Searching for structure beyond parity in the two-qubit Dicke model
arXiv:1308.5995 · doi:10.1088/1751-8113/47/13/135306
Abstract
We try to classify the spectrum of the two-qubit Dicke model by calculating two quantum information measures of its eigenstates: the Wooters concurrence and the mutual quantum information. We are able to detect four spectral sets in each parity subspace of the model: one set is regular and given by the product of a Fock state of the field times the singlet Bell state of the qubits; the rest are fairly regular and related to the triplet states of the Bell basis. The singlet states become trapping states when we couple the Dicke model to an environment of harmonic oscillators, making them candidates for generating maximally entangled states in experimental realizations of ion trap quantum electrodynamics (QED) and circuit QED. Furthermore, they are robust and survive the inclusion of driving and dipole-dipole interactions, pointing to their use for storing quantum correlations, and it is straightforward to provide a generalization of these trapping states to the Dicke model with even number of qubits.
10 pages, 2 figures, 1 table
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- Solutions to the quantum Rabi model with two equivalent qubits
- Concise analytic solutions to the quantum Rabi model with two arbitrary qubits
- Dark-like states for the multi-qubit and multi-photon Rabi models
- Algebraic structure of the two-qubit quantum Rabi model and its solvability using Bogoliubov operators
- Exact solvability, non-integrability, and genuine multipartite entanglement dynamics of the Dicke model
- Squeezed displaced entangled states in the quantum Rabi model
- Quantum Features of the Thermal Two-Qubit Quantum Rabi Model in Ultra- and Deep-Strong Regimes
- Incoherent-mediator for quantum state transfer in the ultrastrong coupling regime
- Tripartite quantum Rabi model with trapped Rydberg ions