Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-03T03:55:00.760459Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 100 of 141 outbound references and 2 inbound Pith citation observations for arXiv:2602.06657.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: paper_references, paper_reference_links, observed 2026-08-03T03:55:00.760459Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-20T23:13:22.946733Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-20T23:13:50.396258Z
100 of 141 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 6e73105e-5ecf-4143-bd2d-2791414d093b · outbound
Second law of thermodynamics in closed quantum many-body systems We divide the proof of this proposition into two parts: proof for the necessity and sufficiency of Eq
Reference 1
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Observation a87ede02-fb6c-424f-a0b2-f17d50bdc389 · outbound
Second law of thermodynamics in closed quantum many-body systems Proposition 10 (Infinite temperature iMATE without random variables)
Reference 2
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Observation b8c4ebfa-da9f-415e-8d6a-58dc17227cf4 · outbound
Second law of thermodynamics in closed quantum many-body systems Importantly, it contains no random variables in contrast to METTS
Reference 3
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Observation a9a3f716-a6a3-4421-a37f-e37d5c59f9de · outbound
Second law of thermodynamics in closed quantum many-body systems Let (ρL)L∈N represent a macroscopic state
Reference 4
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Observation 19444b03-6562-4f28-b3da-65cae0922d06 · outbound
Second law of thermodynamics in closed quantum many-body systems A CPTP map U (•) on the total Hilbert space is said to be unital when it satisfies U (IΛL ) = IΛL , (E16) where IΛL is the identity operator on the total Hilbert space
Reference 5
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Observation 843a89bd-ba8e-4059-9289-cdb2eaaa41bd · outbound
Second law of thermodynamics in closed quantum many-body systems (72) which is used in the proof of Theorem 2 Proof
Reference 6
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Observation 0be3442f-de71-4545-a448-51629b734353 · outbound
Second law of thermodynamics in closed quantum many-body systems We introduce UL(•) := lim T →∞ 1 T Z T 0 dt e−iH1tU (t∗, 0) • U †(t∗, 0)eiH1t, (E39) which is a unital CPTP map
Reference 7
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Observation b7647787-3f52-4b01-882f-7d2c90a66fc0 · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 8
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Observation ac8c68d2-764f-424b-b2e5-6a74d09d34b4 · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 9
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Observation 85f95780-b3d7-4ad4-8fa5-37fc1996814a · outbound
Second law of thermodynamics in closed quantum many-body systems iMATE + macroscopic operations
Reference 10
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Observation fbe7107e-ae1f-48f4-9a75-399460cff00d · outbound
Second law of thermodynamics in closed quantum many-body systems MITE + local control
Reference 11
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Observation c875a277-a040-41a8-a11e-020122f95584 · outbound
Second law of thermodynamics in closed quantum many-body systems Since we can obtain a d-dimensional system by bundling Ld−1 copies of a one-dimensional system, it suffices to provide an example for the case of d = 1
Reference 12
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Observation 3eb33b62-ff6e-486c-b139-ff2618d9ac1e · outbound
Second law of thermodynamics in closed quantum many-body systems The basic strategy is almost the same as that of Proposition 5
Reference 13
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Observation ff47974c-e5e2-4cc6-9a69-ee1380890a97 · outbound
Second law of thermodynamics in closed quantum many-body systems Kittel and H
Reference 14
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Observation 60c1c8cc-a42a-4b3e-9d17-27756bc2c7e4 · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 15
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Observation 6be985ec-d7a8-4a3c-9d32-a70738220af8 · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 16
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Observation 751d6fa3-a5d1-4001-a318-880757244919 · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 17
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Observation a8bad8c9-e246-4aef-bee3-f1cf9a48e78d · outbound
Second law of thermodynamics in closed quantum many-body systems Pusz and S
Reference 18
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Observation 56e64bef-1aa9-4038-9869-e97296859617 · outbound
Second law of thermodynamics in closed quantum many-body systems Lenard, Thermodynamical proof of the Gibbs for- mula for elementary quantum systems, J
Reference 19
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Observation 6672c655-c5ff-42bf-b020-82406b2dffe9 · outbound
Second law of thermodynamics in closed quantum many-body systems Gorecki and W
Reference 20
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Observation da6ff4a8-1d00-4516-b7ad-c518b3b1a6b0 · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 21
