Strong Kantorovich duality for quantum optimal transport with generic cost and optimal couplings on quantum bitsWe prove Kantorovich duality for a linearized version of a recently proposed non-quadratic quantum optimal transport problem, where quantum channels realize the transport. As an application, we…Gergely Bunth, József Pitrik, Tamás Titkos et al.·Oct 30, 2025SaveLearn
Quantum Dynamical Bounds for Quasi-Periodic Operators with Liouville FrequenciesWe establish quantum dynamical upper bounds for quasi-periodic Schr\"odinger operators with Liouville frequencies. Our approach combines semi-algebraic discrepancy estimates for the Kronecker…Matthew Bradshaw, Titus de Jong, Wencai Liu et al.·Oct 29, 2025SaveLearn
Topological index formula in physical waves: spectral flow, Chern index and topological contactsWe study a family of pseudodifferential operators (quantum Hamiltonians) on L2(Rn;Cd) whose spectrum exhibits two energy bands exchanging a finite number of eigenvalues.…Léon Monnier, Frédéric Faure·Oct 29, 2025SaveLearn
Critical temperatures and collapsing of two-dimensional Log gasesWe consider the canonical ensemble of a system of point particles on the sphere interacting via a logarithmic pair potential. In this setting, we study the associated Gibbs measure and partition…Rolf Andreasson, Ludvig Svensson·Oct 29, 2025SaveLearn
On a wave kinetic equation with resonance broadening in oceanography and atmospheric sciencesIn this work, we study a three-wave kinetic equation with resonance broadening arising from the theory of stratified ocean flows. Unlike Gamba-Smith-Tran(On the wave turbulence theory for stratified…Young Ho Kim, Yuri V. Lvov, Leslie M. Smith et al.·Oct 28, 2025SaveLearn
Group theoretic quantization of punctured planeWe quantize punctured plane, X=R2-\0\, employing Isham's group theoretic quantization procedure. After sketching out a brief review of group theoretic quantization procedure, we apply…Manvendra Somvanshi, D. Jaffino Stargen·Oct 28, 2025SaveLearn
Foundations of Double Operator Integrals with a Variant Approach to the Nonseparable CaseWe aim to give a self-contained and detailed yet simplified account of the foundations of the theory of double operator integrals, in order to provide an accessible entry point to the theory. We make…Robert Ferydouni, Daniel D. Spiegel·Oct 28, 2025SaveLearn
How to Build Anomalous (3+1)d Topological Quantum Field TheoriesWe develop a systematic framework for constructing (3+1)-dimensional topological orders or topological quantum field theories (TQFTs) that realize specified anomalies of finite symmetries, as…Arun Debray, Weicheng Ye, Matthew Yu·Oct 28, 2025SaveLearn
Fields of covariances on non-commutative probability spaces in finite dimensionsWe introduce the notion of a field of covariances, a contravariant functor from non-commutative probability spaces to Hilbert spaces, as the natural categorical analogue of statistical covariance. In…Florio M. Ciaglia, Fabio Di Cosmo, Laura González-Bravo·Oct 28, 2025SaveLearn
Toward a Physical Interpretation of Phase Field Models with Dynamic Boundary ConditionsIn recent decades, considerable research has been devoted to partial differential equations (PDEs) with dynamic boundary conditions. However, the physical interpretation of the parameters involved…Xiaobo Jing, Qi Wang·Oct 28, 2025SaveLearn
Liquid-vapor transition in a model of a continuum particle system with finite-range modified Kac pair potentialWe prove the existence of a phase transition in dimension d>1 in a continuum particle system interacting with a pair potential containing a modified attractive Kac potential of range γ-1,…Qidong He, Ian Jauslin, Joel Lebowitz et al.·Oct 28, 2025SaveLearn
Variational problem and Hamiltonian formulation of the Lagrange-d'Alembert equations with nonlinear nonholonomic constraintsAny given system of ordinary differential equations in n-dimensional configuration space can be obtained from a peculiar variational problem with one local symmetry. The obtained action functional…Alexei A. Deriglazov·Oct 28, 2025SaveLearn
