790 papers
This paper introduces a permutation-invariant, multi-scale full quantum neural network framework that accurately models the joint wavefunction of electrons, nuclei, and muons beyond the Born-Oppenheimer approximation, offering a computationally feasible solution for capturing complex quantum correlations in many-body systems.
This paper investigates the functional-diffusion of magnetization in an Ising model with an external field, revealing power-law anomalies in the approach to ergodicity across various temperatures and fields through both numerical simulations and exact solutions.
This paper presents a quantum-inspired extension of the GenomeBits model that characterizes finite (0,1) binary sequences, such as genome data, by treating them as wavefunctions to reveal sound-wave-like features in their real and imaginary spectra.
This paper calculates the three-loop renormalization constants for N=1, N=2, and N=4 supersymmetric Yang-Mills theories in an arbitrary covariant gauge using the dimensional reduction scheme, confirming the scheme's validity up to the third order of perturbation theory by demonstrating consistent beta-functions for N=1 and N=4 models.
This paper establishes that for planar random curves in domains with rough boundaries, the operations of taking weak limits and applying conformal maps commute, thereby confirming that the conformal image of a limit curve is the limit of the conformal images under minimal boundary regularity assumptions.
This paper demonstrates that removing the quadratic term from the on-lattice model simplifies its energy landscape to only three critical points while preserving the symmetry-breaking phase transition, thereby offering a tractable framework for investigating the geometric-topological origins of such transitions.
This paper establishes that the local scaling limit of multiple boundary-to-boundary branches in a uniform spanning tree is a local multiple SLE(2) process, a result derived by constructing a weighted martingale observable that relies on the discrete domain Markov property and the convergence of partition functions.
This paper proves that the height function of the six-vertex model with parameters and $1 \le c \le 2c > 2$.
This paper introduces formal multiparameter quantum universal enveloping algebras (FoMpQUEA) as a generalization of Drinfeld's quantum groups, demonstrating that they are closed under toral twists and 2-cocycle deformations, establish a bijective correspondence with multiparameter Lie bialgebras via quantization and semiclassical limits, and prove that specialization and deformation processes commute.
This paper presents a concise new computation of pairing probabilities for multiple chordal interfaces in various critical models by leveraging the convexity and a newly established uniqueness property of local multiple SLE measures.
Using a parquet renormalization group analysis on a Rashba model with higher-order van Hove singularities, this study demonstrates that the interplay between nontrivial Berry phases and electronic interactions robustly stabilizes chiral topological superconductivity despite competing fluctuations.
This paper establishes a relationship between the Euler numbers of moduli spaces of stable pairs supported on singular space curves and those of Flag Hilbert schemes associated with plane curve singularities by utilizing pagoda flop transitions, thereby deriving explicit results for locally complete intersection singularities.
This paper establishes the continuum limit of a discrete Hodge-Dirac operator on -dimensional square lattices by introducing a novel higher-dimensional discrete differential calculus framework that generalizes standard simplicial complex methods and proves the operator's convergence to its continuous counterpart as the lattice spacing vanishes.
This paper analyzes coupled phase oscillators with turnover to reveal two distinct transitions—desynchronization and a newly identified phenomenon called stochastic oscillation quenching, the latter of which requires sufficiently intense coupling and turnover.
This paper investigates the Rumin differentials within irreducible unitary representations of the (2,3,5) nilpotent Lie group, computing their spectra and zeta-regularized determinants for Schrödinger representations while evaluating the analytic torsion for generic representations.
This paper introduces the concept of strongly interlocked modules for vertex operator algebras to establish the well-definedness and key properties of graded pseudo-traces, subsequently applying this framework to fully characterize such modules for rank one Heisenberg and universal Virasoro algebras.
This study establishes that stiffer alginate gels deposit more efficiently in microchannel flows, demonstrating that higher component concentrations and flow rates enhance deposition while reducing gel swelling, with ablation occurring when shear stress overcomes the gel's adhesive energy or yield stress.
The paper introduces HEroBM, a deep equivariant graph neural network that utilizes a hierarchical, local-principle-based approach to achieve accurate, transferable, and universal backmapping from coarse-grained to all-atom molecular representations across diverse chemical systems.
This paper presents a simultaneous analysis of measured and calculated data to predict the prompt fission neutron spectra (PFNS) of 233U(n,F) up to 20 MeV, establishing that while its spectrum is harder than 235U(n,F) but softer than 239Pu(n,F), the underlying pre-fission contributions and energy partitioning differ significantly due to fissility and competing reaction channels.
This paper demonstrates that unconventional early-time relaxation dynamics in Rydberg atom chains, characterized by a specific decay rate of the survival probability, serve as a robust experimental signature for detecting quantum many-body scarring at time scales significantly shorter than thermalization.