Qubit-oscillator dynamics in the dispersive regime: Analytical theory beyond the rotating-wave approximation
Open accessAbstract
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.
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The same description can be used to cover relevant high-dimensional systems that effectively behave like qubits.
“Although considering the case of a single qubit might sound simplistic, the same description can be used to cover relevant high-dimensional systems that effectively behave like qubits [60,61].”
From Tight, robust, and feasible quantum speed limits for open dynamics (2019) · cites this paper as [61]
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“Although considering the case of a single qubit might sound simplistic, the same description can be used to cover relevant high-dimensional systems that effectively behave like qubits [60, 61].”
Background
- Authors
- Zueco, D., Reuther, G. M., Kohler, S., & Hänggi, P.
- Affiliations
- University of Augsburg (DE)
- Consejo Superior de Investigaciones Científicas (ES)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2009-09-30
- Volume
- 80
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2073060438
- Cited by
- 201
- References
- 43
- Citations by year
- 2026: 10 · 2025: 17 · 2024: 12 · 2023: 13 · 2022: 16 · 2021: 15 · 2020: 15 · 2019: 13 · 2018: 8 · 2017: 14 · 2016: 8 · 2015: 14 · 2014: 5 · 2013: 13 · 2012: 10
- FWCI
- 9.72
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- OPUS (Augsburg University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Mechanical and Optical Resonators
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- qubit-oscillator coupling, dispersive regime, Jaynes-Cummings model, rotating wave approximation, qubit readout, Ising interaction, XY interaction, qubit entanglement, two-level system
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