Pith Number

pith:5DPOEGUV

pith:2026:5DPOEGUVHUQBNFXDKNV3B7KNIX

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Overcoming the Lamb Shift in System-Bath Interaction Models via KMS Detailed Balance: High-Accuracy Thermalization with Time-Bounded Interactions

Hongrui Chen, Ruizhe Zhang, Zhiyan Ding

Engineering the system-bath interaction so its transition rates satisfy KMS detailed balance makes the steady state arbitrarily close to the Gibbs state in the weak-coupling limit, no matter how the Lamb shift is structured.

arxiv:2604.15616 v2 · 2026-04-17 · quant-ph

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Record completeness

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Claims

C1strongest claim

If the system-bath interaction is engineered so that the transition part of the approximate Lindbladian generator satisfies the KMS detailed balance condition, then the unique fixed point of the dynamics can be made arbitrarily close to the Gibbs state in the weak-coupling limit, regardless of the structure of the Lamb shift term.

C2weakest assumption

The result applies only to Hamiltonians for which the associated KMS-detailed-balance Lindbladian is already known to be fast mixing; the paper provides no new mixing-time analysis and treats this property as an external input.

C3one line summary

Proves KMS detailed balance on the transition part of an approximate Lindbladian suffices for the fixed point to approach the Gibbs state arbitrarily closely regardless of Lamb shift structure, giving O(ε^{-1}) thermalization complexity.

References

44 extracted · 44 resolved · 2 Pith anchors

[1] •We set ˜β= 2β 2−β 2/(4σ2) , g(ω) = βp 2π(2−β 2/(4σ2)) exp − (βω+ 1) 2 2 (2−β 2/(4σ2)) , f(t) = e−t2/(4σ2) p σ √ 2π

[2] Applications to the algorithms in [15, 21] In this section, we focus on the algorithms proposed in [15, 21], reviewed in Section II D. In both setups, it is straightforward to verify that the transiti

[3] Rapid thermalization of spin chain commuting Hamiltonians.Phys 2023

[4] Fast mixing of quantum spin chains at all temperatures.arXiv/2510.08533, 2026 2026

[5] Chi-Fang Chen and Fernando G. S. L. Brand˜ ao. Fast thermalization from the eigenstate thermalization hypothesis. arXiv:2112.07646, 2023 2023

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Rigorous error bounds for dissipative thermal state preparation from weak system-bath coupling

Receipt and verification

First computed	2026-05-20T00:00:38.250955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8dee21a953d201696e3536bb0fd4d45cd44decfe3b5bdd3f382fac82d8f4571

Aliases

arxiv: 2604.15616 · arxiv_version: 2604.15616v2 · doi: 10.48550/arxiv.2604.15616 · pith_short_12: 5DPOEGUVHUQB · pith_short_16: 5DPOEGUVHUQBNFXD · pith_short_8: 5DPOEGUV

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5DPOEGUVHUQBNFXDKNV3B7KNIX \
  | 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: e8dee21a953d201696e3536bb0fd4d45cd44decfe3b5bdd3f382fac82d8f4571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c686b627f6ab656b561050e333cb6ab549929239148c1b711d78966220bc37c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-17T01:44:43Z",
    "title_canon_sha256": "294a362cde8f29c879e69c0a6fec1f1b15c0ab1ba1c796fd1f7437b0f9fdaa2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.15616",
    "kind": "arxiv",
    "version": 2
  }
}