When velocity autocorrelations mirror force autocorrelations: Exact noise-cancellation in interacting Brownian systems

This paper provides a rigorous theoretical justification for the noise-cancellation algorithm in interacting Brownian systems by proving that cross-correlations vanish in thermal equilibrium—rendering the method exact—while demonstrating that finite cross-correlations in nonequilibrium systems serve as a distinct fingerprint of non-equilibrium physics requiring specific corrections.

Anton Lüders, Suvendu Mandal, Thomas FranoschWed, 11 Ma🔬 cond-mat

A conjecture on the lower bound of the length-scale critical exponent ν\nu at continuous phase transitions

This paper conjectures a lower bound for the critical exponent ν\nu in continuous phase transitions described by Landau-Ginzburg-Wilson Φ4\Phi^4 theories, proposing the inequality ν(2η)1\nu \ge (2-\eta)^{-1} (which implies ν1/2\nu \ge 1/2 for unitary theories) based on the condition Δε2Δφ\Delta_\varepsilon \ge 2 \Delta_\varphi, a hypothesis supported by arguments from lattice models, ϵ\epsilon-expansions, and exact two-dimensional conformal field theory results.

Andrea Pelissetto, Ettore VicariWed, 11 Ma⚛️ hep-lat

Intertwining Markov Processes via Matrix Product Operators

This paper introduces a generalized matrix product operator framework to establish global duality transformations between distinct one-dimensional boundary-driven Markov processes, demonstrating that the symmetric simple exclusion process with out-of-equilibrium boundaries is exactly dual to an equilibrium system where the Gibbs-Boltzmann measure effectively captures non-equilibrium physics.

Rouven Frassek, Jan de Gier, Jimin Li, Frank VerstraeteWed, 11 Ma🔢 math-ph

Verifying Good Regulator Conditions for Hypergraph Observers: Natural Gradient Learning from Causal Invariance via Established Theorems

This paper verifies that persistent observers in causally invariant hypergraph substrates satisfy the Conant-Ashby Good Regulator Theorem, thereby necessitating internal models that lead to natural gradient descent as the unique learning rule and yielding a model-dependent closed-form formula for Vanchurin's regime parameter α\alpha with a quantum-classical threshold at κ(F)=2\kappa(F)=2.

Max ZhuravlevWed, 11 Ma🤖 cs.LG

Maximally Symmetric Boost-Invariant Solutions of the Boltzmann Equation in Foliated Geometries

This paper presents a unified exact solution to the relativistic Boltzmann equation for a boost-invariant conformal gas on dS3×RdS_3 \times \mathbb{R} across all constant-curvature slicings, which reproduces known Bjorken and Gubser flows while introducing a novel analytic "Grozdanov flow" for hyperbolic foliations that naturally encompasses both hydrodynamic and free-streaming regimes.

Mauricio Martinez, Christopher PlumbergWed, 11 Ma⚛️ hep-ph

Exact downfolding and its perturbative approximation

This paper presents a rigorous formulation of the downfolding procedure to derive exact effective models for arbitrary target spaces by integrating out high-energy degrees of freedom, establishes conditions for perturbative truncation, formally derives the constrained random phase approximation (cRPA) with identified corrections, and validates the approach using material examples like fcc Nickel and SrCuO2_2.

Jonas B. Profe, Jakša Vučičevic, P. Peter Stavropoulos, Malte Rösner, Roser Valentí, Lennart KleblWed, 11 Ma🔬 cond-mat.mtrl-sci

Capacity of Entanglement and Replica Backreaction in RST Gravity

This paper analytically computes the capacity of entanglement in the Russo-Susskind-Thorlacius (RST) model of two-dimensional dilaton gravity, revealing that while single-interval capacity remains time-independent, the global replica backreaction induces a time-dependent capacity for two intervals that signals non-uniform saddle competition and sharp features at the Page transition.

Raúl Arias, Daniel FondevilaWed, 11 Ma⚛️ quant-ph

Universal Family-Vicsek scaling in quantum gases far from equilibrium

This paper experimentally demonstrates that the universal Family-Vicsek scaling laws, originally established for classical surface growth, also govern the non-equilibrium dynamics of quantum fluctuations in a one-dimensional Bose gas, thereby unifying the understanding of universality across classical and quantum systems.

Kiryang Kwon, Kazuya Fujimoto, Junhyeok Hur, Byungjin Lee, Samgyu Hwang, Sumin Kim, Ryusuke Hamazaki, Yuki Kawaguchi, Jae-yoon ChoiWed, 11 Ma⚛️ quant-ph

Topological phase transition of deformed Z3{\mathbb Z}_3 toric code

This paper investigates the topological phase transitions of a deformed Z3\mathbb{Z}_3 toric code by mapping its wavefunction norm to classical partition functions, revealing a rich phase diagram with three distinct phases separated by critical lines characterized by Z3\mathbb{Z}_3 and Z4\mathbb{Z}_4 parafermion conformal field theories, as well as isolated critical points exhibiting Hilbert space fragmentation and quantum many-body scars.

Yun-Tak Oh, Hyun-Yong LeeWed, 11 Ma⚛️ quant-ph