Pith Number

pith:KX6EMISL

pith:2026:KX6EMISLWALJM72MHJQQTE7YIF

not attested not anchored not stored refs pending

Exact Criterion for Ground-State Overlap Dominance after Quantum Quenches

Taisanul Haque

For free-fermion Hamiltonians that split into independent 2x2 sectors, the final ground state has the largest overlap with the initial ground state after a quench exactly when the initial and final Bloch vectors point into the same half of

arxiv:2604.11420 v2 · 2026-04-13 · cond-mat.stat-mech · quant-ph

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\usepackage{pith}
\pithnumber{KX6EMISLWALJM72MHJQQTE7YIF}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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

For Hamiltonians that factorize into independent 2×2 sectors, the final ground state is uniquely maximal if and only if the initial and final sector Bloch vectors have positive dot product.

C2weakest assumption

The Hamiltonians are translationally invariant free-fermion systems that factorize into independent 2×2 sectors (as stated for the class solved exactly).

C3one line summary

For translationally invariant free-fermion systems with Hamiltonians factorizing into independent 2x2 sectors, the final ground state is the unique maximal-overlap state after a same-phase quench if and only if the initial and final sector Bloch vectors have positive dot product; this fails for some

Cited by

1 paper in Pith

Comment on "Extension of the adiabatic theorem"

Receipt and verification

First computed	2026-05-20T01:06:09.487849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55fc46224bb016967f4c3a610993f841562be55b0c4970acade103c70b005b57

Aliases

arxiv: 2604.11420 · arxiv_version: 2604.11420v2 · doi: 10.48550/arxiv.2604.11420 · pith_short_12: KX6EMISLWALJ · pith_short_16: KX6EMISLWALJM72M · pith_short_8: KX6EMISL

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KX6EMISLWALJM72MHJQQTE7YIF \
  | 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: 55fc46224bb016967f4c3a610993f841562be55b0c4970acade103c70b005b57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25aaff6eaba851a7fb1d976c8f46a4fb5cc639c63fe30860afb1febb2c9deaf9",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-04-13T13:03:11Z",
    "title_canon_sha256": "14f3bb1b5f45ae26b799f836605067ad9b1e90de05c23199f70cd9008e8fad55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.11420",
    "kind": "arxiv",
    "version": 2
  }
}