Pith Number

pith:U5Z36R6K

pith:2026:U5Z36R6KBCYK7SWDUQYXAIVA7O

not attested not anchored not stored refs resolved

Dual-mode ground-state cooling in quadratic optomechanical systems: from multistability to general dark-mode suppression

Huanhuan Wei, Jing Tang, Yuangang Deng, Yun Chen

Simultaneous ground-state cooling of two mechanical resonators occurs on stable branches in a quadratic optomechanical system.

arxiv:2604.14515 v1 · 2026-04-16 · quant-ph

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Claims

C1strongest claim

simultaneous ground-state cooling of both mechanical resonators occurs on the dynamically stable branch of the nonlinear steady-state solutions, offering new opportunities for combined nonlinear optical and quantum cooling functionalities

C2weakest assumption

That the idealized Hamiltonian and steady-state analysis capture the dominant physics without unmodeled losses, thermal noise, or higher-order nonlinearities that would destabilize the cooling branches in a real device.

C3one line summary

Dual-mode ground-state cooling of two mechanical resonators is achieved in a quadratic optomechanical system by tuning detuning and couplings to suppress dark-mode interference on stable branches.

References

79 extracted · 79 resolved · 0 Pith anchors

[1] Additionally, an external driving ﬁeld with frequency ω L and amplitude η is applied to the optical cavity. Under the rotating-wave approximation, the relevant Hamiltonian for the system reads: ˆH/ ℏ

[2] These coeﬃcients determine the number and stability of the steady-state solutions, enabling a comprehensive understanding of the system’s multistable behavior

[3] reduces to a linear response with a single steady-state solution. Once optomechanical interactions are introduced ( g1 ̸= 0 and/or g2 ̸= 0), the system’s be- havior changes qualitatively, and multiple

[4] reduces to a third-order polynomial, then the sys- tem exhibits three steady-state solutions, corresponding to a conventional optical bistability scenario. Physically, this implies that the inclusion

[5] The emergence of ﬁve roots suggests that quadratic cou- pling alone can induce higher-order multistability

Receipt and verification

First computed	2026-05-26T01:03:30.152531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a773bf47ca08b0afcac3a4317022a0fb98ca9ddb668332bc963103e7093fdf5d

Aliases

arxiv: 2604.14515 · arxiv_version: 2604.14515v1 · doi: 10.48550/arxiv.2604.14515 · pith_short_12: U5Z36R6KBCYK · pith_short_16: U5Z36R6KBCYK7SWD · pith_short_8: U5Z36R6K

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/U5Z36R6KBCYK7SWDUQYXAIVA7O \
  | 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: a773bf47ca08b0afcac3a4317022a0fb98ca9ddb668332bc963103e7093fdf5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cac8afa11749aeaf831fee1413f96c0936540d55cf2a4dcb4150575d80d1f700",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-16T01:11:32Z",
    "title_canon_sha256": "8991f42e765f0a1b8afeaeddcbc91a9d286e10992a1bd04924950a33c0294425"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.14515",
    "kind": "arxiv",
    "version": 1
  }
}