Pith Number

pith:TSONGMYB

pith:2026:TSONGMYBWCDERIFNYXZ4JVJVAY

not attested not anchored not stored refs resolved

Critical speed of a binary superfluid of light

Claire Michel, Nicolas Cherroret, Pierre-\'Elie Larr\'e

The critical speed of a binary superfluid of light is set by the lower of its density and spin sound speeds, whose order can reverse when the optical nonlinearity saturates.

arxiv:2601.16005 v2 · 2026-01-22 · cond-mat.quant-gas · nlin.PS · physics.optics

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Record completeness

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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

In the weak-obstacle regime, linear-response theory shows that the critical speed is set by Landau's criterion applied to the density and spin Bogoliubov modes, whose relative ordering can be inverted due to saturation of the optical nonlinearity.

C2weakest assumption

The hydraulic and incompressible approximations remain valid for obstacles of arbitrary strength and large spatial extent when determining the critical speed from the conditions for strong ellipticity of the stationary hydrodynamic equations.

C3one line summary

The critical speed of a 2D binary superfluid of light is set by the lowest Landau velocity of density and spin Bogoliubov modes or by strong ellipticity of the hydrodynamic equations, with breakdown initiated by vortex-antivortex pairs or Jones-Roberts solitons.

References

87 extracted · 87 resolved · 1 Pith anchors

[1] A. J. Leggett, Superfluidity. Rev. Mod. Phys.71, S318 (1999).https://doi.org/10.1103/RevModPhys.71.S318 1999 · doi:10.1103/revmodphys.71.s318

[2] L. P. Pitaevskii and S. Stringari,Bose-Einstein Conden- sation and Superfluidity(Oxford University Press, Oxford, 2016) 2016

[3] I. Carusotto and C. Ciuti, Quantum fluids of light. Rev. Mod. Phys.85, 299 (2013). https://doi.org/10.1103/ RevModPhys.85.299 2013

[5] K. E. Wilson, A. Guttridge, I-K. Liu, J. Segal, T. P. Billam, N. G. Parker, N. P. Proukakis, and S. L. Cornish, Dynamics of a degenerate Cs-Yb mixture with attractive interspecies interactions. Phys. 2021 · doi:10.1103/physrevresearch.3.033096

[6] L. Cavicchioli, C. Fort, M. Modugno, F. Minardi, and A. Burchianti, Dipole dynamics of an interacting bosonic mixture. Phys. Rev. Research4, 043068 (2022). https: //doi.org/10.1103/PhysRevResearch.4.0 2022 · doi:10.1103/physrevresearch.4.043068

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-02T03:04:37.114348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c9cd33301b08648a0adc5f3c4d535060d924670f34c4566a23d695651eea33a

Aliases

arxiv: 2601.16005 · arxiv_version: 2601.16005v2 · doi: 10.48550/arxiv.2601.16005 · pith_short_12: TSONGMYBWCDE · pith_short_16: TSONGMYBWCDERIFN · pith_short_8: TSONGMYB

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TSONGMYBWCDERIFNYXZ4JVJVAY \
  | 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: 9c9cd33301b08648a0adc5f3c4d535060d924670f34c4566a23d695651eea33a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae6feb24d46b45c7fc028d88b7abe65dd9c6cb50a0b86e5b21076680b698720e",
    "cross_cats_sorted": [
      "nlin.PS",
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2026-01-22T14:30:17Z",
    "title_canon_sha256": "70610e8817d9caf91fbb921f7cad894b366614c717f7bb892df39e9c599287a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.16005",
    "kind": "arxiv",
    "version": 2
  }
}