Unlocking Schur Positivity: A New Proof for a Long-Standing Conjecture
Researchers have confirmed a key hypothesis concerning the non-negativity of certain polynomial coefficients, resolving a problem that has challenged mathematicians for years.
Science
Simulating Nuclear Decay: A New Approach to Gamow-Teller Transitions
![Calculations of [latex]GT^{-} [/latex] transition strength for 44Ca, comparing results from Particle-Core Model (PGCM) calculations utilizing both pure spherical and Generator Coordinate Method (GCM) wave functions against shell-model predictions, demonstrate the influence of nuclear structure on the distribution of transition strengths to [latex]1^{+} [/latex] states in 44Sc.](https://arxiv.org/html/2601.05058v1/x3.png)
Researchers have refined a computational method to model the complex processes governing nuclear beta decay, offering improved accuracy and efficiency.
Spin Chain Chaos: From Order to Scars to Full Turbulence
![In classical spin systems, the emergence of many-body chaos unfolds from initially ordered states containing disordered regions-analogous to low-temperature excitations-where scattered quasiparticles seed secondary wavefronts of chaos within a primary spatiotemporal lightcone, transitioning the system from a scarred regime to fully developed chaotic behavior at later times, as quantified by the decorrelator [latex]\text{Eq.3}[/latex].](https://arxiv.org/html/2601.05238v1/x1.png)
New research reveals how complex chaotic behavior arises in classical spin chains as interactions intensify and wave scattering becomes dominant.
Scaling Concurrent Stacks with Sharding and Smart Combining
A new approach to concurrent stack design leverages sharding to unlock improved performance and scalability for multi-threaded applications.
Shielding Bangla Text Generation from AI Mimicry
Researchers have developed a new watermarking technique to protect text generated by large language models in Bangla, addressing vulnerabilities to sophisticated cross-lingual attacks.
Beyond Ergodicity: Scar States Emerge in Multi-Spin Hubbard Models
New research demonstrates the construction of stable, non-ergodic quantum states within the SU(N) Hubbard model, revealing a pathway to understanding complex many-body physics.
Erasing Quantum Memories: A New Approach to Machine Unlearning
Researchers have developed a method for selectively removing data from quantum machine learning models without compromising overall performance.
Beyond Standard Solutions: Exploring Schrödinger’s Equation with Time Delays
New research delves into the existence and properties of complex solutions to the Schrödinger equation when faced with time-delayed potentials, expanding the possibilities for modeling quantum systems.
Unveiling Hidden States at the Edge of Quantum Chaos
![Impurity challenges within thermal baths can be effectively modeled using a Wilson chain approach with a length cutoff [latex]\Lambda_{imp}[/latex] for non-interacting systems, but strongly-correlated baths necessitate representation via local tensors defined across impurity and bulk regions-also demarcated by [latex]\Lambda_{imp}[/latex]-allowing the impurity itself to function as a quantum probe for diagnosing quantum critical regions and associated crossovers during quantum phase transitions.](https://arxiv.org/html/2601.04729v1/main_text/Fig1.png)
A new theoretical approach accurately models the behavior of quantum impurities in complex materials, revealing exotic states and paving the way to understand quantum phase transitions.
Smart Contracts Get Smarter: Building Trustworthy Autonomous Agents on the Blockchain
This review examines the emerging field of agentic AI operating on blockchain networks, focusing on the standards and execution models needed to ensure safe and compliant transactions.