{"total":22,"items":[{"citing_arxiv_id":"2606.31110","ref_index":61,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Explaining Machine Learning and Memorization with Statistical Mechanics","primary_cat":"cs.LG","submitted_at":"2026-06-30T04:15:23+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":3.0,"formal_verification":"none","one_line_summary":"Thesis uses statistical mechanics to study DAM and RBM models for understanding memorization, low-dimensional learning, and adversarial robustness in neural networks.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.26090","ref_index":265,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Fast mixing of all-to-all quantum systems at high temperatures","primary_cat":"quant-ph","submitted_at":"2026-06-24T17:58:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"k-local quantum Hamiltonians admit system-size-independent spectral gap for Gibbs samplers at high temperature, enabling FPT quantum approximation algorithms for partition functions.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.23810","ref_index":14,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Universal Dynamical Response to Slow Driving in Chaotic Systems","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-22T18:00:20+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"A framework detects chaos via divergence of speed-Fisher information under slow driving, controlled by low-frequency spectral weight and tied to entropy production, applying to classical, quantum, and non-Hamiltonian systems.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.21441","ref_index":34,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Observation of a tripartite quantum phase for coexisting extended, localized, and critical states","primary_cat":"cond-mat.quant-gas","submitted_at":"2026-05-20T17:30:28+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Experimental observation of coexisting extended, localized, and critical states in a quasiperiodic Floquet-modulated orbital optical lattice using ultracold atoms.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.19364","ref_index":46,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Optimal Spectral Algorithms for Correlated Two-view Models in High Dimensions","primary_cat":"math.ST","submitted_at":"2026-05-19T04:55:13+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Introduces a TAP-motivated framework and constructs explicit parameter-free spectral algorithms that achieve strong detection and weak recovery thresholds in three canonical correlated two-view models with matching lower bounds.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.10191","ref_index":29,"ref_count":2,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Computing eigenpairs of quantum many-body systems with Polfed.jl","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-05-11T08:41:51+00:00","verdict":"CONDITIONAL","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Polfed.jl provides an efficient implementation of polynomially filtered Lanczos diagonalization for mid-spectrum eigenpairs in quantum many-body systems, supporting larger sizes via on-the-fly polynomial transformations and GPU acceleration.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"A43, 2046 (1991), doi:10.1103/PhysRevA.43.2046. [27]M. Srednicki,Chaos and quantum thermalization, Phys. Rev. E50, 888 (1994), doi:10.1103/PhysRevE.50.888. [28]A. Polkovnikov, K. Sengupta, A. Silva and M. Vengalattore,Colloquium: Nonequilib- rium dynamics of closed interacting quantum systems, Rev. Mod. Phys.83, 863 (2011), doi:10.1103/RevModPhys.83.863. [29]L. D'Alessio, Y. Kafri, A. Polkovnikov and M. Rigol,From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics, Adv. Phys.65, 239 (2016), doi:10.1080/00018732.2016.1198134. [30]R. Nandkishore and D. A. Huse,Many-body localization and thermalization in quantum statistical mechanics, Annu. Rev. Condens. Matter Phys.6, 15 (2015),"},{"citing_arxiv_id":"2605.09031","ref_index":70,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Spherical Boltzmann machines: a solvable theory of learning and generation in energy-based models","primary_cat":"cs.LG","submitted_at":"2026-05-09T16:15:18+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"In the high-dimensional limit the spherical Boltzmann machine admits exact equations for training dynamics, Bayesian evidence, and cascades of phase transitions tied to mode alignment with data, which connect to generative phenomena including double descent and out-of-equilibrium biases.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"j=0 ,(66) with ji(t) a fictitious source added to the right-hand side of (4); the memory kernel and noise correlator are M(t, u) =e − γ 2 (t−u) \u0014 − Kν 2 Q(t, u) + ν2 ηγ R(t, u) \u0015 , D(t, u) = 2νδ(t−u) + ν2 ηγ e− γ 2 |t−u|Q(t, u). (67) We sketch the derivation of the dynamical mean-field theory summarized in Sec. 2.2. The intermediate expressions (68)-(70) are displayed at K= 1 with a single data direction c and scalar eigenvalue c. Throughout, data eigenvectors are normalized to∥ck∥2 =P i c2 k,i =N , so that overlapsck·vk/N are O(1) and the rank-one matrix cc⊤/N in (68) carries the K=1 data covariance at unit scalar eigenvalue. The general-K reduction to Eqs. (11)-(13) follows by linearity, summing the positive-phase source"},{"citing_arxiv_id":"2604.24850","ref_index":4,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Emergent prethermal Bethe integrability in a periodically driven Rydberg chain","primary_cat":"quant-ph","submitted_at":"2026-04-27T18:00:02+00:00","verdict":"CONDITIONAL","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"At special drive frequencies, the leading perturbative Floquet Hamiltonian of a driven Rydberg chain maps to the XXZ model, producing emergent prethermal integrability confirmed by level statistics and entanglement in exact diagonalization.