WKB structure in a scalar model of flat bandsWe consider a family of periodic scalar operators for which one can define flat bands in the sense of Floquet-Bloch theory. One puzzling question originating in recent physics literature is a…Semyon Dyatlov, Henry Zeng, Maciej Zworski·Aug 25, 2025SaveLearn
Retracts of degenerate solutions of the Yang-Baxter equationMost of the set-theoretical solutions of the Yang-Baxter equation studied in the past years were non-degenerate multipermutation solutions. For degenerate solutions, a correct definition of…Přemysl Jedlička, Agata Pilitowska·Aug 25, 2025SaveLearn
Interfaces of discrete systems - spectral and index propertiesWe develop a general mathematical framework to study mixtures of different physical systems brought together on a discrete interface. Adapting work by Mantoiu et al., we use an operator algebraic…Chris Bourne·Aug 25, 2025SaveLearn
The Stationary Klein-Gordon Equation with a Delta-like Source: A Generalized Function ApproachThis work aims to initiate a discussion on finding solutions to non-homoge\-neous differential equations in terms of generalized functions. For simplicity, we conduct the analysis within the specific…J. P. Ferreira, F. E. Barone, F. A. Barone·Aug 25, 2025SaveLearn
Exact Solution for Two δ-Interacting Bosons on a Ring in the Presence of a δ-Barrier: Asymmetric Bethe Ansatz for Spatially Odd StatesIn this article, we apply the recently proposed Asymmetric Bethe Ansatz method to the problem of two one-dimensional, short-range-interacting bosons on a ring in the presence of a δ-function…Maxim Olshanii, Mathias Albert, Gianni Aupetit-Diallo et al.·Aug 24, 2025SaveLearn
Comment on 'Gauge networks in noncommutative geometry'The article (Gauge networks in noncommutative geometry, J. Geom. Phys. 75 : 71--91, 2014) that motivates this comment provides, in particular, one answer to the following natural question: what is…Carlos I. Perez-Sanchez·Aug 24, 2025SaveLearn
Special curves and Hamiltonian systems from polynomial eigenfunctions of an elliptic operatorA family of polynomials linked to the set of the deltoid tangents and its associated algebraic hypersurfaces has been presented in recent years. In this paper we study some related maximising and…Juan García Escudero·Aug 23, 2025SaveLearn
Gaussian filters in quantum lattice systems: Applications to spectral flow, local perturbations, clustering, and the quantum Hall effectWe consider the locality and spectral properties of the smearing \[ τf(A) = ∫-∞∞ dt \, f(t) \, τt(A) \] when applied to the dynamics τt of quantum spin systems. While…Sven Bachmann, Zhiqian, Du et al.·Aug 21, 2025SaveLearn
Uniform-in-temperature locality estimates for weakly interacting quantum systemsThe locality of thermal quantum states has emerged as a key input for applications to thermalization, response theory, and efficient simulability. Locality is either captured by the decay of…Arka Adhikari, Joscha Henheik, Marius Lemm et al.·Aug 21, 2025SaveLearn
Cluster Expansion and Decay of Correlations for Multidimensional Long-Range Ising ModelsWe develop the cluster expansion for the multidimensional multiscaled contours defined by three of us. These contours are suitable for long-range Ising models with interaction $Jxy=J(|x-y|)=…Lucas Affonso, Rodrigo Bissacot, João Maia et al.·Aug 21, 2025SaveLearn
Uncertainty Relation for the Wigner-Yanase Skew Information and Quantum Sobolev InequalitiesThis note explores uncertainty inequalities for quantum analogues of the Fisher information including the Wigner-Yanase skew information, and their connection to the quantum Sobolev inequalities…Laurent Lafleche·Aug 21, 2025SaveLearn
GW/DT invariants and 5D BPS indices for strips from topological recursionTopological string theory partition function gives rise to Gromov-Witten invariants, Donaldson-Thomas invariants and 5D BPS indices. Using the remodeling conjecture, which connects Topological…Sibasish Banerjee, Alexander Hock, Olivier Marchal·Aug 21, 2025SaveLearn
