Abstract
We study a Rabi type Hamiltonian system in which a qubit and a dd-level quantum system (qudit) are coupled through a common resonator. In the weak and strong coupling limits the spectrum is analysed through suitable perturbative schemes. The analysis show that the presence of the multilevels of the qudit effectively enhance the qubit-qudit interaction. The ground state of the strongly coupled system is found to be of Greenberger-Horne-Zeilinger (GHZ) type. Therefore, despite the qubit-qudit strong coupling, the nature of the specific tripartite entanglement of the GHZ state suppresses the bipartite entanglement. We analyze the system dynamics under quenching and adiabatic switching of the qubit-resonator and qudit-resonator couplings. In the quench case, we found that the non-adiabatic generation of photons in the resonator is enhanced by the number of levels in the qudit. The adiabatic control represents a possible route for preparation of GHZ states. Our analysis provides relevant information for future studies on coherent state transfer in qubit-qudit systems.
Highlights
In circuit quantum electrodynamics (cQED), for example, GHZ hybrid entanglement has been achieved by state-dependent phase shift operations which involve complicated control and feedback sequences [23, 32]
Exploration of the ultrastrong coupling regime has been demonstrated beneficial for GHZ state preparation [33, 34]
The article is organized as follows: in Sec. 2, we introduce a generalization of the quantum Rabi model to describe the qubit-qudit interaction through the resonator bosonic field
Summary
The quantum Rabi model (QRM) describes the interaction between a two-level system and a single quantized harmonic oscillator mode. We formulate and study a Rabi-type minimal model describing qubit-qudit interaction mediated by a single mode quantum bosonic field This type of models has emerged recently in several studies of specific systems where atoms, solid state devices (such as superconducting and quantum dot qubits) are assembled together to form hybrid quantum networks [6, 13,14,15,16,17,18,19,20]. In cQED, for example, GHZ hybrid entanglement has been achieved by state-dependent phase shift operations which involve complicated control and feedback sequences [23, 32] In this context, exploration of the ultrastrong coupling regime has been demonstrated beneficial for GHZ state preparation [33, 34].
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