328 papers
This paper establishes a unified canonical framework linking the Maximal Entropy Simple Symmetric Exclusion Process to both Unitary Dyson Brownian Motion and Free Unitary Brownian Motion by leveraging Schur polynomials and symmetric group characters to derive explicit spectral decompositions and hydrodynamic limits that reveal entropic forces and nonlinear transport equations.
This paper establishes a theoretical framework for stellarator coil winding surfaces that proves a dichotomy principle for current distributions on toroidal shapes and demonstrates that oppositely oriented currents on piecewise cylindrical surfaces generate center and saddle point regions with predominantly periodic field lines, offering key insights for optimizing coil design.
This paper establishes the existence of nonlinear wave operators and proves small-data asymptotic completeness for the Maxwell-Higgs system with scalar potential on subextremal Kerr spacetimes by constructing a gauge-invariant scattering map that relies on a transfer principle from linear estimates, provided the absence of superradiant instability.
This study presents a grid-agnostic volume of fluid method for compressible multiphase flows that employs an ant-diffusive volumetric body force for interface sharpening and surface tension modeling, demonstrating accurate validation against analytical solutions and experimental data across various flow regimes.
This paper generalizes Backhausz and Szegedy's result on the infinite regular tree by proving that the Gaussian wave is the unique typical process with Green's function covariance for any infinite tree of finite cone type satisfying mild expansion, thereby establishing the convergence of local eigenvector distributions to the Gaussian wave for random bipartite biregular graphs and generic configuration models.
This paper realizes homological blocks of knot complements as half-indices of 3d theories via inverted Habiro series, demonstrating that specific integration contours capture abelian flat connections while alternative pole selections yield colored Jones polynomials.
This paper demonstrates that while the combination of Hamiltonian evolution and dissipation in unital quantum Markov semigroups can initially violate complete modified logarithmic Sobolev inequalities, exponential relative entropy decay eventually re-emerges at finite timescales, with a rate inversely bounded by the dissipative strength in the regime of "self-restricting noise" where strong damping suppresses noise spreading.
This paper proves that the fast mode dynamics in quantum operator evolution exhibit emergent random matrix universality within the Krylov space recursion method, leading to universal Green's function scaling forms in both chaotic and non-chaotic systems and enabling a new spectral bootstrap technique for approximating spectral functions.
This paper proposes a definition for the statistical complexity of single-mode bosonic quantum channels as the maximum complexity they can generate from a minimal-complexity input state, and demonstrates its application by evaluating both Gaussian and non-Gaussian channels using information-theoretic quantities derived from the Husimi Q-function.
This paper demonstrates that the semiclassical Einstein equations naturally emerge from the proportionality between quantum relative entropy and horizon area variations, thereby generalizing Jacobson's thermodynamic derivation by replacing classical entropy with well-defined quantum information measures.
Challenging previous conclusions that curvature enhances entanglement, this paper demonstrates that while increasing curvature in de Sitter spacetime strengthens correlations between local field modes, it paradoxically decreases their entanglement, revealing a qualitative alteration of the vacuum's entanglement structure by the cosmological constant.
This paper develops a theory of quantum cellular automata over arbitrary commutative rings and uses algebraic K-theory to construct a spectrum that classifies these automata up to quantum circuits and stabilization, revealing a deep connection between their classification on Euclidean lattices and the K-theory of Azumaya algebras.
This paper elucidates the symmetry structure of general spin-boson Hamiltonians to derive their exact spectra, a result that is numerically demonstrated for the two-mode case.
This paper demonstrates a method for certifying genuine randomness in a black-box setting without relying on assumptions about data generation or a random seed, thereby provably preventing any deterministic adversary from successfully faking random outcomes using single particle state measurements.
This paper unifies the understanding of Strong Zero Modes (SZMs) by revealing their underlying commutant algebra structures, which not only demystifies their connection to ground state phases but also enables the construction of integrability-breaking models that preserve exact SZMs, while distinguishing between SZMs that survive such perturbations and those that do not.
This paper introduces Fredholm integral operators involving Airy functions that commute with Hamiltonians of quantum systems featuring quartic potentials, offering a framework for high-accuracy numerical analysis and dual descriptions of these systems as infinite one-dimensional chains.
This paper introduces HERB, a unified thermomechanically consistent framework driven by the Rice-Beltz concept that integrates hydrogen transport, dislocation emission, and void growth to reconcile multiple hydrogen embrittlement mechanisms (HEDE, HELP, NVC, and HESIV) within a single multiscale model.
This paper derives exact, convergent representations for multiloop sunset Feynman integrals in two dimensions with arbitrary masses and all loop orders, utilizing symmetric polynomials and dimension-raising relations to facilitate high-precision numerical evaluation and the systematic reconstruction of four-dimensional results.
This paper presents a comprehensive review of Multiparty Quantum Key Agreement (MQKA) by organizing protocols along three axes—network architecture, quantum resources, and security models—to analyze fairness trade-offs, classify existing schemes, and propose a research roadmap for future quantum internet deployments.
This study employs a transfer-matrix framework to investigate electron transport in strained graphene subjected to electrostatic and magnetic barriers, revealing that the interplay of mechanical deformation and magnetic fields induces anomalous Klein tunnelling and enables effective modulation of electron conductance.