Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T00:16:41.973270Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 88 of 88 outbound references and 0 inbound Pith citation observations for arXiv:2608.01680.
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 2026-08-07T00:16:41.973270Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
88 of 88 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation bacf6db5-bab7-4eba-9a13-2d19b6ff9cb3 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices (B11) Figure 6(c) compares the tight-binding bands (black) with the continuum bands (gray) atγ= 0.5
Reference 1
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Observation fce78d63-2d6c-4a2c-8075-630f7ed050a0 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 2
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Observation a7afd1e5-2b1d-41cb-963a-1f7266c963e7 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices (B9) implies pairwise cancellation; hence,Pq s=1 φs ≡0 (modπ)
Reference 3
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Observation e6efa4ce-7e1c-46cb-b5dd-ba7ab5bb28e3 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices The real part of the potential is accordingly generalized to ˜V r(z) =V p cos (z+ϕ p) +V s cos (αz+ϕ s),(B21) withV p, Vs >0
Reference 4
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Observation 23f139b1-b89a-420e-94c5-286a75359f1f · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 5
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Observation ed6ed251-73a2-4aed-b3cb-9831a279119e · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices (B5) has fundamentally different consequences for odd and evenq
Reference 6
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Observation a20b6ee4-c1ad-42e8-964f-7c62c5b6d285 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Equiva- lently,⟨m,+|H|s c⟩= √ 2tm, whereas⟨m,−|H|s c⟩= 0
Reference 7
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Observation 923925b0-7cc5-4c8a-b74a-07c1aded62f0 · outbound
Reference 8
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Observation 44af9945-2d28-42c8-a341-35616eb1dd90 · outbound
Reference 9
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Observation 21c01735-4bee-4b12-8924-3f8cc133cc2c · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 10
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Reference 11
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Observation f1fe86e6-6b48-48c0-9608-1779438fff39 · outbound
Reference 12
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Observation 8abe67cf-88cb-4094-8864-36f0216f3232 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 13
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Observation 0a762610-6616-4f68-a0b5-5abe8d39cf11 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 14
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Observation 41a5594d-9ade-4acf-bdb1-e569e9fb35bb · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 15
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Observation 4c39143a-5588-424d-be81-ddd1b2284434 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 16
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Observation 186384c0-d9d0-4b94-a780-1177c4b250aa · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 17
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Reference 18
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Observation 7016197e-cdd1-4b5d-9719-3cb59ca425d0 · outbound
Reference 20
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Observation c6c44806-ce97-43a6-97dc-2576c0363078 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 21
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Observation 71255e51-03fd-4182-99b2-648106c701ca · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 22
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Observation c642ebdb-c4eb-49a4-81d0-e5c75fc144dc · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 23
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Observation 1b93347b-8f0e-441c-adbb-3f6a85b50420 · outbound
Reference 24
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Observation 61b1a913-d80b-4b74-95d8-abc6c8536724 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 25
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Observation 31a703e6-e7eb-446f-8d22-ceb9a8d7928d · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 26
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Reference 27
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Observation 4434e4f9-4cbc-48d6-845f-63df93efaf3c · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 28
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Reference 29
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Observation 346d1e09-7906-46f5-8a3a-ba6a883cfb30 · outbound
Reference 30
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Observation b12e08d2-fd6d-4d37-a8e8-0a4a0d3be3c1 · outbound
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Reference 34
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Observation bc7228ec-b136-47e2-977d-1a12cc7b8298 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 35
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Observation 3cc0c300-0b41-46d3-8177-80f9162b2c2e · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 36
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Observation 6dfa31fb-a2d4-43c5-86dd-98b97c7d7569 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 37
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Observation f52e1f96-70c1-419b-b534-5210e1fa816d · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 38
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Observation 58aaf1ff-24bd-4206-8bbe-773b3ca254d5 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 39
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Observation 9f400dcd-92a7-47a2-9adf-c58ce875675d · outbound
Reference 40
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Observation 50bd3cda-38ed-45c6-8a34-8d8db2b14f2a · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 41
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Reference 42
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Reference 43
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Observation 232c6b7b-c9bf-4069-ba25-a7cc308f3812 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 44
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Observation 0698556e-ebc2-4b6e-bca0-85b86532074d · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 45
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Observation a70ce2cb-fd99-4968-b0b8-3c377bd464a2 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 46
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Observation 511b0aed-7ee1-4b44-a77b-15c945a1d50e · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices In this work, we focus on the commensurate case, whereα= 1/q∈Q, with denominatorq≥1
Reference 47
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Observation 9df3b81b-6635-470f-bb00-56c1f574f32f · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 48
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Reference 49
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Reference 50
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Reference 51
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Observation 63db1525-3afe-4b75-9759-bfcf873f4d77 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 52
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Observation 5ff77ca3-d6f0-4505-bace-28a4cec4e76d · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 53
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Observation 90ca981b-8cff-4878-a504-e2d4ed6867ba · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 54
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Observation 8c32f880-d40d-4cbe-9430-ba3f3541842d · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 55
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Reference 56
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Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 57
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Reference 61
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Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 62
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Reference 63
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Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 64
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Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Imaginary-Stark Skin Effect
Reference 65
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Reference 66
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Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 67
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Reference 70
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Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 71
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Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 74
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Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
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Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 77
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Reference 80
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Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Peierls, Zeitschrift f¨ ur Physik80, 763 (1933)
Reference 81
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Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 82
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Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
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Observation 9fe3bfc0-4d94-4671-b111-209e0f1154b8 · outbound
Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Three-dimensional Coupled PT-symmetric Electronic Resonators
Reference 87
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Fate of moir\'e flat bands for a weakly repulsive Bose-Einstein condensate in one-dimensional $\mathcal{PT}$-symmetric bichromatic optical lattices Unresolved cited work
Reference 88
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