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Schroedinger-Cat-Likeness in Adiabatic Approximation for Generalized Quantum Rabi Model with Quadratic Interaction

Masao Hirokawa (Hiroshima University)
Torsdag, 27 september, 2018, at 14:15-15:00, in Aud. D4 (1531-219)
I give a mathematical procedure to obtain the adiabatic approximation  for the generalized quantum Rabi Hamiltonian both without and with  a quadratic interaction.  We consider the Hamiltonian as the energy of a model describing the  interaction system of a two-level artificial atom and a one-mode  microwave photon in circuit QED.

In the case without the quadratic interaction, I show in the adiabatic  approximation that whether each bare eigenstate forms a  Schroedinger-cat-like entangled state or not depends on whether  the energy bias of the atom is zero or non-zero, and then, the effect  of the tunnel splitting of the atom is ignored.

On the other hand, in the case with the quadratic interaction,  I show in the adiabatic approximation that all the physical eigenstates  obtained by the (meson) pair theory form individual Schroedinger-cat-like  entangled states for every energy bias.

I conclude that this fact comes from the effect of the tunnel splitting.
Kontaktperson: Jacob Schach Møller