Paper Citation Record · LEDGER

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System

As of 21 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2607.06215.

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pith.paper-citation-record.v1
2607.06215 v1

Coverage vector

measured 39 of 39 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-08T13:18:22.765142Z

measured 39 of 39 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

39 of 39 outbound references displayed

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External citation measurements

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Outbound references

Observation 63b0d361-deb0-4ee3-9730-639ad2c6f16c · outbound

This paper cites Braunstein and Carlton M.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Braunstein and Carlton M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.545627Z

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Observation 7b5b3442-ae7b-4f83-be09-3419a44ec23f · outbound

This paper cites an unresolved cited work.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-07-08T13:24:54.547244Z

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Observation d827589c-8ef4-491b-9ca2-83d8b392b72d · outbound

This paper cites Quantum-enhanced measurements: Beating the stan- dard quantum limit.Science, 306(5700):1330–1336.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Quantum-enhanced measurements: Beating the stan- dard quantum limit.Science, 306(5700):1330–1336

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.507838Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a6342fe0-38d5-4c25-99df-28051e4431e6 · outbound

This paper cites Advances in quantum metrology.Nature Photonics, 5(4):222–229, 2011.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Advances in quantum metrology.Nature Photonics, 5(4):222–229, 2011

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.526996Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 16642149-9733-49b8-889d-30c24585bc1a · outbound

This paper cites Quantum limits in optical interferometry.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Quantum limits in optical interferometry

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.502425Z

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Observation 580e32de-8bdf-4501-b1bf-7f336e6ba9d0 · outbound

This paper cites an unresolved cited work.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-07-08T13:24:54.485410Z

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Observation dc5839c3-f339-4c9a-b890-0c948dc85c1c · outbound

This paper cites Alipour, M.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Alipour, M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.495629Z

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Observation 2a105c36-6e50-4d4d-8675-c5d366b486f1 · outbound

This paper cites Wolf, and J.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Wolf, and J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.536238Z

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Observation e49be368-6811-43be-b7f3-47d7f2d758ae · outbound

This paper cites Diehl, A.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Diehl, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.528625Z

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Observation bb416276-a520-4041-b82a-36deaaf344d9 · outbound

This paper cites an unresolved cited work.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-07-08T13:24:54.541886Z

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Observation 3a52a350-9e41-48ef-a1a4-df1e7fc016e2 · outbound

This paper cites Oberthaler, Ro- man Schmied, and Philipp Treutlein.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Oberthaler, Ro- man Schmied, and Philipp Treutlein

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.504157Z

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Observation 91577cbb-5cd4-4fb3-a251-bcac73ad27f6 · outbound

This paper cites Fidelity approach to quantum phase tran- sitions.International Journal of Modern Physics B, 24(23):4371–4458, 2010.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Fidelity approach to quantum phase tran- sitions.International Journal of Modern Physics B, 24(23):4371–4458, 2010

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.505977Z

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Observation a25cf48e-770c-4ed5-bfb1-104759ca4f61 · outbound

This paper cites Spectral theory of liouvillians for dissipa- tive phase transitions.Physical Review A, 98(4):042118, 2018.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Spectral theory of liouvillians for dissipa- tive phase transitions.Physical Review A, 98(4):042118, 2018

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.532524Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bcf915be-be75-4a20-83cd-af5186a1a774 · outbound

This paper cites an unresolved cited work.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-07-08T13:24:54.530591Z

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Observation 9d992dbe-c20a-4bb6-a0d8-7d821f0eaa79 · outbound

This paper cites Quantum fisher information as a signature of the superradiant quantum phase transition.New Journal of Physics, 16(6):063039, 2014.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Quantum fisher information as a signature of the superradiant quantum phase transition.New Journal of Physics, 16(6):063039, 2014

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.521211Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b50c8b48-35df-4a07-925d-68bf4fc4f283 · outbound

This paper cites Critical behavior of quantum fisher information in finite- size open dicke model.AIP Advances, 12(5):055118, 2022.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Critical behavior of quantum fisher information in finite- size open dicke model.AIP Advances, 12(5):055118, 2022

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.523381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation eee31636-6465-4da3-9efc-058a3b3c9e94 · outbound

This paper cites Expo- nential size scaling of the liouvillian gap in boundary- dissipated systems with anderson localization.Physical Review B, 106(6):064203, 2022.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Expo- nential size scaling of the liouvillian gap in boundary- dissipated systems with anderson localization.Physical Review B, 106(6):064203, 2022

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.540183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 58c99680-af59-425a-ba0b-06566de6ded1 · outbound

This paper cites Critical slowing down in driven-dissipative bose-hubbard lattices.Physical Re- view A, 97(1):013853, 2018.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Critical slowing down in driven-dissipative bose-hubbard lattices.Physical Re- view A, 97(1):013853, 2018

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.519047Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 47b8ec5c-93a3-4dbc-978b-6e749bf49b60 · outbound

This paper cites Geometry of quantum phase transitions.Physics Reports, 838:1–72, 2020.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Geometry of quantum phase transitions.Physics Reports, 838:1–72, 2020

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.493887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b0693cdc-06e2-49d5-b334-74c26f146528 · outbound

This paper cites Fisher information of a nonequilibrium anharmonic donor-acceptor rectifier.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Fisher information of a nonequilibrium anharmonic donor-acceptor rectifier

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.479712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a0f20e8e-b610-4a21-aa93-cd51e380c9f7 · outbound

