Pith Number

pith:QJOXXWOD

pith:2026:QJOXXWODV3B2ITOLQH7GTLQQYF

not attested not anchored not stored refs resolved

Energy-space quantum walks: Thermalization without state convergence

Alana Spak dos Santos, Renato Moreira Angelo

Populations in energy-space quantum walks relax to the Gibbs distribution while the full quantum state retains a persistent coherence-induced deviation from the thermal manifold.

arxiv:2605.15339 v1 · 2026-05-14 · quant-ph

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3 Author claim open · sign in to claim

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

A central result is a structural decoupling between population dynamics and coherence generation: while the populations evolve according to the classical process and relax to the Gibbs distribution, the full quantum state exhibits a persistent coherence-induced deviation from the thermal manifold.

C2weakest assumption

The mapping of the walk configuration space onto a discrete ladder of energy eigenlevels can be performed independently of microscopic system-bath details and yields an effective birth-death-lazy dynamics whose stationary state is exactly the Gibbs distribution.

C3one line summary

Energy-space quantum walks separate classical population equilibration to Gibbs statistics from persistent quantum coherence that prevents full state convergence to the thermal manifold.

References

41 extracted · 41 resolved · 0 Pith anchors

[1] cold Gaussian state 2023

[2] A. Polkovnikov, K. Sengupta, A. Silva, and M. Vengalattore, Colloquium: Nonequilibrium dynamics of closed interacting quantum systems, Rev. Mod. Phys.83, 863 (2011) 2011

[3] J. Eisert, M. Friesdorf, and C. Gogolin, Quantum many-body systems out of equilibrium, Nat. Phys.11, 124 (2015) 2015

[4] A. J. Short and T. C. Farrelly, Quantum equilibration in finite time, New J. Phys.14, 013063 (2012) 2012

[5] H.-P. Breuer and F. Petruccione,The Theory of Open Quantum Systems(Oxford Univ. Press, Oxford, 2002) 2002

Receipt and verification

First computed	2026-05-20T00:00:53.300382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

825d7bd9c3aec3a44dcb81fe69ae10c163f103e3b4aeff8bc232bc1f704a2084

Aliases

arxiv: 2605.15339 · arxiv_version: 2605.15339v1 · doi: 10.48550/arxiv.2605.15339 · pith_short_12: QJOXXWODV3B2 · pith_short_16: QJOXXWODV3B2ITOL · pith_short_8: QJOXXWOD

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QJOXXWODV3B2ITOLQH7GTLQQYF \
  | 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: 825d7bd9c3aec3a44dcb81fe69ae10c163f103e3b4aeff8bc232bc1f704a2084

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38746fb389c127c280939e9e5201ed2affa77843f56d55142848db034d55fc7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-14T19:06:11Z",
    "title_canon_sha256": "9814bac1c5748c14a56ca2ebe4fb7ed2c258f183fb14892cb9fd1cfaa5709d39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15339",
    "kind": "arxiv",
    "version": 1
  }
}