Pith Number

pith:RBLTNEXI

pith:2026:RBLTNEXIFLTTUHF6LO2PHSL27P

not attested not anchored not stored refs resolved

Probing Floquet topological phases via non-Hermitian skin effect of reflected waves

Fangqiao Ye, Haiping Hu

The momentum-integrated Goos-Hänchen shift of reflected waves equals the Floquet topological invariant for each quasienergy gap.

arxiv:2605.13563 v1 · 2026-05-13 · cond-mat.mes-hall · cond-mat.quant-gas · quant-ph

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\pithnumber{RBLTNEXIFLTTUHF6LO2PHSL27P}

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Record completeness

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2 Internet Archive

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

the momentum-integrated GH shift quantitatively yields the Floquet topological invariant of the corresponding gap

C2weakest assumption

The non-Hermitian winding number of the reflection matrix is linked to the bulk Floquet invariant via boundary resonances in the discrete-time scattering formalism

C3one line summary

The non-Hermitian winding number of the reflection matrix links to the bulk Floquet invariant through boundary resonances, and the momentum-integrated Goos-Hänchen shift quantitatively measures the gap's topological invariant.

References

57 extracted · 57 resolved · 0 Pith anchors

[1] M. Bukov, L. D’Alessio, and A. Polkovnikov, Univer- sal high-frequency behavior of periodically driven sys- tems: from dynamical stabilization to Floquet engineer- ing, Adv. Phys.64, 139 (2015) 2015

[2] Eckardt, Colloquium: Atomic quantum gases in pe- riodically driven optical lattices, Rev 2017

[3] T. Oka and S. Kitagawa, Floquet Engineering of Quan- tum Materials, Annu. Rev. Condens. Matter Phys.10, 387 (2019) 2019

[4] T. Oka and H. Aoki, Photovoltaic Hall effect in graphene, Phys. Rev. B79, 081406 (2009) 2009

[5] T. Kitagawa, E. Berg, M. Rudner, and E. Demler, Topo- logical phases of periodically driven systems, Phys. Rev. B82, 235114 (2010) 2010

Receipt and verification

First computed	2026-05-18T02:44:23.487027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88573692e82ae73a1cbe5bb4f3c97afbcf8666065dd6c1123353bebd8ad5c84a

Aliases

arxiv: 2605.13563 · arxiv_version: 2605.13563v1 · doi: 10.48550/arxiv.2605.13563 · pith_short_12: RBLTNEXIFLTT · pith_short_16: RBLTNEXIFLTTUHF6 · pith_short_8: RBLTNEXI

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/RBLTNEXIFLTTUHF6LO2PHSL27P \
  | 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: 88573692e82ae73a1cbe5bb4f3c97afbcf8666065dd6c1123353bebd8ad5c84a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10f6dbe811ea571bd7c50233ad47f66af8a6654c10d0773f67c120810409bf1d",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2026-05-13T14:03:27Z",
    "title_canon_sha256": "d260e2b765dca99005b3efbafe5d5a4adbdf6c57fc35a1418f551bbe1931eec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13563",
    "kind": "arxiv",
    "version": 1
  }
}