Pith Number

pith:U4D42KXM

pith:2026:U4D42KXMXVUCPPT6X2GG25SIEM

not attested not anchored not stored refs resolved

Lamb Shift of Landau Levels in Two-Dimensional Electron Systems in a Multimode Resonator

Aleksandr Shabanov, Dmitry Svintsov, Georgy Alymov

Many resonator modes greatly enhance the softening of cyclotron frequency in two-dimensional electron systems

arxiv:2605.13351 v1 · 2026-05-13 · cond-mat.mes-hall

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\pithnumber{U4D42KXMXVUCPPT6X2GG25SIEM}

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4 Citations open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

including a large number of resonator modes in the model significantly enhances the softening effect of the cyclotron frequency of a two-dimensional electron system

C2weakest assumption

The interacting system can be reduced to a set of coupled harmonic oscillators whose eigenfrequencies capture the full multimode Lamb shift without significant higher-order corrections.

C3one line summary

Accounting for many resonator modes significantly enhances the Lamb-shift softening of cyclotron frequency in 2D electron systems by mapping the problem to coupled harmonic oscillators.

References

30 extracted · 30 resolved · 0 Pith anchors

[1] Quantum hall eﬀect 1992

[2] optical pumping of electronic quantum hall states with vortex light 2025

[3] breakdown of topological protection by cav- ity vacuum ﬁelds in the integer quantum hall eﬀect 2022

[4] tunable vacuum-ﬁeld control of fractional and integer quantum hall phases 2025

[5] cavity-enhanced superconductivity in mgb2 from ﬁrst-principles quantum electrodynamics (qedft) 2024

Receipt and verification

First computed	2026-05-18T02:44:48.273179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a707cd2aecbd6827be7ebe8c6d7648232c013db8f262e2d84538d3d8e899ad4d

Aliases

arxiv: 2605.13351 · arxiv_version: 2605.13351v1 · doi: 10.48550/arxiv.2605.13351 · pith_short_12: U4D42KXMXVUC · pith_short_16: U4D42KXMXVUCPPT6 · pith_short_8: U4D42KXM

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/U4D42KXMXVUCPPT6X2GG25SIEM \
  | 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: a707cd2aecbd6827be7ebe8c6d7648232c013db8f262e2d84538d3d8e899ad4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01cc1d9a3bc81b9a17e6c3681aa64d44122b23e2ce4b56fee29b0b22487cedfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2026-05-13T11:11:05Z",
    "title_canon_sha256": "1857987b48f94d46806fbcd3e828fd319c2c2ab2a87294f309f71578eee42c7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13351",
    "kind": "arxiv",
    "version": 1
  }
}