Pith Number

pith:UUQWUGTW

pith:2026:UUQWUGTWJVGQ45I3HIMZYPK7MS

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Accurate Modeling of Rydberg Atoms and Their Interactions: Theory and Implementation in PairInteraction

Alicia Keil, Beatriz Olmos, Eduard J. Braun, Frederic Hummel, Hans Peter B\"uchler, Henri Menke, Johannes M\"ogerle, Jonathan King, Sebastian Hofferberth, Sebastian Weber, Tangi Legrand

A framework based on multi-channel quantum defect theory and Green's tensors accurately models Rydberg atoms of divalent species and their interactions in arbitrary geometries.

arxiv:2605.14993 v1 · 2026-05-14 · physics.atom-ph · quant-ph

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Claims

C1strongest claim

The framework provides a precise description of Rydberg states of divalent atoms and a general approach for calculating interactions in arbitrary geometries, with the implementation achieving speedups of one order of magnitude and excellent agreement with experimental data for an exemplary Stark map of 174Yb.

C2weakest assumption

That the multi-channel quantum defect theory parameters and static electromagnetic Green's tensors accurately capture all relevant physics for the target atoms and geometries without needing additional corrections for dynamic effects or higher-order interactions.

C3one line summary

PairInteraction software now implements MQDT and Green's tensor methods for accurate Rydberg atom modeling, with 10x faster pair-potential calculations and good experimental agreement on ytterbium Stark maps.

References

108 extracted · 108 resolved · 0 Pith anchors

[1] Its constructor allows the basis to be restricted by quantum numbers

[2] A basis of the two-atom Hilbert space is then created by instantiating the BasisPair class with two diagonalized single-atom systems

[3] Quantum computing with neutral atoms 2025

[4] Gallagher,Rydberg Atoms, Cambridge Monographs on Atomic, Molecular and Chemical Physics (Cambridge University Press, 1994) 1994

[5] D. Jaksch, J. I. Cirac, P. Zoller, S. L. Rolston, R. Côté, and M. D. Lukin, Fast Quantum Gates for Neutral Atoms, Physical Review Letters85, 2208 (2000) 2000

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:38:54.997517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5216a1a764d4d0e751b3a199c3d5f64b58e4f3f21e0089d15db4cb812f4d457

Aliases

arxiv: 2605.14993 · arxiv_version: 2605.14993v1 · doi: 10.48550/arxiv.2605.14993 · pith_short_12: UUQWUGTWJVGQ · pith_short_16: UUQWUGTWJVGQ45I3 · pith_short_8: UUQWUGTW

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UUQWUGTWJVGQ45I3HIMZYPK7MS \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a5216a1a764d4d0e751b3a199c3d5f64b58e4f3f21e0089d15db4cb812f4d457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fde3959f848223bd18077217b99113ad6b3e46b5705f7d480f8161c7562d660",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.atom-ph",
    "submitted_at": "2026-05-14T15:55:39Z",
    "title_canon_sha256": "e352cb32eeb1bfcdacdfdfaeac0870d44c9741f2e7eb42ba94c88864b0affaf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14993",
    "kind": "arxiv",
    "version": 1
  }
}