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.19625","ref_index":247,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Coherent-State Propagation: A Computational Framework for Simulating Bosonic Quantum Systems","primary_cat":"quant-ph","submitted_at":"2026-04-21T16:13:57+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"Coherent-state propagation enables quasi-polynomial classical simulation of bosonic circuits with logarithmically many Kerr gates at exponentially small trace-distance error, with polynomial runtime in the weak-nonlinearity regime.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.14695","ref_index":53,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Level statistics of the disordered Haldane-Shastry model with $1/r^\\alpha$ interaction","primary_cat":"cond-mat.str-el","submitted_at":"2026-04-16T06:55:41+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"In the long-range Haldane-Shastry model, pristine Poisson level statistics emerge only with combined position disorder and random magnetic fields, with an approximate scaling collapse governed by the product αδ when SU(2) symmetry is broken.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.14522","ref_index":56,"ref_count":2,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Double-scaled bosonic and fermionic embedded ensembles, complex SYK, and the dual Hilbert space","primary_cat":"hep-th","submitted_at":"2026-04-16T01:24:27+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Double-scaled fermionic and bosonic embedded ensembles are equivalent to double-scaled complex SYK and solvable via the Wick product of non-commuting Gaussian random variables, yielding a duality to the chord Hilbert space.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"typically governed by few-body interactions, and the stren gth density has exactly the form predicted by ETH. When q →0 the Hamiltonian is a Wigner-Dyson ensemble and is not phys- ical. However , the strength density is a surprisingly non-t rivial function of E1 and E2, which is contrary to the usual discussion of off-diagonal matrix e lements when the eigenvectors of the Hamiltonian are Haar random unitaries [56]. A more thorough discussion of embedded ensembles and ETH will be left for a follow up paper . 4.2 4-point function In this section we show how to compute the 4-point density , 1 D3 /angleleftbig1 O†δ(H −E1)O†δ(H −E2)Oδ(H −E3)Oδ(H −E4) /anglerightbig1 = ρ(E1|q)ρ(E2|q)ρ(E3|q)ρ(E4|q)O(E1, E2, E3, E4|ρ), (4.21) where the 4-point function is O(E1, E2, E3, E4|ρ) ="},{"citing_arxiv_id":"2604.10775","ref_index":52,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Thermalization Fronts in the Hubbard-Holstein Model","primary_cat":"cond-mat.str-el","submitted_at":"2026-04-12T18:52:02+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Thermalization after a quench in the Hubbard-Holstein model occurs via sharp fronts in real time and DMFT iteration space, with electron fronts appearing earlier than phonon fronts at weak coupling.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.03977","ref_index":7,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Statistics of Matrix Elements of Operators in a Disorder-Free SYK model","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-04-05T05:45:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"In the disorder-free SYK model, off-diagonal matrix elements of operators built from n≥4 Majorana fermions follow a generalized inverse Gaussian distribution.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"1198134. [5] S. Pappalardi, L. Foini, and J. Kurchan, Eigenstate ther- malization hypothesis and free probability, Phys. Rev. Lett.129, 170603 (2022). [6] V. E. Korepin, N. M. Bogoliubov, and A. G. Izer- gin,Quantum Inverse Scattering Method and Correla- tion Functions, Cambridge Monographs on Mathematical Physics (Cambridge University Press, 1993). [7] M. Takahashi,Thermodynamics of One-Dimensional Solvable Models(Cambridge University Press, 1999). [8] F. H. L. Essler, H. Frahm, F. G¨ ohmann, A. Kl¨ umper, and V. E. Korepin,The One-Dimensional Hubbard Model (Cambridge University Press, 2005). [9] M. Gaudin,The Bethe Wavefunction, edited by J.-S. Caux (Cambridge University Press, 2014). [10] F. H."},{"citing_arxiv_id":"2603.25829","ref_index":49,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Quantum Thermalization beyond Non-Integrability and Quantum Scars in a Multispecies Bose-Josephson Junction","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-03-26T18:46:59+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Quantum thermalization occurs in chaotic and integrable regimes of a multispecies Bose-Josephson junction, with quantum scars remaining athermal in the chaotic regime.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2601.00405","ref_index":1,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"The Maximal Entanglement Limit in Statistical and High Energy Physics","primary_cat":"quant-ph","submitted_at":"2026-01-01T17:37:29+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Quantum systems reach a Maximal Entanglement Limit where entanglement geometry produces thermal reduced density matrices and probabilistic behavior in statistical and high-energy physics.