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

2009/07/20 by David Zueco, Georg M. Reuther, Sigmund Kohler +1 · 10 citations
Computer Science · Mathematics · Physics and Astronomy · #Coupling (piping) #Hamiltonian (control theory) #Isotropy #Mathematics #Optics #Phase qubit #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum entanglement #Quantum mechanics #Qubit #Resonator #Rotating wave approximation #quant-ph

paper · pdf · doi:10.1103/physreva.80.033846

published as Phys. Rev. A 80, 033846 (2009) · 6 pages, 1 figure

arxiv created 2009/07/20 · openalex publication_date 2009/09/30 · arxiv updated 2010/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 XY interaction. This impacts on the entanglement characteristics of the qubits.

Citations

• Comparison of quantum and semiclassical radiation theories with application to the beam maser
• Manipulating quantum entanglement with atoms and photons in a cavity
• Demonstration of two-qubit algorithms with a superconducting quantum processor
• Observation of Berry's Phase in a Solid-State Qubit
• Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation
• High-Contrast Dispersive Readout of a Superconducting Flux Qubit Using a Nonlinear Resonator
• Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics
• Cavity quantum electrodynamics
• Coupling superconducting qubits via a cavity bus
• Quantum measurement of a coupled nanomechanical resonator–Cooper-pair box system
• Entanglement in many-body systems

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