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Observation e415b232-a2cd-4da6-b802-cb62b50e0482 · outbound
Second law of thermodynamics in closed quantum many-body systems Tasaki, The second law of Thermodynamics as a the- orem in quantum mechanics (2000)
Reference 22
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Observation af00113f-6ec0-44b3-ac99-90230800c0df · outbound
Second law of thermodynamics in closed quantum many-body systems Work extractability from energy eigenstates under optimized local operations
Reference 23
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Observation 0b3bb10f-d6ef-4483-9aeb-043f506bf56d · outbound
Second law of thermodynamics in closed quantum many-body systems Brand˜ aoa, M
Reference 24
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Observation 70b79509-a4f7-44cf-b6f6-855d5e9054a1 · outbound
Second law of thermodynamics in closed quantum many-body systems Tasaki, Statistical mechanical derivation of the second law of thermodynamics (2000), arXiv:cond- mat/0009206 [cond-mat.stat-mech]
Reference 25
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Observation fa69991e-f584-4c54-bc81-59957f9afca8 · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 26
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Observation 36895985-0a50-422f-a563-48b49b80ff91 · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 27
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Observation 5e5d4910-264a-4084-902a-dcdaa3c7d5bd · outbound
Second law of thermodynamics in closed quantum many-body systems Tasaki, Quantum Statistical Mechanical Derivation of the Second Law of Thermodynamics: A Hybrid Set- ting Approach, Phys
Reference 28
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Observation e4d9403c-5799-4dbe-a806-3764c45f7cdb · outbound
Second law of thermodynamics in closed quantum many-body systems Kaneko, E
Reference 29
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Observation c980ce5e-c89d-4c2d-87d8-4edd83cb763f · outbound
Second law of thermodynamics in closed quantum many-body systems Hokkyo and M
Reference 30
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Observation b2664350-41eb-4228-bdc5-cf4ff887f3f9 · outbound
Second law of thermodynamics in closed quantum many-body systems Meier, T
Reference 31
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Observation 1adecab0-a3d8-4907-aca8-a4e233894422 · outbound
Second law of thermodynamics in closed quantum many-body systems von Neumann, Beweis des ergodensatzes und des H- theorems in der neuen mechanik, Z
Reference 32
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Observation a907daa4-87ba-4022-b462-e3c09030501c · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 33
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Observation a5e8665c-09df-42c3-a159-934d0683bcec · outbound
Second law of thermodynamics in closed quantum many-body systems Srednicki, Chaos and quantum thermalization, Phys
Reference 34
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Observation 1934bf05-ff76-47cc-a4d8-d2da46d18f64 · outbound
Second law of thermodynamics in closed quantum many-body systems Rigol, V
Reference 35
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Observation 22603f18-3a1f-44f1-9450-eab01b8948be · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 36
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Observation 9f2575ee-f051-4714-b11d-f21f42d91107 · outbound
Second law of thermodynamics in closed quantum many-body systems Beugeling, R
Reference 37
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Observation ae3d0886-4a71-4e46-8cf1-7a41dcc2dc95 · outbound
Second law of thermodynamics in closed quantum many-body systems Biroli, C
Reference 38
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Observation 9addc354-952e-401b-9a35-81f9c26333fe · outbound
Second law of thermodynamics in closed quantum many-body systems Weak eigenstate thermalization with large deviation bound
Reference 39
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Observation 48febce1-7eb3-47d0-8ba0-2f61702ffec3 · outbound
Second law of thermodynamics in closed quantum many-body systems Iyoda, K
Reference 40
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Observation 9f049515-b4a7-4d6a-a2aa-c51e776b9b16 · outbound
Second law of thermodynamics in closed quantum many-body systems Srednicki, Thermal fluctuations in quantized chaotic systems, J
Reference 41
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Observation 3be38760-7239-4bf7-8c16-901510b3c39d · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 42
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Observation 93c69d83-e324-4351-8009-4a47a4dcf70c · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 43
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Observation 0eef9fd3-a11e-4428-8e53-5542bbcb763d · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 44
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Observation b7faf562-07a2-45d2-96d8-d5790ddb3c7a · outbound
Second law of thermodynamics in closed quantum many-body systems Tasaki, From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example, Phys
Reference 45