A Remarkable Application of Zassenhaus Formula to Strongly Correlated Electron SystemsWe show that the Zassenhaus decomposition for the exponential of the sum of two non-commuting operators, simplifies drastically when these operators satisfy a simple condition, called the no-mixed…Louis Jourdan, Patrick Cassam-Chenaï·Oct 28, 2025SaveLearn
On Geometry of Dissipation in Multiscale Dynamics and ThermodynamicsThis manuscript introduces novel approaches to three phenomena. First, we extend the algebraic formulation of kinetic theory within the contact framework by making explicit the gauge freedom, thereby…Begüm Ateşli, Oğul Esen, Miroslav Grmela et al.·Oct 28, 2025SaveLearn
Peierls Instability in Hexagonal LatticesWe investigate a conventional tight-binding model for graphene, where distortion of the honeycomb lattice is allowed, but penalized by a quadratic energy. We prove that the optimal 3-periodic lattice…David Gontier, Thaddeus Roussigné, Éric Séré·Oct 28, 2025SaveLearn
Instability of Numerical Method for Micromagnetics Simulations with Large Damping ParametersWe propose and implement a third-order accurate numerical scheme for the Landau-Lifshitz-Gilbert equation, which describes magnetization dynamics in ferromagnetic materials under large damping…Changjian Xie, Cheng Wang·Oct 28, 2025SaveLearn
Finite-Rank Optimizers for the mass--supercritical Lieb--Thirring and Hardy--Lieb--Thirring InequalitiesWe establish the existence of finite-rank operators for an interpolation version of the Lieb--Thirring inequality in the mass--supercritical case, thereby extending a result of Hong, Kwon, and Yoon…Giao Ky Duong, Thi Minh Thao Le, Phan Thành Nam et al.·Oct 28, 2025SaveLearn
On Symmetry-Compatible Superselection Structures for Product States in 2D Quantum Spin SystemsWe study superselection sectors in two-dimensional quantum spin systems with an on-site action of a compact abelian group G. Naaijkens and Ogata (2022) arXiv:2102.07707 showed that for states…Matthew Corbelli·Oct 27, 2025SaveLearn
Crystallization of discrete N-particle systems at high temperatureThis is the second paper in a series studying the global asymptotics of discrete N-particle systems with inverse temperature parameter θ in the high temperature regime. In the first paper,…Cesar Cuenca, Maciej Dołęga·Oct 27, 2025SaveLearn
Renormalized Energy and Vortex Interaction in Finsler Ginzburg-Landau ModelsWe develop a Finsler Ginzburg--Landau framework for the analysis of vortex interactions in anisotropic superconductors. Within this setting, the Finsler structure encodes directional dependence of…Y. Alipour Fakhri·Oct 27, 2025SaveLearn
Super Higher-Teichm\"uller Geometry and Loop AmplitudesWe construct a supersymmetric extension of the Fock-Goncharov cluster ensemble associated with a split basic classical Lie supergroup G and a marked bordered surface S. The resulting structure…Chaoming Song·Oct 26, 2025SaveLearn
Dynamics of the semi-discrete Gardner equation under two types of non-vanishing boundary conditions: heteropolar solitons and kinksIn this work, we will use inverse scattering transform to study the semi-discrete Gardner equation under two types of non-vanishing boundary conditions, and investigate two interesting nonlinear…Jia-Xue Niu, Yan-Nan Zhao, Rui Guo et al.·Oct 26, 2025SaveLearn
r-Matrices for integrable systemsWe consider some algebraic and geometric aspects of the theory of integrable systems in finite dimensions, associated with the existence of a classical r-matrix, first introduced by Sklyanin as the…Marta Dell'Atti·Oct 25, 2025SaveLearn
Conformally symplectic Chaplygin reduction in rubber rolling of surfaces of revolution over the planeRubber rolling (no-slip and no-twist) of a convex body on the plane under the influence of gravity is a SE(2) Chaplygin system, that reduces to the sphere of Poisson vectors. I comment upon an…Jair Koiller·Oct 24, 2025SaveLearn
Quantum Difference Equations for GrassmanniansWe consider quantum difference equation (QDE) for equivariant quantum K-theory of the Grassmannian. In this paper we obtain a solution to the QDE and use the solution to asymptotically derive the…Xingyu Cheng, Reese Lance, Nikhil Nagabandi et al.·Oct 24, 2025SaveLearn