The DOI matches its Crossref record; 34 of the 34 references it cites were found in a registry or an index.
Consequences of Zeeman degeneracy for the van der Waals blockade between Rydberg atoms
Open accessAbstract
We analyze the effects of Zeeman degeneracies on the long-range interactions between like Rydberg atoms, with particular emphasis on applications to quantum-information processing using the van der Waals blockade. We present a general analysis of how degeneracies affect the primary error sources in blockade experiments, emphasizing that blockade errors are sensitive primarily to the weakest possible atom-atom interactions between the degenerate states, not the mean interaction strength. We present explicit calculations of the van der Waals potentials in the limit where the fine-structure interaction is large compared to the atom-atom interactions. The results are presented for all potential angular momentum channels involving $\mathit{s}$, $\mathit{p}$, and $\mathit{d}$ states. For most channels there are one or more combinations of Zeeman levels that have extremely small dipole-dipole interactions and are therefore poor candidates for effective blockade experiments. Channels with promising properties are identified and discussed. We also present numerical calculations of Rb and Cs dipole matrix elements and relevant energy levels using quantum defect theory, allowing for convenient quantitative estimates of the van der Waals interactions to be made for principal quantum numbers up to 100. Finally, we combine the blockade and van der Waals results to quantitatively analyze the angular distribution of the blockade shift and its consequence for angular momentum channels and geometries of particular interest for blockade experiments with Rb.
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Cites
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Local Blockade of Rydberg Excitation in an Ultracold Gas
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Resonant Dipole-Dipole Energy Transfer in a Nearly Frozen Rydberg Gas
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Evidence for Coherent Collective Rydberg Excitation in the Strong Blockade Regime
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Cited by
Weimer, H., Müller, M., Lesanovsky, I., Zoller, P., & Büchler, H. P. (2010) · Nature Physics · doi:10.1038/nphys1614 · Cited by 867
Demonstration of a Neutral Atom Controlled-NOT Quantum Gate
Isenhower, L., Urban, E., Zhang, X. L., Gill, A. T., Henage, T., Johnson, T. A., Walker, T. G., & Saffman, M. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.010503 · Cited by 848
Self-citationObservation of collective excitation of two individual atoms in the Rydberg blockade regime
Gaëtan, A., Miroshnychenko, Y., Wilk, T., Chotia, A., Viteau, M., Comparat, D., Pillet, P., Browaeys, A., & Grangier, P. (2009) · Nature Physics · doi:10.1038/nphys1183 · Cited by 846
Entanglement of Two Individual Neutral Atoms Using Rydberg Blockade
Wilk, T., Gaëtan, A., Evellin, C., Wolters, J., Miroshnychenko, Y., Grangier, P., & Browaeys, A. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.010502 · Cited by 730
Quantum computing with atomic qubits and Rydberg interactions: progress and challenges
Saffman, M. (2016) · Journal of Physics B: Atomic, Molecular and Optical Physics · doi:10.1088/0953-4075/49/20/202001 · Cited by 687
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Metadata
- Authors
- Walker, T. G., & Saffman, M.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2008-03-26
- Volume
- 77
- Issue
- 3
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2100385658
- Cited by
- 294
- References
- 34
- FWCI
- 10.44
- Type
- journal article
- Language
- en
- Open access
- green
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