Absence of Vacuum Induced Berry Phases without the Rotating Wave Approximation in Cavity QED
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We revisit earlier studies on Berry phases suggested to appear in certain cavity QED settings. It has been especially argued that a nontrivial geometric phase is achievable even in the situation of no cavity photons. We, however, show that such results hinge on imposing the rotating wave approximation (RWA), while without the RWA no Berry phases occur in these schemes. A geometrical interpretation of our results is obtained by introducing semiclassical energy surfaces which in a simple way brings out the phase-space dynamics. With the RWA, a conical intersection between the surfaces emerges and encircling it gives rise to the Berry phase. Without the RWA, the conical intersection is absent and therefore the Berry phase vanishes. It is believed that this is a first example showing how the application of the RWA in the Jaynes-Cummings model may lead to false conclusions, regardless of the mutual strengths between the system parameters.
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The rotating-wave approximation may lead to faulty results.
“(iii) Refs. 33 and 34 found that the RWA may lead to faulty results.”
From Quantum speed limits in open systems: Non-Markovian dynamics without rotating-wave approximation (2015) · cites this paper as [33]
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Hu, B., Zhou, H., Chen, S., Xianlong, G., & Wang, K. (2016) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/aa5450 · Cited by 1 · see citing works
Geometric phases in neutrino mixing
Manosh, T. M., Shaji, N., Thayyullathil, R. B., & Mathew, T. K. (2022) · Modern Physics Letters A · doi:10.1142/s0217732322502133 · Cited by 1 · see citing works
The justification of 'Two-Level Approximation' in strong light-matter interactionPreprint
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Self-citationNoise effects on the Wilczek–Zee geometric phase
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- Authors
- Larson, J.
- Affiliations
- Stockholm University (SE)
- Corresponding author
- Larson, Jonas
- ORCID
- Larson, Jonas
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-01-18
- Volume
- 108
- Issue
- 3
- Pages
- 033601-033601
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2001194603
- Cited by
- 71
- References
- 47
- Citations by year
- 2025: 1 · 2024: 1 · 2023: 2 · 2022: 3 · 2021: 4 · 2020: 3 · 2019: 5 · 2018: 4 · 2017: 12 · 2016: 8 · 2015: 9 · 2014: 5 · 2013: 8 · 2012: 6
- FWCI
- 4.63
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
- Keywords
- Berry phase, rotating wave approximation, cavity quantum electrodynamics, Jaynes-Cummings model, conical intersections, phase space dynamics
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