New series of multi-parametric solutions to GYBE: quantum gates and integrabilityWe obtain two series of spectral parameter dependent solutions to the generalized Yang-Baxter equations (GYBE), for definite types of N12× N22 matrices with general dimensions N1 and…Shahane A. Khachatryan·Aug 7, 2023SaveLearn
Multifield asymptotic homogenization scheme for periodic Cauchy materials in non-standard thermoelasticityThis article presents a multifield asymptotic homogenization scheme for the analysis of Bloch wave propagation in non-standard thermoelastic periodic materials, leveraging on the Green-Linsdsay…Rosaria Del Toro, Maria Laura De Bellis, Marcello Vasta et al.·Aug 6, 2023SaveLearn
Asymptotic freedom in the lattice Boltzmann theoryAsymptotic freedom is a feature of quantum chromodynamics that guarantees its well-posedeness. We derive an analog of asymptotic freedom enabling unconditional stability of lattice Boltzmann…Seyed Ali Hosseini, Ilya Karlin·Aug 6, 2023SaveLearn
Quantization of conductance and the coarse cohomology of partitionsWe demonstrate how integer quantization of Hall conductance arises from the large-scale geometry of the sample. Specifically, the Hall conductance is a higher-trace pairing of the Fermi projection…Matthias Ludewig, Guo Chuan Thiang·Aug 5, 2023SaveLearn
Boundary effects and the stability of the low energy spectrum of the AKLT modelIn this paper we study the low-lying spectrum of the AKLT model perturbed by small, finite-range potentials and with open boundary conditions imposed at the edges of the chain. Our analysis is based…Simone Del Vecchio, Jürg Fröhlich, Alessandro Pizzo et al.·Aug 5, 2023SaveLearn
The Painlev\'e-type asymptotics of defocusing complex mKdV equation with finite density initial dataWe consider the Cauchy problem for the defocusing complex mKdV equation with finite density initial data align* &qt+12qxxx-3|q|2qx=0,\\ &q(x,0)=q0(x) 1, \ x…Lili Wen, Engui Fan·Aug 4, 2023SaveLearn
Hamiltonian structure of isomonodromic deformation dynamics in linear systems of PDE'sThe Hamiltonian approach to isomonodromic deformation systems for generic rational covariant derivative operators on the Riemann sphere, having any matrix dimension r and any number of isolated…J. Harnad·Aug 3, 2023SaveLearn
Triple-Spherical Bessel Function Integrals with Exponential and Gaussian Damping: Towards an Analytic N-Point Correlation Function Covariance ModelSpherical Bessel functions appear commonly in many areas of physics wherein there is both translation and rotation invariance, and often integrals over products of several arise. Thus, analytic…Jessica Chellino, Zachary Slepian·Aug 3, 2023SaveLearn
Self-Dual Maxwell Fields from Clifford AnalysisThe study of complex functions is based around the study of holomorphic functions, satisfying the Cauchy-Riemann equations. The relatively recent field of Clifford Analysis lets us extend many…Calum Robson·Aug 3, 2023SaveLearn
A class of 2x2 correlated random-matrix models with Brody spacing distributionA class of 2x2 random-matrix models is introduced for which the Brody distribution is the exact eigenvalue spacing distribution. The matrix elements consist of constrained finite sums of an…Jamal Sakhr·Aug 3, 2023SaveLearn
On a bulk gap strategy for quantum lattice modelsEstablishing the (non)existence of a spectral gap above the ground state in the thermodynamic limit is one of the fundamental steps for characterizing the topological phase of a quantum lattice…Amanda Young·Aug 2, 2023SaveLearn
On λ-determinants and tiling problemsWe review the connections between the octahedral recurrence, λ-determinants and tiling problems. This provides in particular a direct combinatorial interpretation of the λ-determinant…Jean-François de Kemmeter, Nicolas Robert, Philippe Ruelle·Aug 2, 2023SaveLearn
