Qubit-oscillator dynamics in the dispersive regime: analytical theory beyond rotating-wave approximation

We generalize the dispersive theory of the Jaynes-Cummings model beyond the frequently employed rotating-wave approximation (RWA) in the coupling between the two-level system and the resonator. For a detuning sufficiently larger than the qubit-oscillator coupling, we diagonalize the non-RWA Hamilton...

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Bibliographic Details
Published inarXiv.org
Main Authors Zueco, David, Reuther, Georg M, Kohler, Sigmund, Hänggi, Peter
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 20.07.2009
Subjects
Approximation
Coupling
Ising model
Mathematical analysis
Oscillators
Physics - Quantum Physics
Quantum entanglement
Resonators
Rotation
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Summary:We generalize the dispersive theory of the Jaynes-Cummings model beyond the frequently employed rotating-wave approximation (RWA) in the coupling between the two-level system and the resonator. For a detuning sufficiently larger than the qubit-oscillator coupling, we diagonalize the non-RWA Hamiltonian and discuss the differences to the known RWA results. Our results extend the regime in which dispersive qubit readout is possible. If several qubits are coupled to one resonator, an effective qubit-qubit interaction of Ising type emerges, whereas RWA leads to isotropic interaction. This impacts on the entanglement characteristics of the qubits.
ISSN:2331-8422
DOI:10.48550/arxiv.0907.3516