This paper cites Opti- mal time for sensing in open quantum systems.Physical Review A, 108(2):022413, 2023.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Opti- mal time for sensing in open quantum systems.Physical Review A, 108(2):022413, 2023

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.543890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ad8ca067-8cb4-484a-a185-b1be2a94ee09 · outbound

This paper cites Resolving a dis- crepancy between liouvillian gap and relaxation time in boundary-dissipated quantum many-body systems.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Resolving a dis- crepancy between liouvillian gap and relaxation time in boundary-dissipated quantum many-body systems

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.483828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1b5a7e0b-f49d-4293-aa12-be0e742c33f3 · outbound

This paper cites Liouvillian skin effect: Slowing down of relaxation processes without gap closing.Physical Review Letters, 127(7):070402, 2021.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Liouvillian skin effect: Slowing down of relaxation processes without gap closing.Physical Review Letters, 127(7):070402, 2021

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.500683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 93273aca-1f96-4881-b461-fdc70fef776b · outbound

This paper cites Symmetrized liouvil- lian gap in markovian open quantum systems.Physical Review Letters, 130(23):230404, 2023.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Symmetrized liouvil- lian gap in markovian open quantum systems.Physical Review Letters, 130(23):230404, 2023

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.525222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4c5a8256-1427-4d4a-b267-c76aa4a365d4 · outbound

This paper cites Dissipative quantum fisher information for a gen- eral liouvillian parametrized process.Physical Review A, 109(1):012432, 2024.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Dissipative quantum fisher information for a gen- eral liouvillian parametrized process.Physical Review A, 109(1):012432, 2024

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.515422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c55e2aca-9c5e-4a12-96ca-a471d5abc559 · outbound

This paper cites Metrol- ogy of open quantum systems from emitted radiation,.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Metrol- ogy of open quantum systems from emitted radiation,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.482017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3c9bf224-728d-409e-a431-63b834874a4e · outbound

This paper cites Metrology of open quantum systems from emitted radiation.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Metrology of open quantum systems from emitted radiation

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-07-08T13:24:54.367280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9fa01f89-5e17-4979-b3fc-509c7ffc1f4d · outbound

This paper cites Scully, M.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Scully, M

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.534263Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 78613800-3a2e-43a1-a4bf-2ee0c417e1f3 · outbound

This paper cites Dorfman, Dmitri V.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Dorfman, Dmitri V

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.486994Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 52fcec94-7d88-4464-b757-52ac73203123 · outbound

This paper cites Equivalence of quantum heat machines, and quantum- thermodynamic signatures.Physical Review X, 5(3):031044, 2015.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Equivalence of quantum heat machines, and quantum- thermodynamic signatures.Physical Review X, 5(3):031044, 2015

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.517186Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fe482712-5374-41a7-8109-3b63f4c2e0c5 · outbound

This paper cites Scully, Kimberly R.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Scully, Kimberly R

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.497301Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0dbacd6c-40c7-429a-a761-450317bb50f4 · outbound

This paper cites Dorfman, Dazhi Xu, and Jianshu Cao.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Dorfman, Dazhi Xu, and Jianshu Cao

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.492111Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2a8b0831-6113-4879-b628-adeae080e030 · outbound

This paper cites Noise-induced coherent ergotropy of a quantum heat en- gine.Physical Review A, 110(3):032213, 2024.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Noise-induced coherent ergotropy of a quantum heat en- gine.Physical Review A, 110(3):032213, 2024

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.488725Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8af9e8d3-b0d2-4196-adba-3d4cb00af678 · outbound

This paper cites Camati, Jonas F.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Camati, Jonas F

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.498828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 331d9b3d-7469-49c5-80bd-a87ccb694483 · outbound

This paper cites Effects of noise- induced coherence on the performance of quantum ab- sorption refrigerators.Journal of Low Temperature Physics, 192(3):147–168, 2018.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Effects of noise- induced coherence on the performance of quantum ab- sorption refrigerators.Journal of Low Temperature Physics, 192(3):147–168, 2018

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.513508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ddaaa74f-71e5-48d2-9e2d-3baa6f9f87f9 · outbound

This paper cites Efficient biologically inspired photocell enhanced by delocalized quantum states.Physical review letters, 111(25):253601, 2013.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Efficient biologically inspired photocell enhanced by delocalized quantum states.Physical review letters, 111(25):253601, 2013

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.538353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0d1b0132-3c44-47d0-a396-7e4e6926283b · outbound

This paper cites Effects of noise- induced coherence on the fluctuations of current in quan- tum absorption refrigerators.The Journal of chemical physics, 151(4), 2019.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Effects of noise- induced coherence on the fluctuations of current in quan- tum absorption refrigerators.The Journal of chemical physics, 151(4), 2019

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.509683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b066a255-7e4e-4788-bc77-5a5104d77265 · outbound

This paper cites Thermodynamics of quantum heat engines.Physical Re- view A, 88(1):013842, 2013.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Thermodynamics of quantum heat engines.Physical Re- view A, 88(1):013842, 2013

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.511617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2d0e4f37-a38a-4988-9222-b2eb1249f4ac · outbound

This paper cites Efficiency fluctuations of a heat engine with noise- induced quantum coherences.Physical Review A, 110(5):052214, 2024.

Coherence Estimation Beyond the Liouvillian Gap in a Finite Nonequilibrium System Efficiency fluctuations of a heat engine with noise- induced quantum coherences.Physical Review A, 110(5):052214, 2024

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-07-08T13:24:54.490484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

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