Pith Number

pith:2CETJMGM

pith:2026:2CETJMGMYCWW37H55QQTNHBYWJ

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A study of the dimer-trimer crossover in a driven three-component Fermi gas

Carlos Lobo, Fr\'ed\'eric Chevy, Ga\"el Servignat, Ronnie Slowinski

In a driven three-component Fermi gas, dimer and trimer branches cross at a point tunable by the external drive coupling.

arxiv:2605.18405 v1 · 2026-05-18 · cond-mat.quant-gas

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Claims

C1strongest claim

We predict a crossing between the dimer and trimer branches as a function of the atom-dimer scattering length, analogous to the usual polaron and molecule problem. Furthermore, we show that the position of this crossing can be controlled by varying the atom-atom coupling that results from the external drive.

C2weakest assumption

The remaining interactions are modeled as a contact interaction between the dimer and a third atomic species which forms the medium. This modeling choice is stated in the abstract and enables the analytical expressions but is a key simplification whose validity determines whether the predicted crossing survives in the real system.

C3one line summary

Effective field theory predicts a controllable crossover between dimer and trimer branches in a driven three-component Fermi gas.

References

46 extracted · 46 resolved · 1 Pith anchors

[1] F(κ −)−F(κ +) + (κ2 + −κ 2 −) log   p k2 F −2µE+k Fq 2µκ2 +   (28) −κ − q κ2 − −κ 2 + log   q κ2 − −κ 2 + −κ − κ+   # , where F(κ) =κ p κ2 +E

[2] L. D. Landau, Electron Motion in Crystal Lattices, Phys. Z. Sowjetunion3, 10.1016/b978-0-08-010586-4.50015-8 (1933). 11 1933 · doi:10.1016/b978-0-08-010586-4.50015-8

[3] Appel, Polarons (Academic Press, 1968) pp 1968

[4] A. S. Alexandrov and J. T. Devreese,Advances in polaron physics, Vol. 159 (Springer, 2010) 2010

[5] P. Massignan, M. Zaccanti, and G. M. Bruun, Polarons, dressed molecules and itinerant ferromagnetism in ultra- cold Fermi gases, Reports on Progress in Physics77, 34401 (2014) 2014

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:05:59.093927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d08934b0ccc0ad6dfcfdec21369c38b249ef3bd4904f7fea4f3bb78c7bcc9027

Aliases

arxiv: 2605.18405 · arxiv_version: 2605.18405v1 · doi: 10.48550/arxiv.2605.18405 · pith_short_12: 2CETJMGMYCWW · pith_short_16: 2CETJMGMYCWW37H5 · pith_short_8: 2CETJMGM

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2CETJMGMYCWW37H55QQTNHBYWJ \
  | 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: d08934b0ccc0ad6dfcfdec21369c38b249ef3bd4904f7fea4f3bb78c7bcc9027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43fd37e9d1e85bae9062af930857196ad074aefa49fbd401d06de452324eef5b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2026-05-18T13:46:02Z",
    "title_canon_sha256": "4f328808452bf9f5ff7eede65fa8a6d7f0140caa992f623327eaf6ece0430e98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18405",
    "kind": "arxiv",
    "version": 1
  }
}