias, CUICBAS, Universidad de Colima, Bernal Díaz del Castillo 340, Colima, Colima, México
  • 2 INIFTA (UNLP, CCT La Plata-CONICET), División Química Teórica, Blvd. 113 y 64 (S/N), Sucursal 4, Casilla de Correo 16, 1900, La Plata, Argentina

Abstract

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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