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Advantage (C2QA) under Contract No.DE-SC0012704. Part of the work 58REFERENCES on these lectures was performed at the Aspen Center for Physics, supported by National Science Foundation grant PHY-2210452, during the 2025 Sum- mer program on \"Strongly interacting quantum matter at the Electron Ion Collider\" organized by Z. Meziani, F. Salazar, Y. Zhao and D.K. REFERENCES [1] L. D'Alessio, Y. Kafri, A. Polkovnikov and M. Rigol, \"From quantum chaos and eigenstate thermalization to statistical mechan- ics and thermodynamics,\" Adv. Phys.65, no.3, 239-362 (2016) doi:10.1080/00018732.2016.1198134 [arXiv:1509.06411 [cond-mat.stat- mech]]. [2] F. Borgonovi, F. M. Izrailev, L. F. Santos and V. G. Zelevinsky, \"Quan- tum chaos and thermalization in isolated systems of interacting parti-"},{"citing_arxiv_id":"2512.13913","ref_index":3,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Capturing reduced-order quantum many-body dynamics out of equilibrium via neural ordinary differential equations","primary_cat":"cs.LG","submitted_at":"2025-12-15T21:48:10+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Neural ODEs reproduce 2RDM dynamics from data only when three-particle cumulant correlations are strong, mapping the validity regime of cumulant expansions.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2511.11333","ref_index":5,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Scaling of free cumulants in closed system-bath setups","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-11-14T14:11:30+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Microcanonical free cumulants of central-system observables scale universally with system-bath interaction strength in closed setups, connecting to thermalization dynamics.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2507.07249","ref_index":3,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Kubo-Martin-Schwinger relation for energy eigenstates of SU(2)-symmetric quantum many-body systems","primary_cat":"quant-ph","submitted_at":"2025-07-09T19:46:47+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Energy eigenstates in SU(2)-symmetric quantum many-body systems obey a KMS relation whose finite-size correction scales as usual or polynomially larger depending on circumstances, supported by numerics on small Heisenberg chains.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2507.06286","ref_index":118,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Krylov Complexity","primary_cat":"hep-th","submitted_at":"2025-07-08T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":2.0,"formal_verification":"none","one_line_summary":"Krylov complexity is a canonical, parameter-independent measure of operator spreading that probes chaotic dynamics to late times and admits a geometric interpretation in holographic duals.","context_count":1,"top_context_role":"background","top_context_polarity":"unclear","context_text":"ranges of both the outer and inner loops which were corrected by Sánchez-Garrido (2024), from where the ranges shown in this text have been taken. equation, or in the Liouvillian formalism, where it is gen- erated by the von Neumann equation32: Schrödinger: i∂t|ψ(t)⟩ = H|ψ(t)⟩ (115) =⇒ | ψ(t)⟩ = e−itH |ψ⟩ , (116) von Neaumann: i∂t ρ(t) \u0001 = L ρ(t) \u0001 (117) =⇒ ρ(t) \u0001 = e−itL|ρ) . (118) It is worth to reiterate that the solutions to both equations (115) and (117) describe evolution in the Schrödinger picture, hencethesigndifferencebetweenthe exponent in the right side of (118) and that in (85), and both lines (116) and (118) describe the time evolution of the same (pure) quantum state of the system (114). This is why often the terminologyHamiltonian vs Liouvillian"},{"citing_arxiv_id":"2506.22436","ref_index":56,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Is Lindblad for me?","primary_cat":"quant-ph","submitted_at":"2025-06-27T17:59:59+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":3.0,"formal_verification":"none","one_line_summary":"A review that contrasts common assumptions about the Lindblad equation with refined expectations drawn from examples, culminating in a checklist for assessing its breakdown.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"19The other possible jump operator σ+ would correspond to absorption of energy from the bath, but this cannot happen if the latter is in the ground state. 20It should be evident that in the present formalism, thermalization is enforced by the dissipative part of the Lindblad dynamics (the jump operators), and not by the system dynamics (as it happens for isolated quantum systems obeying the eigenstate thermalization hypothesis [56]). Hence, the mere presence of the interaction VAB, which acts on both parts of the system, cannot be sufficient to bring any initial state to the thermal one if the jumps still act on the two subsystems independently . 16 SciPost Physics Lecture Notes Submission thermalization and conservation laws in various master equations. We remark that the various properties of the Lindblad master equation listed in the previous"},{"citing_arxiv_id":"2411.12050","ref_index":42,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Long-time Freeness in the Kicked Top","primary_cat":"cond-mat.stat-mech","submitted_at":"2024-11-18T20:43:11+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"In the fully chaotic regime of the kicked top, long-time freeness is reached exponentially fast, accompanied by a hierarchy of time scales indicating a multifractal approach.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2311.12280","ref_index":13,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Characterizing the Many Body Localization Crossover as a Metal-Insulator Transition: Localization length from Polarization and Quantum Metric","primary_cat":"cond-mat.dis-nn","submitted_at":"2023-11-21T01:50:42+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Authors characterize the MBL crossover via many-body quantum metric and localization parameter, extracting a localization length from wavefunction spread measurable by the metric.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}