3366 papers
Mathematical physics sits at the fascinating intersection where abstract equations meet the fundamental laws of our universe. This field uses rigorous mathematical tools to model everything from the behavior of subatomic particles to the curvature of spacetime, turning complex theories into testable predictions. It is the language through which physicists describe reality, bridging the gap between pure mathematics and physical observation.
On Gist.Science, we process every new preprint published in this category on arXiv to make these dense studies accessible to everyone. Whether you are a specialist or a curious reader, you will find both plain-language overviews and detailed technical summaries for each paper. Below are the latest mathematical physics papers from arXiv, curated to help you explore the cutting edge of theoretical science.
This paper demonstrates that the Transient Time Correlation Function (TTCF) method is a computationally efficient and precise alternative to traditional time-averaging approaches for calculating nonequilibrium transport coefficients in both linear and nonlinear regimes, as validated through case studies of the Lorentz gas and anharmonic oscillator chains.
This paper constructs a novel family of exact cnoidal waves and dark solitons for the focusing and defocusing Ablowitz-Ladik equations, characterized by a "swinging" phase with nonlinear dependence on time and site number, derived via a two-point map that enables arbitrary lattice positioning and establishes explicit velocity quantization rules for waves on closed loops.
This paper establishes that circle graph states are closed under local unitary equivalence, demonstrates their correspondence to planar code states to prove the classical simulability of measurement-based quantum computation on them, and shows that counting LU-equivalent graph states is -hard.
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 with a quantum-classical threshold at .
This paper mathematically validates Enrico Fermi's 1936 model for slow neutron scattering from a bound proton by proving the Limiting Absorption Principle, establishing stationary scattering theory, and deriving the scattering cross-section formula within the Born approximation.
This paper investigates the weak-coupling limit of the lattice nonlinear Schrödinger integral equation by employing matched asymptotic expansions to derive the ground-state energy and density, revealing a logarithmic divergence linked to the Bose-Einstein distribution and uncovering a resurgent transseries structure through Wiener-Hopf analysis.
This paper introduces a universal Dual-Tree Complex Wavelet Transform (DTCWT) method for removing spectral backgrounds in experimental data, demonstrating its superior signal preservation and reduced bias compared to traditional fitting or Fourier-based techniques through applications on X-ray powder diffraction and photoluminescence spectra.
This paper introduces hysteretic squashed entanglement (), a robust conditional entanglement monotone for mixed many-body states that effectively filters out classical contributions to detect genuine quantum correlations and quantify topological order in systems like the transverse-field Ising model.
This paper systematically characterizes categorical duality operators on spin and anyon chains with internal fusion category symmetry by parameterizing them via quantum cellular automata and associated bimodule categories, demonstrating that such operators form a simplex whose extreme points correspond to simple objects, and proving that these structures inevitably flow to weakly integral fusion categories in the infrared limit when defined on tensor product Hilbert spaces.
This paper proves that the classification of two-dimensional symmetry-protected topological states by the cohomology group is complete for the specific subset of states that can be prepared from a product state via a symmetric entangler.