Spectral analysis of equilibration: information leakage in isolated quantum systems | Paper Citation Record

Observation 66e6811b-3200-454f-8897-371fb52e098b · outbound

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Spectral analysis of equilibration: information leakage in isolated quantum systems (33) Hamiltonian Unbiased Observables (HUOs) are oper- atorsO= ∑α oα |φα⟩ ⟨φα| whose eigenstates form a HUB

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Spectral analysis of equilibration: information leakage in isolated quantum systems Boltzmann, Weitere studien über das wärmegle- ichgewicht unter gasmolekülen, inKinetische Theorie II: Ir- reversible Prozesse Einführung und Originaltexte(Springer,

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Spectral analysis of equilibration: information leakage in isolated quantum systems Ehrenfest and T

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Spectral analysis of equilibration: information leakage in isolated quantum systems Zwanzig, Memory effects in irreversible thermody- namics, Physical Review124, 983 (1961)

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Spectral analysis of equilibration: information leakage in isolated quantum systems Zwanzig, The concept of irreversibility in statistical mechanics, Pure and Applied Chemistry22, 371 (1970)

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Spectral analysis of equilibration: information leakage in isolated quantum systems Mori, Transport, collective motion, and brownian mo- tion, Progress of theoretical physics33, 423 (1965)

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Spectral analysis of equilibration: information leakage in isolated quantum systems Reimann, Foundation of statistical mechanics under experimentally realistic conditions, Phys

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Observation 6998aa51-864b-4f10-a9b4-3ba46a1b17d9 · outbound

This paper cites Linden, S.

Spectral analysis of equilibration: information leakage in isolated quantum systems Linden, S

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Observation 42b8e8fe-dd6e-45f2-abac-fdb17a48e31b · outbound

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Spectral analysis of equilibration: information leakage in isolated quantum systems Reimann, Canonical thermalization, New Journal of Physics12, 055027 (2010)

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Observation 32cf555d-cc77-464d-8c6a-08634b136a60 · outbound

This paper cites Reimann and M.

Spectral analysis of equilibration: information leakage in isolated quantum systems Reimann and M

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Observation 7946e294-609c-4bff-903f-e87c088901ed · outbound

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Spectral analysis of equilibration: information leakage in isolated quantum systems Meier, T

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Spectral analysis of equilibration: information leakage in isolated quantum systems Schwarzhans, F

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Spectral analysis of equilibration: information leakage in isolated quantum systems Engineer, T

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Spectral analysis of equilibration: information leakage in isolated quantum systems A finite-resources description of a measurement process and its implications for the "Wigner's Friend" scenario

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Observation 3ea3bce4-31ed-4e00-8c85-290f3bcb2e59 · outbound

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Spectral analysis of equilibration: information leakage in isolated quantum systems Unresolved cited work

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Spectral analysis of equilibration: information leakage in isolated quantum systems Srednicki, Chaos and quantum thermalization, Phys

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Spectral analysis of equilibration: information leakage in isolated quantum systems Anzà and V

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Spectral analysis of equilibration: information leakage in isolated quantum systems Gorin, T

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Spectral analysis of equilibration: information leakage in isolated quantum systems Emerson, Y

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Spectral analysis of equilibration: information leakage in isolated quantum systems Prosen, General relation between quantum ergodicity and fidelity of quantum dynamics, Phys

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Spectral analysis of equilibration: information leakage in isolated quantum systems Kowalewska-Kudłaszyk, J

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Spectral analysis of equilibration: information leakage in isolated quantum systems Távora, E

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Spectral analysis of equilibration: information leakage in isolated quantum systems Schiulaz, E

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Spectral analysis of equilibration: information leakage in isolated quantum systems Lerma-Hernández, D

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Spectral analysis of equilibration: information leakage in isolated quantum systems Unresolved cited work

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Spectral analysis of equilibration: information leakage in isolated quantum systems Haake,Quantum Signatures of Chaos, 2nd ed

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Spectral analysis of equilibration: information leakage in isolated quantum systems Donget al., Measuring the spectral form factor in many-body chaotic and localized phases of quantum pro- cessors, Phys

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Spectral analysis of equilibration: information leakage in isolated quantum systems Bohr,Almost Periodic Functions, 2nd ed

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Spectral analysis of equilibration: information leakage in isolated quantum systems Observable Statistical Mechanics

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Spectral analysis of equilibration: information leakage in isolated quantum systems Mandelstam and I

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Spectral analysis of equilibration: information leakage in isolated quantum systems Deffner and S

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Spectral analysis of equilibration: information leakage in isolated quantum systems Caneva, M

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Spectral analysis of equilibration: information leakage in isolated quantum systems Gogolin and J

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Spectral analysis of equilibration: information leakage in isolated quantum systems Unresolved cited work

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Spectral analysis of equilibration: information leakage in isolated quantum systems Li and S.-S

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Spectral analysis of equilibration: information leakage in isolated quantum systems Karch, S

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Spectral analysis of equilibration: information leakage in isolated quantum systems Serbyn, D

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Spectral analysis of equilibration: information leakage in isolated quantum systems Nahum, J

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Spectral analysis of equilibration: information leakage in isolated quantum systems Bernien, S

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Spectral analysis of equilibration: information leakage in isolated quantum systems Labuhn, D

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Spectral analysis of equilibration: information leakage in isolated quantum systems Ebadi, T

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Spectral analysis of equilibration: information leakage in isolated quantum systems Scholl, M

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Spectral analysis of equilibration: information leakage in isolated quantum systems Bengtsson and K

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Observation 0b516848-62f9-44c9-8ae8-9ec43868eb04 · outbound

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Spectral analysis of equilibration: information leakage in isolated quantum systems Themixture past-hypothesisis an important step in Theorems 1 to obtain an LFF variance decay scaling as 1/d 2 eff

Reference 68

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Observation 637af952-b02e-4015-a640-9abf8560fc91 · outbound

This paper cites (A2) Notice that for pure initial states |ψ0⟩, there is no mixing and the rank is equal to one, resulting trivially Tr (µ) ≤1, as it should be.

