Pith Number

pith:LTZML4QW

pith:2025:LTZML4QWI7KT56XDE5PUIFBYAX

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Characterizing quantum synchronization in the van der Pol oscillator via tomogram and photon correlation

Kingshuk Adhikary, K. M. Athira, M. Rohith

In a driven quantum van der Pol oscillator, the nonclassical area from tomograms and zero-delay photon correlations both mark the synchronization region.

arxiv:2512.21272 v2 · 2025-12-24 · quant-ph

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Claims

C1strongest claim

Within a well-defined parameter regime of drive strength and detuning, both δ and g^(2)(0) exhibit pronounced signatures of synchronization that complements the phase coherence between the drive and the vdPo.

C2weakest assumption

The analytical expression for the steady-state density matrix remains valid for arbitrary drive strengths and that the nonclassical area δ extracted from the tomogram directly quantifies nonclassicality without requiring full state reconstruction.

C3one line summary

Nonclassical area δ from the tomogram and g^(2)(0) serve as direct experimental signatures of quantum synchronization in the driven van der Pol oscillator.

References

56 extracted · 56 resolved · 0 Pith anchors

[1] For quantum state described by the density matrix ρ the tomogram is defined as [37, 49] ω(Xθ, θ) = ⟨Xθ, θ|ρ|Xθ, θ⟩

[2] of quantum states and their features in the perspective of QS. Figure 3 exhibits the behaviour of the steady-state quantum tomograms 3(a)-3(c) and their corresponding Wigner functions 3(d)-3(f) at var 2022

[3] A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences , Cambridge Nonlinear Science Series (Cambridge University Press, 2001) 2001

[4] Strogatz, Sync: The Emerging Science of Spontaneous Order (Penguin Books Limited, 2004) 2004

[5] G. M. Vaidya, S. B. J ¨ager, and A. Shankar, Phys. Rev. A111, 012410 (2025) 2025

Formal links

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Receipt and verification

First computed	2026-06-01T01:03:48.013030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cf2c5f21647d53efae3275f44143805c9e6dac3139a403318529c256b48c247

Aliases

arxiv: 2512.21272 · arxiv_version: 2512.21272v2 · doi: 10.48550/arxiv.2512.21272 · pith_short_12: LTZML4QWI7KT · pith_short_16: LTZML4QWI7KT56XD · pith_short_8: LTZML4QW

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LTZML4QWI7KT56XDE5PUIFBYAX \
  | 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: 5cf2c5f21647d53efae3275f44143805c9e6dac3139a403318529c256b48c247

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1c5e42d333532b36b15c0e4914c8c628c7cd226f7911e5a5b05469ce0f70b90",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-12-24T16:40:16Z",
    "title_canon_sha256": "877716aab38b766cfcadf4094fcb69693637708d4eabe49c4fc577e68826a443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.21272",
    "kind": "arxiv",
    "version": 2
  }
}