Dynamics in Hilbert Space: A Quantum Leap for Data Assimilation
A new framework leverages operator theory and quantum mechanics to build more efficient and accurate models of complex dynamical systems.
A new framework leverages operator theory and quantum mechanics to build more efficient and accurate models of complex dynamical systems.
A powerful, first-quantized approach is reshaping calculations of everything from vacuum decay to high-energy particle collisions.
![The study demonstrates how differing decay pathways of [latex]\mathcal{D}\bar{\mathcal{D}}[/latex] mesons-either through direct contact interaction or an intermediate resonance-yield distinct fitted lineshapes in the total cross section for [latex]e^{+}e^{-}\to J/\psi\,\pi^{+}\pi^{-}[/latex], highlighting the sensitivity of observed particle interactions to underlying decay mechanisms.](https://arxiv.org/html/2603.19550v1/x5.png)
Researchers are probing the intricacies of particle physics by analyzing the decay of certain interactions, seeking evidence for exotic states beyond the Standard Model.
New research outlines how high-energy particle collisions can be used to test the fundamental limits of locality, even without assuming the validity of quantum mechanics.
![The study demonstrates that quantum correlations within the [latex]B^{0}\text{-}\bar{B}^{0}[/latex] system are predictably eroded by decoherence, as evidenced by the decreasing values of entanglement metrics - relative entropy, entanglement of formation, π-tangle, and purity - with increasing decoherence parameters and decay time.](https://arxiv.org/html/2603.20154v1/x7.png)
A new study details how quantum entanglement degrades in B meson pairs due to environmental interactions, offering insights into decoherence in open quantum systems.
![This study of a kagome quantum spin liquid (QSL) model reveals a phase diagram distinguishing between a [latex]\mathbb{Z}_2[/latex] QSL phase and a ferromagnetic (FM) phase, with the emergence of a critical point belonging to the (2+1)d XY* universality class-characterized by anomalous scaling of the quantum Fisher information-and suggests the possible existence of a distinct QSL region beyond the conventional [latex]\mathbb{Z}_2[/latex] phase, all influenced by the interplay between nearest-neighbor hopping and interlayer coupling terms.](https://arxiv.org/html/2603.19951v1/x1.png)
New research demonstrates how subtle quantum properties can be used to map out exotic phases and critical points in complex magnetic materials.
![The reconstruction of the flat-FLRW null test [latex]\mathcal{C}(z)[/latex] from anisotropic BAO data, and its integrated form [latex]\mathcal{C}_{\rm int}(z)[/latex], reveals a discernible pattern when contrasted against the null expectation, suggesting the potential to map cosmological parameters through subtle anisotropies.](https://arxiv.org/html/2603.18986v1/x4.png)
A novel analysis of baryon acoustic oscillations offers a calibration-free method to verify the foundations of our understanding of the universe.
![The study demonstrates that precision in extracting [latex]\rho_8(m_b)[/latex] from the Artru-Collins asymmetry in [latex]\chi_{b2}[/latex] decay at Belle II increases with integrated luminosity, though this extraction differs significantly depending on whether [latex]\chi_{b2}[/latex] is produced in the laboratory frame (represented by the blue band) or the center-of-mass frame (orange band), highlighting a crucial dependency in decay analysis.](https://arxiv.org/html/2603.18874v1/x4.png)
A novel analysis of particle spins in bottomonium decays offers a promising path towards a more precise understanding of how quarks bind together, resolving long-standing theoretical discrepancies.
![The study delineates gravitational mass-radius relationships for non-rotating, isentropic stars, demonstrating how varying entropy-specifically at [latex]S=1[/latex] and [latex]S=2[/latex]-and the inclusion or exclusion of neutrino trapping impacts stellar structure, with resulting models constrained by observational data from pulsars PSR J0030+0451 and PSR J0740+6620.](https://arxiv.org/html/2603.19085v1/figures/MR_LS50_GV10_rhot51_Iso_Ye04_NICER.png)
New research reveals that trapped neutrinos play a crucial role in determining the composition and properties of hybrid stars-celestial bodies containing both normal and exotic quark matter.
![The study demonstrates how the combined abundance of dark matter candidates-represented by [latex]\Omega_{\chi}[/latex] and [latex]\Omega_{s}[/latex]-varies with their respective masses, revealing a parameter space consistent with Planck observations and defined by the fractional abundances [latex]\xi_{\chi,s} = \Omega_{\chi,s} / \Omega_{DM}[/latex] as determined from a full parameter-space scan and benchmarked in Tab. 1.](https://arxiv.org/html/2603.18158v1/x2.png)
A new study delves into the possibility of dark matter being comprised of multiple interacting particles within an extension of the Two-Higgs-Doublet Model.