Spectral analysis of equilibration: information leakage in isolated quantum systems (A2) Notice that for pure initial states |ψ0⟩, there is no mixing and the rank is equal to one, resulting trivially Tr (µ) ≤1, as it should be

Reference 69

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Observation d792b155-4dcb-4a32-9803-6426cc3cb3ff · outbound

This paper cites an unresolved cited work.

Spectral analysis of equilibration: information leakage in isolated quantum systems Unresolved cited work

Reference 70

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Observation 2cc47a96-f514-41be-880c-61b74b0c6ad5 · outbound

This paper cites Letρ 0 = ∑r−1 α=0 λα |φα⟩ ⟨φα| be its spectral decomposition, and defineµ= D(ρ 0)andµ α =D( |φα⟩ ⟨φα|), where D denotes dephasing in the Hamiltonian eigenbasis.

Spectral analysis of equilibration: information leakage in isolated quantum systems Letρ 0 = ∑r−1 α=0 λα |φα⟩ ⟨φα| be its spectral decomposition, and defineµ= D(ρ 0)andµ α =D( |φα⟩ ⟨φα|), where D denotes dephasing in the Hamiltonian eigenbasis

Reference 71

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Observation 7997fea9-f969-4ae7-8a5a-149f66567df4 · outbound

This paper cites [7, 31], applied to the multiset of gaps{ω ij }i̸=j (counted with multiplicity) as encoded byN(ε), ∥Φ(T) ∥op ≤ N(ε) 1+ 8 logd E εT =f(ε,T).

Spectral analysis of equilibration: information leakage in isolated quantum systems [7, 31], applied to the multiset of gaps{ω ij }i̸=j (counted with multiplicity) as encoded byN(ε), ∥Φ(T) ∥op ≤ N(ε) 1+ 8 logd E εT =f(ε,T)

Reference 72

Resolution: unresolved; no resolver link, observed 2026-06-27T09:29:11.783273Z

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Observation a0f35e50-5ed5-4ff3-883d-4a14b35e3ce4 · outbound

This paper cites an unresolved cited work.

Spectral analysis of equilibration: information leakage in isolated quantum systems Unresolved cited work

Reference 73

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Observation bede2818-23da-46bb-bd41-0c6aecc673ce · outbound

This paper cites Define the weights qdyn nm := 2pn pm ∑ i<j 2pi pj ,n<m.

Spectral analysis of equilibration: information leakage in isolated quantum systems Define the weights qdyn nm := 2pn pm ∑ i<j 2pi pj ,n<m

Reference 74

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Observation 58025904-2a9a-4459-b959-79472aaf764d · outbound

This paper cites ∑ n p 2 n ! 2 − ∑ n p 4 n # = 1 2 1 d2 eff − ∑ n p 4 n ! , (C18) and ∑ n<m p 4 n p 4 m = 1 2.

Spectral analysis of equilibration: information leakage in isolated quantum systems ∑ n p 2 n ! 2 − ∑ n p 4 n # = 1 2 1 d2 eff − ∑ n p 4 n ! , (C18) and ∑ n<m p 4 n p 4 m = 1 2

Reference 75

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Observation 7e42e51a-52bd-4ce0-b3d6-8335f9b10862 · outbound

This paper cites The Hamiltonian is H=g N ∑ i=1 σx i +h N−1 ∑ i=2 σz i +J N−1 ∑ i=1 σz i σz i+1 + (h−J) (σz 1 +σ z N) , (D1) whereσ α i denotes the Pauli operator acting on siteiin directionα=x,y,z.

Spectral analysis of equilibration: information leakage in isolated quantum systems The Hamiltonian is H=g N ∑ i=1 σx i +h N−1 ∑ i=2 σz i +J N−1 ∑ i=1 σz i σz i+1 + (h−J) (σz 1 +σ z N) , (D1) whereσ α i denotes the Pauli operator acting on siteiin directionα=x,y,z

Reference 76

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Observation c20b75ee-f54c-4644-ae52-f9c92c146f2e · outbound

This paper cites These distributions are not meant to represent the exact spectral occupation of a particular many-body Hamiltonian.

Spectral analysis of equilibration: information leakage in isolated quantum systems These distributions are not meant to represent the exact spectral occupation of a particular many-body Hamiltonian

Reference 77

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Observation b287c5bf-69b0-44dd-b910-cfb180e8f2cc · outbound

This paper cites We now complement it with two explicit dynamical examples.

Spectral analysis of equilibration: information leakage in isolated quantum systems We now complement it with two explicit dynamical examples

Reference 78

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Observation b6b35d34-4c7e-4321-8cc6-e7eebcb9b3ff · outbound

This paper cites an unresolved cited work.

Spectral analysis of equilibration: information leakage in isolated quantum systems Unresolved cited work

Reference 79

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