Fractality of the Schrödinger Density for Rough DataThe observable of the Talbot effect is the intensity behind the grating: the density of the evolving field, not the field itself. Its fractality was previously known only for step data with rational…Masoud Ataei·Aug 23, 2026SaveLearn
Quantitative Furstenberg Theory for Large Random MatricesWe consider the 2W× 2W transfer matrices associated to the block Anderson model with GOE potential blocks. We make the classical Lyapunov exponent theory quantitative in two ways. First, we…Reuben Drogin·Aug 23, 2026SaveLearn
On the gauge invariant boundary condition in open XXZ chains: SoV bases, elementary blocks and overlapsWe consider the open XXZ spin chain with unparallel boundary fields, in the special case in which the Vertex-IRF transform of the K-matrix labelling the boundary field at site 1 is diagonal and…G. Niccoli, V. Terras·Aug 23, 2026SaveLearn
Interacting Lattice Bosons on the Concrete Buchholz Algebra -- All-Temperature Equilibrium States from Functional-Integral Local-Number BoundsInteracting Bose--Hubbard dynamics is formulated on the concrete Buchholz algebra in Fock space. Under repulsive finite-range interactions and a low-activity gap, a discrete functional integral gives…Yoshitsugu Sekine·Aug 23, 2026SaveLearn
TENSKEL: A Combinatorial Observable Tensor for Structured Measurement and ReconstructionMany imaging problems seek to reconstruct underlying configurations from partial observable measurements. While reconstruction algorithms operate on these measurements, the observable organization…Yvan Richard·Aug 22, 2026SaveLearn
Finite-term recurrences in a generalized Bochner--Krall familyWe classify the differential operators \(T=zj∂zj+zm∂z\), where \(0 m<\) and \(1 j<\), whose monic eigenpolynomials satisfy a finite-term recurrence relation.…L. M. Anguas, D. Barrios Rolanía, B. Shapiro et al.·Aug 22, 2026SaveLearn
How Much Geometry Does Newtonian Dynamics Fix?Newtonian mechanics is usually written on a spacetime of fixed geometry. Here we build that geometry, introducing a propagator and a bilinear form only as the description demands. Within this…C S López-Monsalvo·Aug 21, 2026·Top 83%SaveLearn
The spin-1/2 Heisenberg XXZ chain and the Lorentz mirror model with loop weight 2We prove that for the spin-1/2 Heisenberg XXZ chain in the range Δ∈[-1,1/2], the ground state on the torus of length L converges to an infinite volume ground state · as…Kieran Ryan·Aug 21, 2026·Top 6%SaveLearn
Spectral gaps for mean-field Coulomb gasesWe prove a Poincaré inequality, uniform in the particle number, for repulsive (one-component) Coulomb gases in dimensions d3, with inverse temperature βN that is allowed to depend on N. We…Simon Becker, Angeliki Menegaki·Aug 21, 2026·Top 39%SaveLearn
The transverse matter HamiltonianEnrico Fermi in 1932 used classical Gauss equation to derive the Coulomb density--density interaction from the longitudinal electromagnetic potential. In this work we extend the Fermi procedure to…Andrea Marini, Kai Wu, Riccardo Reho·Aug 21, 2026·Top 70%SaveLearn
Axiomatization of the Levin--Wen Wave FunctionThe Levin--Wen model provides a lattice realization of topological orders associated with a given unitary fusion category. A longstanding open problem is to characterize Levin--Wen ground-state wave…Zhengwei Liu, Zishuo Zhao·Aug 21, 2026·Top 15%SaveLearn
Bethe-root configurations and spectral degeneracy in the open XXZ chain with degenerate boundariesWe investigate the structure of Bethe-root configurations in the spin-1/2 XXZ chain with degenerate open boundaries. The physical solutions of the Bethe Ansatz equations are classified into three…Shizhang Wu, Shu Chen, Junpeng Cao et al.·Aug 21, 2026·Top 92%SaveLearn
On quantum channels: extreme points, topology, and categorical propertiesIn this thesis, quantum channels are studied from the point of view of Mathematics. We studied the CPTP (completely positive trace preserving) and UCPTP channels, the latter being the unital…J. M. S. T. da Silva·Aug 21, 2026·Top 48%SaveLearn
