Browsing by Author "Martin Ruiz, A."

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    An SU(2) ⊗ SU(2) Jaynes-Cummings model with a maximum energy level
    (2014) Martin Ruiz, A.; Frank, Alejandro; Urrutia, L. F.
    The SU(2) circle times SU(2) extension of the Jaynes-Cummings model provides a quantum mechanical system with a finite Hilbert space together with a maximum energy level in the spectrum. The model, which remains exactly solvable, is based on the replacement of the bosonic (creation and annihilation) operators by spin operators defined to act within a definite SU(2) irreducible representation, in such a way that the photon field has a finite number of excitations. The usual Heisenberg-Weyl (h(1)) algebra can be obtained by contraction of the su(2) Lie algebra. We analyze the behavior of both the atomic and field quantum properties, like collapse and revivals, photon antibunching and squeezing, giving special attention to their dependence upon the maximum number of photon excitations.