Pith Number

pith:JV2RUA4W

pith:2026:JV2RUA4WDDVVXEDX5M62BKNLFH

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Effective Dynamics for the Bose Polaron in the Large-Volume Mean-Field Limit

Jonas Lampart, Peter Pickl, Siegfried Spruck

The microscopic dynamics of the Bose polaron converge to the translation-invariant Bogoliubov-Fröhlich Hamiltonian in the large-volume mean-field limit.

arxiv:2604.11976 v2 · 2026-04-13 · math-ph · math.MP

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Claims

C1strongest claim

We derive from the microscopic dynamics, in the joint limit of large densities and volumes, with the constraint Λ³ ≪ ρ, the effective description by the translation-invariant Bogoliubov-Fröhlich Hamiltonian, which couples the quantum field of excitations linearly to the impurity particle.

C2weakest assumption

The initial state consists of almost all bosons in the Bose-Einstein condensate with only a few excitations, combined with the specific scaling constraint Λ³ ≪ ρ that controls the mean-field limit.

C3one line summary

In the joint limit of large densities and volumes with Λ³ ≪ ρ, the microscopic Bose polaron dynamics converge to the translation-invariant Bogoliubov-Fröhlich Hamiltonian.

Receipt and verification

First computed	2026-05-25T02:02:15.221018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d751a039618eb5b9077eb3da0a9ab29f4f5d5a528f200be5ca216659d0a27e5

Aliases

arxiv: 2604.11976 · arxiv_version: 2604.11976v2 · doi: 10.48550/arxiv.2604.11976 · pith_short_12: JV2RUA4WDDVV · pith_short_16: JV2RUA4WDDVVXEDX · pith_short_8: JV2RUA4W

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JV2RUA4WDDVVXEDX5M62BKNLFH \
  | 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: 4d751a039618eb5b9077eb3da0a9ab29f4f5d5a528f200be5ca216659d0a27e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "043ccb63863b0d84d3023e698b387a448d1880b1bfd21e948a0b8b63fd2a6307",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-04-13T19:08:58Z",
    "title_canon_sha256": "405d9f5f0934859a5d972d0e3562d77f41af3eba3955ea76d1c8b5a0126744e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.11976",
    "kind": "arxiv",
    "version": 2
  }
}