Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-03T13:22:42.100935Z
Paper Citation Record · LEDGER
As of 10 August 2026, this Paper Citation Record lists 100 of 262 outbound references and 3 inbound Pith citation observations for arXiv:2512.24981.
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 2026-08-03T13:22:42.100935Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T12:50:09.531102Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-06-29T12:23:24.733346Z
100 of 262 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 61bd8057-8bed-453a-bbd9-4bc7ab15a67a · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4792c19b-4d89-47b6-98df-d9246767322e · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8be858ed-a0e9-4b1c-89f2-d14b8ffdd65e · outbound
Lindbladian PT phase transitions Frontiers in Physics
Reference 3
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Unavailable: canonical work link unavailable.
Observation 62bb9ebd-0079-4a9e-beda-d06899da3e71 · outbound
Lindbladian PT phase transitions and Ortiz, G.:Elements of phase transitions and critical phenomena
Reference 4
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Observation 8b2b222f-7e28-495c-82a3-95b57150436e · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8120d2b-b31f-416d-858a-980578e87983 · outbound
Lindbladian PT phase transitions CRC press (2010)
Reference 6
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Observation bffcb257-3154-4753-b035-a969dce5d087 · outbound
Lindbladian PT phase transitions This state in the time crystal phase is known not to be captured by the mean-field approximation, even in the large-spin limit, as evidenced by inequality⟨S 2 α⟩,⟨S α⟩2 [162, 176]
Reference 7
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Observation e44e957f-3ae7-4043-aaed-f6cbf2091225 · outbound
Lindbladian PT phase transitions The central findings are distilled as follows: •Mean-field theory
Reference 8
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Observation 8aad26d5-ecdd-4169-b474-4372a64a4873 · outbound
Lindbladian PT phase transitions M., Giedke, G., Imamoglu, A., Yelin, S
Reference 9
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Observation ec1751f7-f094-4c4a-8192-f544cd03f3ca · outbound
Lindbladian PT phase transitions A., Horsch, P., and von der Linden, W.: Order Parameter in Quantum Antiferromagnets
Reference 10
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Observation 77600a4f-3f44-4ce8-bd8c-73da419c8f1d · outbound
Lindbladian PT phase transitions Cambridge University Press, Cambridge, 2nd edn
Reference 11
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Observation 6f76275b-af54-493d-9654-9d481551556b · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 12
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Observation 5dff3c81-ce7c-4b2e-ad55-856f9757f193 · outbound
Lindbladian PT phase transitions Cambridge University Press (2023)
Reference 13
Source-reported events for the cited work
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Observation 56fd671b-bd51-4c74-8395-4994e57f216f · outbound
Lindbladian PT phase transitions According to Ref
Reference 14
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Unavailable: canonical work link unavailable.
Observation f4f7739e-acdf-44d8-9d3d-2d42a9b107fd · outbound
Lindbladian PT phase transitions Otherwise, states of equal energy but opposite parity (ζ n ,ζ m) can destabilize the infinite- temperature state
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 03603782-737e-475f-a49d-e6beda113cf1 · outbound
Lindbladian PT phase transitions and Tasaki, H.: Symmetry breaking in Heisenberg antiferromagnets.Communications in Mathematical Physics158, 191–214 (1993)
Reference 16
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Observation 4331763d-e67a-4a6b-9c11-157bb6693e30 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e8c65802-824c-41f3-8214-6a3117b02b8a · outbound
Lindbladian PT phase transitions and Petruccione, F.:The theory of open quantum systems
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98b5a5d7-de09-4bba-a64c-78da409b0c24 · outbound
Lindbladian PT phase transitions and Huelga, S
Reference 19
Source-reported events for the cited work
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Observation 7c27548a-8b28-4614-b1fb-e8155c718081 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 20
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Unavailable: canonical work link unavailable.
Observation 17981dad-ee79-4476-9fc2-217e7def1003 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 693bc585-cda1-49b5-a89c-2e4c6010cad1 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1a94ad2-e842-45e1-8519-c435007af341 · outbound
Lindbladian PT phase transitions I., Miranowicz, A., and Nori, F.: Liouvillian spectral collapse in the Scully-Lamb laser model.Physical Review Research3, 043197 (2021)
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0bbe9a2c-c95f-4216-85b5-1144b87558e7 · outbound
Lindbladian PT phase transitions and Keeling, J.: Suppressing and Restoring the Dicke Superradiance Transition by Dephasing and Decay.Physical Review Letters 118, 123602 (2017)
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 92157e11-9fb6-4d6d-b824-40061d6f75d5 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 25
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Unavailable: canonical work link unavailable.