Equivalence of mutually unbiased bases via orbits: general theory and a d=4 case studyIn quantum mechanics, mutually unbiased bases (MUBs) represent orthonormal bases that are as "far apart" as possible, and their classification reveals rich underlying geometric structure. Given a…Amit Te'eni, Eliahu Cohen·Aug 21, 2025SaveLearn
Tropicalized quantum field theory and global tropical samplingWe explain how to tropicalize scalar quantum field theory and show that tropicalized massive scalar quantum field theory is exactly solvable. This exact solution manifests as a non-linear recursion…Michael Borinsky·Aug 19, 2025SaveLearn
Modular transformations of tau functions and conformal blocks on the torusThe connection problem for isomonodromic tau functions on the one-punctured torus concerns the ratio between the tau function and its modular transform, associated to dual pants decompositions of the…Fabrizio Del Monte, Harini Desiraju, Pavlo Gavrylenko·Aug 19, 2025SaveLearn
Properties of the temporal transfer matrix in integrable Floquet circuitsOne possible approach to studying non-equilibrium dynamics is the so-called influence matrix (IM) formalism. The influence matrix can be viewed as a quantum state that encodes complete information…Ilya Vilkoviskiy, Kirill Matirko·Aug 19, 2025SaveLearn
The subcritical finite-volume massive sine-Gordon modelWe present a construction of the finite-volume massive sine-Gordon model in the UV subcritical regime using a renormalization group method. The resulting measure has Gaussian tails, respects toroidal…Jaka Pelaič·Aug 19, 2025SaveLearn
A Kac system interacting with two heat reservoirsWe study a system formed by M particles moving in 3 dimension and interacting with 2 heat reservoirs with N>>M particles each. The system and the reservoirs evolve and interact via random…Federico Bonetto, Michael Loss, Matthew Powell·Aug 18, 2025SaveLearn
Transforming antiunitary symmetries to a normal formWe look at explicit ways to bring one or two antiunitary symmetries into a standard form via unitary conjugation. We carefully reproduce Wigner's proof in two special cases, where the antiunitary…Terry A. Loring·Aug 18, 2025SaveLearn
On the N-elliptic localized solutions to the derivative nonlinear Schr\"odinger equation and their asymptotic analysisWe parameterize the elliptic function solutions to the derivative nonlinear Schr\"odinger (DNLS) equation with four independent parameters and generate two equivalent forms of N-elliptic localized…Liming Ling, Wang Tang·Aug 18, 2025SaveLearn
On localization for the alloy-type Anderson-Bernoulli model with long-range hoppingIn this paper, we prove the Anderson localization near the spectral edge for some alloy-type Anderson-Bernoulli model on Zd with exponential long-range hopping. This extends the work of…Shihe Liu, Yunfeng Shi, Zhifei Zhang·Aug 18, 2025SaveLearn
Real-Analyticity of the Density of States for Random Schr\"odinger operators with Point InteractionsWe prove real-analyticity of the density of states (DOS) for random Schr\"odinger operators with lattice-supported point interactions in Rd (d=1,2,3) in the small-hopping regime. In the…Masahiro Kaminaga·Aug 18, 2025SaveLearn
Classical r-matrix structure for elliptic Ruijsenaars chain and 1+1 field analogue of Ruijsenaars-Schneider modelThe classical dynamical r-matrix structure for the periodic elliptic Ruijsenaars chain is described. The Poisson brackets for the monodromy matrix are calculated as well, thus providing Liouville…D. Murinov, A. Zotov·Aug 18, 2025SaveLearn
On integrability of a q-oscillator lattice with a B-boundaryIn this paper we propose a method of construction of a double layer-to-layer auxiliary transfer matrix defined on a half-plane with a boundary. The transfer matrix obtained has the following…Sergey Sergeev·Aug 18, 2025SaveLearn
On algebraic structures underlying the rational Kashiwara-Miwa-type modelsThe rational Kashiwara-Miwa model is an example of an Ising-type integrable model of the statistical physics, related to the six-vertex trigonometric R-matrix. Two-spin edge weights of the model…Sergey Sergeev·Aug 18, 2025SaveLearn