Pith Number

pith:FJFXD2HU

pith:2026:FJFXD2HUKVWETBUCSV2AIM43Z6

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Fermionic mean-field dynamics for spin systems beyond free fermions

Karol Kowalski, Marc Illa, Niranjan Govind, Rishab Dutta

A fermionic mean-field method reproduces qualitative dynamics in interacting spin systems with polynomial classical cost.

arxiv:2604.02584 v2 · 2026-04-02 · cond-mat.str-el · quant-ph

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\pithnumber{FJFXD2HUKVWETBUCSV2AIM43Z6}

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Claims

C1strongest claim

fTDHF is formally equivalent to exact dynamics in the case of free fermions and can efficiently handle non-local string operators arising from long-range interactions via transition matrix elements between non-orthogonal Slater determinants. We show that the fTDHF method can be implemented on a classical computer with a cost that scales polynomially with system size, and linearly with the time steps.

C2weakest assumption

The mean-field approximation in the fermionic representation remains accurate enough to reproduce qualitative dynamics for interacting spin systems beyond the free-fermion limit, as tested in the three benchmark models.

C3one line summary

fTDHF is a mean-field dynamics method for spin systems that is formally exact for free fermions and reproduces qualitative features of exact evolution in benchmarks for adiabatic preparation, many-body localization, and the Schwinger model.

Formal links

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Cited by

1 paper in Pith

Seniority Eigenstate Configuration Interaction

Receipt and verification

First computed	2026-05-25T02:02:14.904606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a4b71e8f4556c498682957404339bcfb4b3c1fe4c1d71fde4fe1a531eb3f893

Aliases

arxiv: 2604.02584 · arxiv_version: 2604.02584v2 · doi: 10.48550/arxiv.2604.02584 · pith_short_12: FJFXD2HUKVWE · pith_short_16: FJFXD2HUKVWETBUC · pith_short_8: FJFXD2HU

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/FJFXD2HUKVWETBUCSV2AIM43Z6 \
  | 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: 2a4b71e8f4556c498682957404339bcfb4b3c1fe4c1d71fde4fe1a531eb3f893

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d16f861a190bf9353b30fd6ee7ceb37a29f449b9aa1cb3ef0bfbd3d1a11ead3b",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-04-02T23:41:06Z",
    "title_canon_sha256": "a8d59bb124a469ca04b14777b55448acd8a717f7bfadc6902427779f7d34df07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.02584",
    "kind": "arxiv",
    "version": 2
  }
}