On representations of the Helmholtz Green's functionWe consider the free space Helmholtz Green's function and split it into the sum of oscillatory and non-oscillatory (singular) components. The goal is to separate the impact of the singularity of the…Gregory Beylkin·Aug 2, 2023SaveLearn
θ-splitting Densities and Reflection PositivityA simple condition is given that is sufficient to determine whether a measure that is absolutely continuous with respect to a Gauian measure on the space of distributions is reflection positive.…Jobst Ziebell·Aug 2, 2023SaveLearn
Lorentzian bordisms in algebraic quantum field theoryIt is shown that every algebraic quantum field theory has an underlying functorial field theory which is defined on a suitable globally hyperbolic Lorentzian bordism pseudo-category. This means that…Severin Bunk, James MacManus, Alexander Schenkel·Aug 2, 2023SaveLearn
Eigenvectors of Toeplitz matrices from Fisher-Hartwig symbols with greater than, or equal to, one singularityAsymptotically, we analytically derive the form of eigenvectors for two Fisher-Hartwig symbols besides those which were previously investigated in a 2016 work due to Movassagh and Kadanoff, in…Pete Rigas·Aug 2, 2023SaveLearn
Chiral Random Band Matrices at Zero EnergyWe present a special model of random band matrices where, at zero energy, the famous Fyodorov and Mirlin N-conjecture can be established very simply.Jacob Shapiro·Aug 2, 2023SaveLearn
Supersymmetric extension of universal enveloping vertex algebrasIn this paper, we study the construction of the supersymmetric extensions of vertex algebras. In particular, for N = n ∈ Z+, we show the universal enveloping N = n supersymmetric…Uhi Rinn Suh, Sangwon Yoon·Aug 1, 2023SaveLearn
On plane oscillations of the cold plasma in a constant magnetic fieldWe consider a class of two-dimensional solutions of the cold plasma equations compatible with a constant magnetic field and a constant electric field. For this class, under various assumptions about…Olga S. Rozanova·Aug 1, 2023SaveLearn
An Introduction to Lieb's Simplified approach to the Bose gasThis is a book about Lieb's Simplified approach to the Bose gas, which is a family of effective single-particle equations to study the ground state of many-body systems of interacting Bosons. It was…Ian Jauslin·Aug 1, 2023SaveLearn
Exponential decay of the critical points in a discrete model of polyacetyleneIn this paper we consider stationary states of the SSH model for infinite polyacetylene chains that are homoclinic or heteroclinic connections between two-periodic dimerized states. We prove that…David Gontier, Adechola E. K. Kouande, Éric Séré·Jul 31, 2023SaveLearn
Baxter operators in Ruijsenaars hyperbolic system III. Orthogonality and completeness of wave functionsIn the previous paper we showed that the wave functions of the quantum Ruijsenaars hyperbolic system diagonalize Baxter Q-operators. Using this property and duality relation we prove orthogonality…N. Belousov, S. Derkachov, S. Kharchev et al.·Jul 31, 2023SaveLearn
Orbifolds of topological quantum field theoriesThe orbifold construction via topological defects in quantum field theory can either be understood as a state sum construction internal to a given ambient theory, or as the procedure of (identifying…Nils Carqueville·Jul 31, 2023SaveLearn
A Lagrangian formulation for the Oldroyd B fluid and the second principle of thermodynamicsWe show that the Oldroyd B fluid model is the Eulerian form of a Lagrangian model with an internal variable that satisfies the second law of thermodynamics under some conditions on the initial value…Hervé Le Dret, Annie Raoult·Jul 31, 2023SaveLearn
Quantum Optimal Transport: Quantum Channels and QubitsThese notes are based on the lectures given by the second author at the School on Optimal Transport on Quantum Structures at Erd\"os Center in September 2022. The focus of the exposition is on two…Giacomo De Palma, Dario Trevisan·Jul 30, 2023SaveLearn