Pith Number

pith:X5KVALMU

pith:2026:X5KVALMUY6436A2IFUQDRZM7LW

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Scale invariance of the polaron energy at the Mott-superfluid critical point

Alessio Recati, C. J. Bradly, Georg M. Bruun, Joachim Brand, Matija \v{C}ufar, Ragheed Alhyder, Victor E. Colussi

The energy of a weakly interacting impurity in a lattice Bose gas stays constant under size rescaling at the Mott-superfluid transition point.

arxiv:2604.17824 v2 · 2026-04-20 · cond-mat.quant-gas · physics.comp-ph

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\pithnumber{X5KVALMUY6436A2IFUQDRZM7LW}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications 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

Finite-size scaling of the energy reveals that its value is scale invariant at the critical point of the quantum phase transition, and we extract a scaling exponent that is currently unexplained by theory.

C2weakest assumption

The impurity interacts weakly enough that it does not appreciably shift the location or nature of the underlying Mott-superfluid transition, and finite-size scaling from accessible lattice sizes reliably extrapolates to the thermodynamic limit at criticality.

C3one line summary

Ground-state quantum Monte Carlo calculations demonstrate scale invariance of the polaron energy at the Mott-superfluid critical point in a lattice Bose gas and extract an unexplained scaling exponent.

References

50 extracted · 50 resolved · 2 Pith anchors

[1] Sachdev,Quantum Phase Transitions, 2nd ed 2011

[2] M. E. Fisher and M. N. Barber, Scaling Theory for Finite- Size Effects in the Critical Region, Physical Review Let- ters28, 1516 (1972) 1972

[3] Cardy, ed.,Finite-Size Scaling, Current Physics – Sources and Comments, Vol 2012

[4] Vojta, Quantum phase transitions, Reports on Progress in Physics66, 2069 (2003) 2069

[5] A. Camacho-Guardian, N. Goldman, P. Massignan, and G. M. Bruun, Dropping an impurity into a chern insula- tor: A polaron view on topological matter, Phys. Rev. B 99, 081105 (2019) 2019

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:39.091151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf55502d94c7b9bf03482d2038e59f5d81dbc54df8ab0c44c0bf62b155cc1ce1

Aliases

arxiv: 2604.17824 · arxiv_version: 2604.17824v2 · doi: 10.48550/arxiv.2604.17824 · pith_short_12: X5KVALMUY643 · pith_short_16: X5KVALMUY6436A2I · pith_short_8: X5KVALMU

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/X5KVALMUY6436A2IFUQDRZM7LW \
  | 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: bf55502d94c7b9bf03482d2038e59f5d81dbc54df8ab0c44c0bf62b155cc1ce1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd21b3ad09134af50bc5df2cc0321fe1c3a62a427d8a050aaf16ac1ea30336dd",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2026-04-20T05:23:55Z",
    "title_canon_sha256": "3ad844e5298c602b4ad436c1f0a8989678da1df9b99024f4c76d4ef9aa134913"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.17824",
    "kind": "arxiv",
    "version": 2
  }
}