Pith Number

pith:HJAYR66S

pith:2026:HJAYR66S7WV5X4W72AORUPBEEU

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Long-range waveguide-quantum electrodynamics with left-handed transmission lines

A. Kamal, C. A. Gonz\'alez-Guti\'errez, J. Liu, P. Goswami

A left-handed transmission line coupled to a quantum emitter generates native long-range interactions through logarithmically decaying hopping amplitudes.

arxiv:2603.04581 v2 · 2026-03-04 · quant-ph · cond-mat.mes-hall

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Claims

C1strongest claim

the LHTL emulates a synthetic photonic lattice with a slow logarithmic decay of hopping amplitudes over a distance set entirely by the ratio of UV and IR cutoffs of line dispersion. Its intrinsic long-range nature manifests both in the properties of atom-photon bound and scattering states, which exhibit algebraic localization and accelerated photon propagation respectively.

C2weakest assumption

That a physical left-handed transmission line can be fabricated and operated such that its dispersion relation produces the claimed logarithmic hopping decay without significant deviations from the ideal model or higher-order effects.

C3one line summary

A left-handed transmission line coupled to a quantum emitter produces long-range interactions with logarithmic hopping decay, algebraic localization of bound states, and accelerated photon propagation.

References

35 extracted · 35 resolved · 0 Pith anchors

[1] calculational

[2] Non-Markovian Qubit Dynamics Plugging Eq. 17 in time-dependent Schr¨ odinger equa- tion gives a set of coupled differential equations which, after eliminating the photonic mode amplitudes, yields, ˙˜C

[3] Photon Dynamics: accelerated light cones Long-range couplings and interactions are known to profoundly modify the propagation of excitations and correlations in many-body systems [21–24]. Specifically

[4] A. S. Sheremet, M. I. Petrov, I. V. Iorsh, A. V. Poshakin- skiy, A. N. Poddubny, Waveguide quantum electrody- namics: Collective radiance and photon-photon correla- tions.Rev. Mod. Phys.95, 015002 (20 2023

[5] G. Andersson, B. Suri, L. Guo, T. Aref, P. Delsing, Non-exponential decay of a giant artificial atom.Nature Physics15(11), 1123–1127 (2019) 2019

Receipt and verification

First computed	2026-05-17T23:38:59.785273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a4188fbd2fdabdbf2dfd01d1a3c242501715aef4c39484ad2c0dd9b9eed5fca

Aliases

arxiv: 2603.04581 · arxiv_version: 2603.04581v2 · doi: 10.48550/arxiv.2603.04581 · pith_short_12: HJAYR66S7WV5 · pith_short_16: HJAYR66S7WV5X4W7 · pith_short_8: HJAYR66S

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HJAYR66S7WV5X4W72AORUPBEEU \
  | 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: 3a4188fbd2fdabdbf2dfd01d1a3c242501715aef4c39484ad2c0dd9b9eed5fca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dad2a3245495e014f3f06b556e6c5e51991f8cb0b2323eed67eb64ed23d57f1",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-03-04T20:22:06Z",
    "title_canon_sha256": "bcec52f397f4f3af14085dfaae5db1005f41da7c6f2a062de44e57cfb3df5fdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.04581",
    "kind": "arxiv",
    "version": 2
  }
}