Switchable selective interactions in a Dicke model with a driven biased term

In this work, we propose a method to investigate controllable qubit-resonator interactions in a Dicke model with driven biased term. The nonlinearity of the spectrum, which can be induced by qubit-resonator interactions, plays an important role in such controllable interactions. To gain insight into the mechanism of the nonlinearity, we perform a unitary transformation of the Hamiltonian. The results show that the nonlinearity of the transformed Hamiltonian depends on the qubit-resonator coupling strength. The general forms of the effective Hamiltonians are discussed in detail based on the frequency modulation approach. The dynamical evolution can be switched on and off by adjusting the modulation parameters. By utilizing such controllable interactions, we discuss the creation of Dicke states and the arbitrary superposition of Dicke states. We also consider the nonlinearity of the energy level for the limit of large qubit numbers. In the thermodynamics limit, the Kerr type nonlinearity is induced from magnon-resonator coupling, and the selective preparation of magnon Fock states can be studied under a magnon scenario.

Automated summary

A method for investigating controllable qubit-resonator interactions in a Dicke model with driven biased term is proposed in this study, where the nonlinearity of the spectrum induced by qubit-resonator interactions plays a crucial role in controllable interactions. Nonlinearity of the transformed Hamiltonian depends on the qubit-resonator coupling strength, and general forms of effective Hamiltonians are discussed based on the frequency modulation approach. By utilizing such controllable interactions, creation of Dicke states and arbitrary superposition of Dicke states can be discussed.