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Observation 5d1d0b3c-094a-431d-aba2-1065cc4e7aef · outbound
Second law of thermodynamics in closed quantum many-body systems Reimann, Foundation of Statistical Mechanics under Experimentally Realistic Conditions, Phys
Reference 46
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Observation fd37f205-72a5-4812-8132-e1e354efc95e · outbound
Second law of thermodynamics in closed quantum many-body systems Linden, S
Reference 47
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Observation 418634e0-38a7-4924-ac18-49c18b5982a1 · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 48
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Observation d58067a4-71f5-41ad-b499-951bd1177f87 · outbound
Second law of thermodynamics in closed quantum many-body systems Reimann and M
Reference 49
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Observation 9de60a16-35be-42a7-a50f-6c16d483eeae · outbound
Second law of thermodynamics in closed quantum many-body systems Farrelly, F
Reference 50
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Observation 8b8cb898-5b84-44ad-b89c-95c39974ad76 · outbound
Second law of thermodynamics in closed quantum many-body systems Eisert, M
Reference 51
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Observation 505681fd-bbea-4a57-a310-07a5106fa038 · outbound
Second law of thermodynamics in closed quantum many-body systems D’Alessio, Y
Reference 52
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Observation 4264ab38-fa06-438f-aee9-cf3affe85b1c · outbound
Second law of thermodynamics in closed quantum many-body systems Gogolin and J
Reference 53
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Observation 81638764-9e1e-4e5d-be01-84daafd87530 · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 54
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Observation d1ecea56-1236-40fc-bd08-93e1b7145775 · outbound
Second law of thermodynamics in closed quantum many-body systems Kinoshita, T
Reference 55
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Observation e94fa041-afe6-486f-bb2c-badea0ea3262 · outbound
Second law of thermodynamics in closed quantum many-body systems Gring, M
Reference 56
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Observation d164a59e-b8ab-465a-a4f8-81ccac2f23ab · outbound
Second law of thermodynamics in closed quantum many-body systems Trotzky, Y
Reference 57
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Observation 2e057f31-e86b-44ca-a74b-0d065a542b1c · outbound
Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 58
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Observation aae14a45-9a14-4b27-b3f4-6e87e72d99a0 · outbound
Second law of thermodynamics in closed quantum many-body systems Goldstein, D
Reference 59
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Observation c04b1c59-8ecb-4c5f-9197-7f8ddad6953f · outbound
Second law of thermodynamics in closed quantum many-body systems Tasaki, Typicality of Thermal Equilibrium and Ther- malization in Isolated Macroscopic Quantum Systems, J
Reference 60
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Second law of thermodynamics in closed quantum many-body systems Goldstein, D
Reference 61
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Observation 758741c6-7fdd-4915-babf-44e2244a3e42 · outbound
Second law of thermodynamics in closed quantum many-body systems Goldstein, J
Reference 62
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Second law of thermodynamics in closed quantum many-body systems Popescu, A
Reference 63
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Observation 660358e9-a95f-487e-9380-a0ca24a88cb3 · outbound
Second law of thermodynamics in closed quantum many-body systems Sugita, On the foundation of quantum statistical mechanics (in Japanese), RIMS Kokyuroku 1507, 147 (2006)
Reference 64
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Observation b868076e-c323-40dc-a923-f7b0044034b5 · outbound
Second law of thermodynamics in closed quantum many-body systems Reimann, Typicality for generalized microcanonical ensemble, Phys
Reference 65
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Second law of thermodynamics in closed quantum many-body systems Sugiura and A
Reference 66
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Second law of thermodynamics in closed quantum many-body systems Sugiura and A
Reference 67
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Second law of thermodynamics in closed quantum many-body systems Rigol, V
Reference 68
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Second law of thermodynamics in closed quantum many-body systems Sotiriadis and P
Reference 69
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Second law of thermodynamics in closed quantum many-body systems Wouters, J
Reference 70
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Second law of thermodynamics in closed quantum many-body systems Pozsgay, M
Reference 71
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Second law of thermodynamics in closed quantum many-body systems Ilievski, M
Reference 72
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Second law of thermodynamics in closed quantum many-body systems Mierzejewski, P
