2022/03/07 by Ning Yu, Shiran Wang, Chunfang Sun +1 · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Ferromagnetism #Hamiltonian (control theory) #Magnon #Mathematics #Mechanical and Optical Resonators #Nonlinear system #Physics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Quantum optics and atomic interactions #Qubit #Resonator #Statistical physics #Superposition principle #Unitary transformation #quant-ph
paper · pdf · doi:10.1103/physreve.105.034125
published in Physical review. E 105(3), 034125 (American Physical Society) · 10 pages, 6 figures, accepted by Physical Review E
arxiv created 2022/03/07 · openalex publication_date 2022/03/18 · arxiv updated 2022/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.