Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-24T15:29:27.050500Z
Paper Citation Record · LEDGER
As of 15 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 1 inbound Pith citation observation for arXiv:1907.11460.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-24T15:29:27.050500Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T05:36:29.323700Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-14T05:36:29.536135Z
47 of 47 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 878dbf78-dbe9-496d-accd-5cbf474d5056 · outbound
Classification of topological ladder models There are two ways in which the Hamiltonian matrix of a ladder with chiral symmetry can be written
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6ca597b9-174b-48f1-8d34-f10d16a73047 · outbound
Classification of topological ladder models In the presence of this phase δ the Hamiltonian matrix has a different form and breaks time reversal and charge con- jugation symmetries
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 593bf317-b7fb-4ff3-984a-724ca624199d · outbound
Classification of topological ladder models Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation edcc74df-b39c-4387-9686-fea6ae7be0a8 · outbound
Classification of topological ladder models We consider the bowtie ladder and define the unitary transformation W as: W : { ˆa† n−→ ˆb† N+1−n ˆb† n−→ ˆa† N+1−n
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 71497cb2-fe9d-4c13-b319-9923e28d4a50 · outbound
Classification of topological ladder models That is, being the edge mode|e⟩ in Eq.(84) an eigenstate of the bowtie ladder Hamiltonian with some energy E, then the state US|e⟩ is another eigenstate with energy −E
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b3edfb89-85a0-477d-bd6c-b6a1c76f7219 · outbound
Classification of topological ladder models Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 722a274f-dcf0-4f19-8f75-8af74b09041f · outbound
Classification of topological ladder models Both states have the same mo- mentum density distribution: ⟨ˆnk⟩ = 1 κ ρ2(k) , (109) where ˆnk = ˆa† kˆak+ˆb† k ˆbk
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 83d702a4-ec93-4d8d-8e19-e840cfa97896 · outbound
Classification of topological ladder models Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 80657be1-e1c7-4a59-b2e2-2f6f7d1f906e · outbound
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fbdb1f7d-f629-4b61-a345-6e335e2f4790 · outbound
Classification of topological ladder models In this context, if a Hamiltonian H presents timer re- versal symmetry there is a global unitary transformation UT such that: UT H U† T = H
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6f9d92a9-b421-4b3a-957e-7ff286886812 · outbound
Classification of topological ladder models Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e4c8dcca-d3b1-4d2d-b3e7-b802644de77c · outbound
Classification of topological ladder models The chiral symmetry implies that the Hamiltonian ma- trix has no component proportional to the identity
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 62854ec6-23ce-4e95-83aa-10f16d6e0b9b · outbound
Classification of topological ladder models If a model has no diagonal couplings, that is t = t′ = 0, the condition for chiral symmetry (138) is fulfilled independently of the rest of the parameters
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d37ceeb3-97ed-496a-a64d-d108dbedf9d9 · outbound
Classification of topological ladder models (138), vanishes and, thus, the on-site energy can take any value
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 256acea1-36ff-4730-8c78-94efb4caee5c · outbound
Classification of topological ladder models This corresponds to the last model [Fig
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7a06bb8b-05be-411a-a493-c9e4ba8c44cc · outbound
Classification of topological ladder models (139) and Eq
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 74ef2194-9a6e-41cb-9cbe-50c21b179345 · outbound
Classification of topological ladder models H¨ ugel and B
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 23b0503c-c302-4244-a057-e436952ebb9d · outbound
Classification of topological ladder models Aidelsburger, M
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 37f3bce0-8f11-4b29-a82e-330ee1e0c447 · outbound
Classification of topological ladder models Aidelsburger, M
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f44fd666-ae5f-44fc-b321-33e68453cb47 · outbound
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5e7c3a93-c887-4952-9eea-028bd5da6978 · outbound
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation dc4fd450-d6e5-4eb2-867c-f1c71f15aca3 · outbound
Classification of topological ladder models Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c7bf9bd5-c6ad-4035-9762-3ab7d52f0f42 · outbound
Classification of topological ladder models Mancini, G
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 012d8eea-0c19-4836-883d-6c359ab1d375 · outbound
Classification of topological ladder models Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6951cb68-5686-435d-8973-a5fbad0964c9 · outbound
Classification of topological ladder models Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 115e962e-150d-4c16-a99c-d34634cbf417 · outbound
Classification of topological ladder models Kolkowitz, S
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 06f162f2-770f-46c4-9775-262c0ea8b38c · outbound
Classification of topological ladder models Unresolved cited work
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4b1b64a2-3021-4a23-80a6-5df9ff61df30 · outbound
Classification of topological ladder models Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6eecbd6b-0413-4c4c-bbb5-59c6e0540454 · outbound
Classification of topological ladder models Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 76e3bbcb-783b-4a3d-bcce-07c7c8b3e750 · outbound
Classification of topological ladder models Topological Creutz Ladder in a Resonantly Shaken 1D Optical Lattice
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 43b4cc17-e294-4ae0-9e50-e2af72777840 · outbound
Classification of topological ladder models Anisimovas, M
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c3f7c1c7-ace4-4f5d-9d82-3f03f61124c0 · outbound
Classification of topological ladder models J¨ unemann, A
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3d925bdb-e0ff-4fd0-9102-3ad9b10f96a6 · outbound
Classification of topological ladder models Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 93cc7c65-5a34-49d8-b1d8-f55cce46c379 · outbound
Classification of topological ladder models Experimental realization of a symmetry protected topological phase of interacting bosons with Rydberg atoms
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f4c8a7bf-5128-471e-bf42-757ca52a3d75 · outbound
Classification of topological ladder models Gholizadeh, M
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e4eb0276-3070-4d4e-a8e6-f6f5fad913f9 · outbound
Classification of topological ladder models Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4443fb72-dc31-4044-acff-8393b379ec58 · outbound
Classification of topological ladder models Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 16406871-abde-49c0-a024-2f7cc608bc03 · outbound
Classification of topological ladder models Altland and M
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7dd065f9-fcc0-4992-9601-227c3f5fd08f · outbound
Classification of topological ladder models Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c46ca1e8-8b87-4f0c-934d-56db244bfae5 · outbound
Classification of topological ladder models Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9d2237e0-7224-487f-b03d-eb842c2672c9 · outbound
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e45d8bfb-4619-45a2-8d68-c3e49747fedf · outbound
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1ac578d8-ad91-40ca-bc21-26f0ebba4ceb · outbound
Classification of topological ladder models Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8d7404cd-d976-4e40-86b4-bf5c51da111a · outbound
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a82b91a8-eb80-40bb-9e64-5ac1782c78d1 · outbound
Classification of topological ladder models Wilson, in New Phenomena in Subnuclear Physics , edited by A
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9a0236cd-ace9-48f7-8f42-6724e4089ef6 · outbound
Classification of topological ladder models Creutz and I
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fbcd0107-2f84-45c6-9378-6f25e8771538 · outbound
Classification of topological ladder models Creutz, Rev
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 30ccdd9d-0a00-4241-aedc-da276b18213c · inbound
Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders Classification of topological ladder models
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.