Dynamical localization in the microwave interaction of Rydberg atoms: The influence of noise
Abstract
We present experimental and theoretical results on highly excited Rydberg atoms passing through a waveguide. The waveguide is excited in a coherent mode with a superimposed component of technically generated noise. In the theoretical part of the paper we derive and solve a master equation for a Rydberg atom driven by a monochromatic coherent microwave field in the presence of noise. We show that a Rydberg atom subjected to a mixture of coherent modes and noise fields exhibits four dynamical regimes: (i) diffusive broadening, (ii) localization, (iii) destruction of coherence and localization, and (iv) relaxation to equilibrium. The four regimes are passed one after the other as a function of irradiation time. They occur on different time scales and are thus temporally well separated from each other. The theory is checked by an experiment on the time dependence of the population distribution of highly excited rubidium Rydberg atoms initially prepared in a unique and well-defined Rydberg state and irradiated by a strong microwave field. The localization regime, characterized by a ``freezing'' of the width of the wave packet with respect to the Rydberg levels, has been observed. The addition of a small noise component was shown to lead to delocalization after times inversely proportional to the noise power, as predicted by our theory.
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For systems with a non-degenerate spectrum, the secular approximation decouples the equations of motion for populations and coherences in the eigenbasis of the system Hamiltonian, even with two baths at different temperatures.
“For systems with a non-degenerate spectrum like the weakly coupled spin-chains treated in this work, the SA decouples the equations of motion for the populations and coherences, i.e., for the diagonal and for the offdiagonal elements of ˆ ρ I S in the eigenbasis of the system Hamiltonian ˆ H S [9, 27, 28, 29], even and especially in the case of two baths with different temperatures.”
From Modeling heat transport through completely positive maps (2007) · cites this paper as [28]
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Self-citationMicrowave-Driven Atoms: From Anderson Localization to Einstein’s Photoeffect
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Entanglement resonances of driven multi-partite quantum systems
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- Authors
- Blümel, R., Buchleitner, A., Graham, R., Sirko, L., Smilansky, U., & Walther, H.
- Affiliations
- University of Pennsylvania (US)
- Max Planck Institute of Quantum Optics (DE)
- University of Duisburg-Essen (DE)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1991-10-01
- Volume
- 44
- Issue
- 7
- Pages
- 4521-4540
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2086531477
- Cited by
- 206
- References
- 50
- Citations by year
- 2026: 4 · 2025: 5 · 2024: 7 · 2023: 3 · 2022: 2 · 2021: 12 · 2020: 9 · 2019: 7 · 2018: 8 · 2017: 7 · 2016: 5 · 2015: 8 · 2014: 6 · 2013: 10 · 2012: 3
- FWCI
- 6.68
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review A (publishedVersion)
- PubMed (publishedVersion)
- FreiDok plus (Universitätsbibliothek Freiburg) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- 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
- Keywords
- dynamical localization, Rydberg atoms, microwave field, waveguides, noise, master equation, coherent driving, wave packet dynamics, population distribution, delocalization, decoherence
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