pith:WN3F4J25
No measurement induced phase transition in the entanglement dynamics of monitored non-interacting one-dimensional fermions in a disordered or quasiperiodic potential
Monitored non-interacting fermions in disordered or quasiperiodic potentials remain in an area-law entanglement phase for any monitoring strength.
arxiv:2605.10758 v2 · 2026-05-11 · quant-ph · cond-mat.dis-nn
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\pithnumber{WN3F4J25AKXT4A6GW4A5Y4X7Z4}
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Claims
the critical monitoring strength is consistent with zero so no MIPT occurs... confirms the absence of the MIPT for any monitoring or disorder strength.
That finite-size scaling with maximum lattice size L=18000 is sufficient to establish that the correlation length remains finite for any nonzero monitoring strength, and that the nonlinear sigma model mapping with mass term fully captures the monitored dynamics without missing relevant operators.
Large-scale numerics up to 18000 sites and nonlinear sigma model analysis demonstrate that monitored non-interacting 1D fermions in disorder or quasiperiodicity exhibit only area-law entanglement with no MIPT at any monitoring strength.
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Receipt and verification
| First computed | 2026-05-20T02:05:45.735378Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
b3765e275d02af3e03c6b701dc72ffcf2d215366d8c71ea46539477273fde99d
Aliases
· · · · ·Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WN3F4J25AKXT4A6GW4A5Y4X7Z4 \
| 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: b3765e275d02af3e03c6b701dc72ffcf2d215366d8c71ea46539477273fde99d
Canonical record JSON
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"license": "http://creativecommons.org/licenses/by/4.0/",
"primary_cat": "quant-ph",
"submitted_at": "2026-05-11T15:55:20Z",
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