Reference 73
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Second law of thermodynamics in closed quantum many-body systems Ilievski, J
Reference 74
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Second law of thermodynamics in closed quantum many-body systems Ilievski, M
Reference 75
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Observation 12fa4645-4c62-4f3c-9209-6e3d8e77feaf · outbound
Second law of thermodynamics in closed quantum many-body systems Doyon, Thermalization and pseudolocality in ex- tended quantum systems, Commun
Reference 76
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Observation 316079bb-a7d8-48ab-8308-9b961caf7a5b · outbound
Second law of thermodynamics in closed quantum many-body systems Kuwahara and K
Reference 77
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Observation 680d7f82-7a69-48ee-af12-6cf4f4dcf284 · outbound
Second law of thermodynamics in closed quantum many-body systems Reimann, Generalization of von Neumann’s Ap- proach to Thermalization, Phys
Reference 78
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Observation 00d367d2-cea6-429c-b3fa-2bd4246b7a8d · outbound
Second law of thermodynamics in closed quantum many-body systems Sugimoto, R
Reference 79
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Observation 575e2217-d480-4238-a4b7-8593825a6fad · outbound
Second law of thermodynamics in closed quantum many-body systems Sugimoto, R
Reference 80
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Observation 5e9e021a-5d90-4a7b-91b6-11ce3a655193 · outbound
Second law of thermodynamics in closed quantum many-body systems Bounds on eigenstate thermalization
Reference 81
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Observation 6c2ba5f2-4a5f-45f6-95c1-9f19910ea5db · outbound
Second law of thermodynamics in closed quantum many-body systems Serbyn, A
Reference 82
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Observation b978d320-97d7-48a0-a7c4-3abccc71dba4 · outbound
Second law of thermodynamics in closed quantum many-body systems They showed ∆S − βQ ≥ 0, a form of the second law for isothermal operations, in a system attached to a heat reservoir
Reference 83
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Observation e99ef1cf-c279-4af7-9401-7980a48af843 · outbound
Second law of thermodynamics in closed quantum many-body systems Letf and g be real functions, and let g(x) be strictly positive for all large enough values of x
Reference 84
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Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 85
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Reference 86
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Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 87
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Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 88
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Observation b28d268b-66b8-472e-9549-f8dbbba11b7d · outbound
Second law of thermodynamics in closed quantum many-body systems That is, we exclude genuine thermodynamic quantities such as the free energy
Reference 89
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Observation a61b052c-339b-46ae-930b-08a492ed6c72 · outbound
Second law of thermodynamics in closed quantum many-body systems Ruelle, Statistical Mechanics: Rigorous Results (Im- perial College Press and World Scientific Publishing, London, 1999)
Reference 90
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Second law of thermodynamics in closed quantum many-body systems Tasaki, On the local equivalence between the canoni- cal and the microcanonical ensembles for quantum spin systems, J
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Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 92
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Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 94
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Second law of thermodynamics in closed quantum many-body systems Kusuki, K
Reference 95
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Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 96
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Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
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Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
Reference 98
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Second law of thermodynamics in closed quantum many-body systems Unresolved cited work
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Observation b7c8909f-0bf2-4beb-89a0-69e84383f0f2 · outbound
Second law of thermodynamics in closed quantum many-body systems Gong and R
Reference 100
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Observation 5cd5a8f6-3c09-4fcc-ad8f-1507681c95ec · inbound
Clifford Ergotropy Second law of thermodynamics in closed quantum many-body systems
Reference 53
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Observation 9b3714d6-0162-49b7-846b-6ef7f24d9ed1 · inbound
Clifford Ergotropy Second law of thermodynamics in closed quantum many-body systems
Reference 58
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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.