The Landau-Dirac operator with shell interactions: self-adjointness and clusteringWe consider the two-dimensional Dirac operator with constant magnetic field that is perturbed by a combination of electrostatic and Lorentz-scalar delta interactions with variable coefficients…Badreddine Benhellal, Vincent Bruneau, Pablo Miranda·Aug 21, 2026·Top 19%SaveLearn
Moore--Read construction and explicit monodromies of Laughlin states on Riemann surfacesWe revisit the Moore--Read construction of the ν=1/k Laughlin states on compact Riemann surfaces, deriving their conformal blocks from U(1)k Chern--Simons theory through the CS/WZW…Kiyoon Eum·Aug 20, 2026·Top 71%SaveLearn
Gaudin models for some classical multivariate distributionsRepresentations of the Kohno-Drinfeld Lie algebra associated with several classical multivariate distributions have played an important role in recent developments in the theory of quantum…Plamen Iliev·Aug 19, 2026·Top 63%SaveLearn
Cluster Representation of Renormalization Group Transformations and a Rigorous Proof for Convergence of the RG-Flow of the Ising Model to Trivial Fixed Points away from CriticalityMany rigorous results in the modern era of statistical mechanics have been obtained through geometrical representations. A much studied tool in this setting is the random cluster representation of…Fabio Arz·Aug 19, 2026·Top 9%SaveLearn
A hypercomplex partition function for dissipative quantum field theoryWe develop a finite-temperature formulation for a hypercomplex dissipative quantum field theory [1], using the imaginary-time path-integral approach and the idempotent structure of the hypercomplex…O. Cruz-Limón, C. Ramírez-Romero, R. Cartas-Fuentevilla·Aug 19, 2026·Top 86%SaveLearn
The Decoherence Exponent: Stable Phase Noise and Constraints on Objective State ReductionLet Lu be a symmetric Levy process representing an unobserved phase lift, coupling to a quantum system via charge Q. Averaging eiLuQ gives a completely positive dephasing semigroup. If the…Milen V. Velev, Ivo D. Dinov·Aug 18, 2026·Top 13%SaveLearn
Cohomology for solutions of polygon equationsPolygon equations form a family of equations generalizing the pentagon equation. In this paper, we construct semi-simplicial sets of permitted colorings associated with set-theoretic solutions of…Serban Matei Mihalache, Tomoro Mochida·Aug 18, 2026·Top 16%SaveLearn
Romanovski polynomials, Gegenbauer connections, and su(1,1) ladder structuresWe study the monic Romanovski (pseudo-Jacobi) polynomials corresponding to the degree dependent parameters βK=-K, αK=c/(K+1), with K=n+. We write down, in explicit form, the parameter…José A. Vallejo, Mariana Kirchbach·Aug 18, 2026·Top 82%SaveLearn
A Projected Semiexplicit Integrator for Dissipative Systems with Configuration-Dependent Kinetic Energy: Contact-Herglotz Formulation and BenchmarksContact Hamiltonian dynamics gives dissipative mechanics an intrinsic action variable, but explicit contact splittings reach only kinetic energies whose terms are exactly integrable:…Lorena Loera-Galeana, Santiago Mejía, Espartaco Alvarado et al.·Aug 17, 2026·Top 62%SaveLearn
Asymptotic analysis of a Fredholm determinant occurring in the description of the dynamical correlation functions of the Lieb--Liniger Bose gasWe perform a large-x asymptotic analysis of the Fredholm determinant of an integrable integral operator with generalized sine kernel, where x controls the strength of the oscillations along the…Frank Göhmann, Karol K. Kozlowski, Mikhail D. Minin·Aug 17, 2026·Top 3%SaveLearn
Symmetry-Fixed Holonomies and Spectral Isolation in Two-Cycle Photonic Geometries A Square Parent Manifold for a Qubit and a Hexagonal Qutrit ManifoldA system with two periodic directions carries two commuting holonomies \(a=(u,v)∈2/2\). We determine their distinguished values while separating lattice, arithmetic, and observable effects.…Michel Planat·Aug 17, 2026SaveLearn
Quantized Bertrand models on two-dimensional spaces of constant curvatureDiscussed are Bertrand systems on two-dimensional spaces of constant curvature, i.e. sphere and pseudosphere (Lobachevsky space). These models often involve applying quantization techniques, such as…Agnieszka Martens·Aug 16, 2026SaveLearn