Observation b5f289b9-b779-4b23-8ecb-f03a5dbf77a2 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 26
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Unavailable: canonical work link unavailable.
Observation 15548a3f-0dae-4662-8c96-e1ef3b28e1fb · outbound
Lindbladian PT phase transitions Physical Review B107, 035113 (2023)
Reference 27
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Unavailable: canonical work link unavailable.
Observation c732d494-bb87-4a5b-b64b-d17280f78b3d · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 74330b52-f8bd-44ca-81d9-b31922c708db · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 29
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Observation c7b6ddd0-bf68-49dc-9a52-1dbf9db9be46 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 30
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Unavailable: canonical work link unavailable.
Observation 31a012cc-9284-4037-b075-835e9c456b6d · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 31
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Observation 7cc8d0e3-0c8b-49cb-8c81-2f21db8f03a0 · outbound
Lindbladian PT phase transitions M., Li, A
Reference 32
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Observation 176f7b28-67fc-4b2b-bc39-76481e1b7933 · outbound
Lindbladian PT phase transitions M., Dombi, A., Vukics, A., Wallraff, A., and Domokos, P.: Observation of the photon- blockade breakdown phase transition.Physical Review X7, 011012 (2017)
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f5956f12-9ad1-472a-a8c6-00ccf5a061ba · outbound
Lindbladian PT phase transitions D., Rahamim, J., Esposito, M., Mavrogordatos, T
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4aea328-4d35-4125-b13b-53bd0aadeea8 · outbound
Lindbladian PT phase transitions G., Marx, A., Deppe, F., and Gross, R.: Quantum Behavior of the Duffing Oscillator at the Dissipative Phase Transition.Nature Communications14, 2896 (2023)
Reference 35
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Observation 1a78961f-8ccd-4057-942c-8636f3975dc6 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 36
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Unavailable: canonical work link unavailable.
Observation 844bd24b-1e05-4059-8b6f-c1c17f9df733 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 572fbabd-f94d-4f1a-91ac-c87349abc4ad · outbound
Lindbladian PT phase transitions Nature Physics14, 365–369 (2018)
Reference 38
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Observation 21442006-65fe-41b0-ab20-7a7b6f9e1788 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 39
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Unavailable: canonical work link unavailable.
Observation 06f2f988-0584-4deb-95e5-cdb5ca2a32dd · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 40
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Observation 9695fe80-bf1f-4b35-992f-884038d370fe · outbound
Lindbladian PT phase transitions H., Kumar, R., Arnold, K
Reference 41
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Observation 27108ab9-e207-468f-908b-390dc83b7c03 · outbound
Lindbladian PT phase transitions Physical Review X11, 041046 (2021)
Reference 42
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Observation 64733fe0-a13b-4e69-a6e9-3e58389538b3 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 43
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Observation 0b8633b7-3953-4cb2-bb2c-067efb883a1d · outbound
Lindbladian PT phase transitions Y., Barberena, D., Young, D
Reference 44
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Unavailable: canonical work link unavailable.
Observation 18b77eac-9ffd-4e79-bedc-11fc3e042657 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ab5e1b2-3ff9-40b5-99c9-b947d73da3ab · outbound
Lindbladian PT phase transitions Journal of Mathematical Physics43, 205–214 (2002)
Reference 46
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Observation 53fea7a9-a1f0-4c8b-b6e6-bd5b72ec3af4 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22152331-ebaf-4a85-b2fb-c6d7245679f5 · outbound
Lindbladian PT phase transitions A complete characterization of non- Hermitian Hamiltonians with a real spectrum
Reference 48
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Unavailable: canonical work link unavailable.
Observation 1e8ff5c4-64e4-4621-a552-93c9abf136be · outbound
Lindbladian PT phase transitions Journal of Mathematical Physics43, 3944–3951 (2002)
Reference 49
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Unavailable: canonical work link unavailable.
Observation 5c875871-b3f3-465f-ac21-bbefdecd0381 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 773c098f-8d41-4936-aa30-a0f698a38b6b · outbound
Lindbladian PT phase transitions D.: The physics of exceptional points.Journal of Physics A: Mathematical and Theoretical45, 444016 (2012)
Reference 51
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Unavailable: canonical work link unavailable.
Observation 65a1f34c-5cf2-4096-ac46-cfd9fde405e2 · outbound
Lindbladian PT phase transitions E., Makris, K
Reference 52
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Unavailable: canonical work link unavailable.
Observation a5df59d1-9b78-4c8c-bd16-ea5767867a08 · outbound
Lindbladian PT phase transitions G., Khajavikhan, M., Musslimani, Z
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6cda9cfa-e087-4556-9219-3170529a67fa · outbound
Lindbladian PT phase transitions M., Berntson, B
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7b992559-30cc-40e5-b9b2-cec7185cc8c5 · outbound
Lindbladian PT phase transitions C., Ellis, F
Reference 55
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Unavailable: canonical work link unavailable.
