🔢 Category

math-ph

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.

🔢 mathematics

Causality from Projection and Hardy-Space Analyticity of Non-Markovian Memory Kernels

This paper rigorously establishes that Nakajima-Zwanzig memory kernels for open quantum systems with factorized initial states and continuous bath spectra belong to the Hardy space, thereby proving the validity of Kramers-Kronig dispersion relations and providing new theorems linking analyticity to physical constraints like complete positivity and stability, while demonstrating that correlated initial states can break this analyticity and lead to acausal dynamics.

Kejun Liu2026-04-21
🔢 mathematics

Synthetic Seismograms from Particle Bed Interactions and Turbulent River Flow: Modeling and Comparison with Observations

This paper presents a physics-based numerical model that synthesizes seismic signals from gravel-bed rivers by integrating grain-scale particle dynamics with turbulent flow effects, demonstrating its ability to distinguish between sediment transport and flow-induced noise through comparison with observed flood data.

Sara Nicoletti, Giacomo Belli, Omar Morandi, Emanuele Marchetti2026-04-21
🔢 mathematics

Morita equivalence for quantum graphs

This paper establishes an operator-algebraic framework for Morita equivalence of quantum graphs based on Δ\Delta-equivalence, demonstrating that irreducibly acting quantum graphs are Morita equivalent if and only if they are full pullbacks of a common graph, while proving that key graph invariants such as the Lovász number and Shannon capacity remain invariant under this equivalence.

Alexandros Chatzinikolaou, Gage Hoefer, Nikolaos Koutsonikos-Kouloumpis, Ioannis Apollon Paraskevas2026-04-21
🔢 mathematics

Uniform analyticity of local observables in FK-percolation and analyticity of the Ising spontaneous magnetisation

This paper establishes the uniform analyticity of local observables in FK-percolation under mixing assumptions, a result that is leveraged to prove the analyticity of the Potts model's magnetisation (including the Ising case in all dimensions d≥3d \geq 3 within the supercritical regime) and susceptibility across the subcritical interval, as well as various connectivity probabilities.

Lucas D'Alimonte, Loïc Gassmann2026-04-21
🔢 mathematics

Efficient thermalization and universal quantum computing with quantum Gibbs samplers

This paper demonstrates that a specific family of efficiently implementable quasi-local dissipative evolutions can universally prepare high-temperature Gibbs states and their purifications in polynomial time, while also achieving computational universality equivalent to polynomial-time quantum computing in the low-temperature regime.

Cambyse Rouzé, Daniel Stilck França, Álvaro M. Alhambra2026-04-20
🔢 mathematics

Optimal Coherent Quantum Phase Estimation via Tapering

This paper introduces the tapered quantum phase estimation (tQPE) algorithm, which leverages classical signal processing window functions to achieve asymptotically optimal query complexity for coherent phase estimation without the high resource overhead of the standard coherent median technique, while also providing an efficiently preparable state that incurs at most a factor-of-two increase in error probability.

Dhrumil Patel, Shi Jie Samuel Tan, Yigit Subasi, Andrew T. Sornborger2026-04-20