Observation 3332e947-0711-4aa2-ab7c-6f04db90c362 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 56
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Unavailable: canonical work link unavailable.
Observation eef073fa-7f8d-4f56-b921-5961b4ddc645 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 57
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Observation 9fb86a21-6d07-4f36-ab16-56c8d33539d9 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 58
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Observation 1bc5e560-87e0-448c-b673-3cef97e1d958 · outbound
Lindbladian PT phase transitions Nature Communications8, 15791 (2017)
Reference 59
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Observation 185d6a10-9de3-48f9-8ca3-8f1603864a40 · outbound
Lindbladian PT phase transitions K., Liu, J., de Melo, L., Joglekar, Y
Reference 60
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Observation d6028161-1e09-4700-a10f-44d83003234e · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 61
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Observation 9c16d2cc-6328-476e-8252-4fe0a5ef3c96 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 62
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Observation f7832ab6-2c77-47a9-83a7-7d91e05f0cc2 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 63
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Observation e917302e-95d2-4c26-b0f2-1a53ea2f2194 · outbound
Lindbladian PT phase transitions and Sasamoto, T.: Dissipative time crystals originating from parity-time symmetry
Reference 64
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Observation 727591d6-6fcd-499c-b49c-7e31915b4b5d · outbound
Lindbladian PT phase transitions 55 arXiv:240609018(2024)
Reference 65
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Observation 862a00b4-45f9-4072-8d46-4f37ab661ac4 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 66
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Unavailable: canonical work link unavailable.
Observation e811b749-729b-4172-8aec-028bf8b80e78 · outbound
Lindbladian PT phase transitions and Sasamoto, T.:PTphase transition in open quantum systems with Lindblad dynamics.Physical Review A105, 022219 (2022)
Reference 67
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Observation b27644cb-7f7f-4c01-abea-c427a3bfa8c5 · outbound
Lindbladian PT phase transitions B., and Vitelli, V.: Non-reciprocal phase transitions
Reference 68
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Unavailable: canonical work link unavailable.
Observation d03ebf27-97d9-44c8-8c4d-d9c08065831d · outbound
Lindbladian PT phase transitions and Littlewood, P
Reference 69
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Observation 34b3af45-50f7-4a39-948a-3c074e01ce78 · outbound
Lindbladian PT phase transitions P., Daviet, R., Rosch, A., and Diehl, S.: Universal phenomenology at critical exceptional points of nonequilibrium O (N) models.Physical Review X14, 021052 (2024)
Reference 70
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Unavailable: canonical work link unavailable.
Observation 42a87a96-fd81-4268-89d9-ea3d86684ab9 · outbound
Lindbladian PT phase transitions A.: Irreversible mesoscale fluctuations herald the emergence of dynamical phases.Physical Review Letters131, 258302 (2023)
Reference 71
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Observation 7e52a475-bad1-428d-b80b-12ffef2ac02c · outbound
Lindbladian PT phase transitions B., and Clerk, A
Reference 72
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Observation 8105ea71-3423-40f3-b95f-b8e95e43325a · outbound
Lindbladian PT phase transitions and Littlewood, P
Reference 73
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e55047a7-b0f3-4c23-ba11-dc127b4edf7c · outbound
Lindbladian PT phase transitions B.: Universal scaling in one-dimensional non- reciprocal matter.arXiv:250314384(2025)
Reference 74
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 29b2bb9c-3dfa-4ca9-baa7-a681afec10b4 · outbound
Lindbladian PT phase transitions B., and Vitelli, V.: Generalized exceptional points in nonlinear and stochastic dynamics.Physical Review Research7, 043157 (2025)
Reference 75
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Unavailable: canonical work link unavailable.
Observation f4607a1c-e765-44ed-8191-a217e9ace1b7 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 76
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e26184c1-e1cc-43e4-9abc-c31e46e1eb5f · outbound
Lindbladian PT phase transitions B.: Non-Hermitian phase transition from a polariton Bose-Einstein condensate to a photon laser.Physical Review Letters122, 185301 (2019)
Reference 77
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4fb23fc-4834-4755-8672-b49fe203350b · outbound
Lindbladian PT phase transitions C.: Nonreciprocity as a generic route to traveling states.Proceedings of the National Academy of Sciences117, 19767–19772 (2020)
Reference 78
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Unavailable: canonical work link unavailable.
Observation c275ef41-0b36-46f9-866c-dec10b3dc082 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 79
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5f01308-4df8-4c83-9861-96b95a10fba9 · outbound
Lindbladian PT phase transitions A.: Entropy production in the nonreciprocal Cahn-Hilliard model.Physical Review E108, 064610 (2023)
Reference 80
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c49e7645-7799-4a72-a38c-648523a23d3e · outbound
Lindbladian PT phase transitions E., Chan, C.-K., and Yelin, S
Reference 81
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a68a296d-e680-4ab8-a4f2-6645b2b89455 · outbound
Lindbladian PT phase transitions and Larson, J.: Dissipation- driven quantum phase transitions and symmetry breaking.Physical Review A98, 042113 (2018)
Reference 82
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f68f61b0-099b-4dc0-892f-bf67e4096aa1 · outbound
Lindbladian PT phase transitions C., dos Prazeres, L
Reference 83
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f887079-9056-47f2-969f-f3ebecd2b4f8 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 84
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Unavailable: canonical work link unavailable.
Observation d73ee754-231b-425b-9926-0af70df67e93 · outbound
Lindbladian PT phase transitions G., Bayat, A., and Paris, M
Reference 85
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Observation 4af5559b-372b-40bc-bb77-c6b532299251 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 86
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Observation 8ee993a5-efd0-4caf-8431-900cd7c9af61 · outbound
Lindbladian PT phase transitions K., Kartashov, Y
Reference 87
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Observation 12240d39-c30a-4bbf-880b-f98e4ad2264b · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 88
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Observation ed808b72-04e8-4ec9-b04d-5f7d10726da1 · outbound
Lindbladian PT phase transitions K., Miri, M.-A., Musslimani, Z
Reference 89
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f4940b44-223b-44ff-bd3d-1132c4e3e446 · outbound
Lindbladian PT phase transitions Physical Review A85, 023822 (2012)
Reference 90
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Unavailable: canonical work link unavailable.
Observation d7edd9a1-e6c5-47e2-959f-988d73de5fc9 · outbound
Lindbladian PT phase transitions Unresolved cited work
Reference 91
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a5b42845-47c4-44f7-aff1-0969dbde16cc · outbound
Lindbladian PT phase transitions A.: Discrete solitons and vortices on two- dimensional lattices of PT-symmetric couplers
Reference 92
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ad9ef315-4d9d-4676-b65f-862fa10b98f7 · outbound
Lindbladian PT phase transitions E., Malomed, B
Reference 93
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c93006e4-e2d2-45e0-b1e4-622a7011bcd2 · outbound
Lindbladian PT phase transitions N.: Unidirectional nonlinear PT-symmetric optical structures.Physical Review A82, 043803 (2010)
Reference 94
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fbd0c0e3-1af7-4a2d-9852-f0501b74a88c · outbound
Lindbladian PT phase transitions N.: Unidirectional invisibility induced by PT- symmetric periodic structures.Physical Review Letters106, 213901 (2011)
Reference 95
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 442301fa-2f1e-4caf-86fe-ef5e60453a36 · outbound
Lindbladian PT phase transitions and El-Ganainy, R.: Nonlinear modal interactions in parity-time (PT) symmetric lasers
Reference 96
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8874fc2c-7f2f-499f-b0d1-1117fbb349c8 · outbound
Lindbladian PT phase transitions G., and Chen, Z.: Nonlinear tuning of PT symmetry and non- Hermitian topological states.Science372, 72–76 (2021)
Reference 97
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Unavailable: canonical work link unavailable.
Observation 6d1b2731-ef37-427c-a04c-3006b6eb78f1 · outbound
Lindbladian PT phase transitions Physical Review Letters114, 253601 (2015)
Reference 98
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c1e4cf13-ab0a-4b50-8479-299837a5b8ec · outbound
Lindbladian PT phase transitions M., Boettcher, S., and Meisinger, P
Reference 99
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f45305b-8a1d-4276-bfb8-646d4c0052ae · outbound
Lindbladian PT phase transitions M.: Introduction to PT-symmetric quantum theory.Contemporary Physics46, 277– 292 (2005)
Reference 100
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Observation 5f7a6b86-f143-4cf7-97cd-55c9c1f50ed6 · inbound
Renormalization of Quantum Operations: Parity-Time Transition and Chaotic Flows Lindbladian PT phase transitions
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4d8457d2-01bb-4e74-a1ba-9a9546028909 · inbound
Quantum Spin Squeezing Enhanced by Critical Exceptional Points Lindbladian PT phase transitions
Reference 30
Source-reported events for the cited work
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Observation 7e1f59a1-8c87-4ca6-9cf8-ee56b66782a6 · inbound
Reference 2061
Source-reported events for the cited work
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