On some minimal characteristics in a model of a system of N particles with interactionFor the well-known model of a system of N particles with interaction (N-body problem), we consider the spatial problem of finding the minimum of the function of the kinetic energy of a system on its…Igor Pavlov·Aug 27, 2024SaveLearn
(Twisted) canonical supermultiplets and their resolutions as open-closed homotopy algebrasWe argue that some supersymmetric multiplets can naturally be equipped with the structure of an open-closed homotopy algebra. This structure is readily described through the pure spinor superfield…Simon Jonsson·Aug 27, 2024SaveLearn
Galilei covariance of the theory of Thouless pumpsThe Thouless theory of quantum pumps establishes the conditions for quantized particle transport per cycle, and determines its value. When describing the pump from a moving reference frame,…Tilman Esslinger, Gian Michele Graf, Filippo Santi·Aug 26, 2024SaveLearn
Even More Generalized Hamiltonian DynamicsWe establish the procedure to derive from an action-based variational principle the classical equations of motion in Hamiltonian phase space of a particle subject to general position and velocity…W. A. Horowitz, A. Rothkopf·Aug 26, 2024SaveLearn
A q-version of the relation between the hypercube, the Krawtchouk chain and Dicke statesIt is shown how the spin chain based on the dual q-Krawtchouk polynomials is connected to a weighted hypercube through the use of q-Dicke states. The representation theoretic underpinnings based…Pierre-Antoine Bernard, Étienne Poliquin, Luc Vinet·Aug 26, 2024SaveLearn
A New Paradigm For Scattering Theory of Linear And Nonlinear Waves: Review And Open ProblemI present a review of the recent advancements in scattering theory, which provides a unified approach to studying dispersive and hyperbolic equations with general interaction terms and data. These…Avy Soffer·Aug 26, 2024SaveLearn
The free energy of dilute Bose gases at low temperatures interacting via strong potentialsWe consider a dilute Bose gas in the thermodynamic limit and prove a lower bound on the free energy for low temperatures which is in agreement with the conjecture of Lee-Huang-Yang on the excitation…S. Fournais, L. Junge, T. Girardot et al.·Aug 26, 2024SaveLearn
The General Three-Body Problem in Conformal-Euclidean Space: Hidden Symmetries and New Properties of a Low-Dimensional SysteDespite the huge number of research into the three-body problem in physics and mathematics, the study of this problem still remains relevant both from the point of view of its broad application and…A. S. Gevorkyan, A. V. Bogdanov, V. V. Mareev·Aug 26, 2024SaveLearn
Conformal Bootstrap for surfaces with boundary in Liouville CFT. Part 1: Segal axiomsThis paper is the first part of the proof of the conformal bootstrap for Liouville conformal field theory on surfaces with a boundary, devoted to Segal's axioms in this context. We introduce the…Colin Guillarmou, Rémi Rhodes, Baojun Wu·Aug 23, 2024SaveLearn
Synthesis of the Weyl matrix on the square latticeA method for successive synthesis of the Weyl matrix on the square lattice is proposed. It allows one to compute the Weyl matrix of a large graph by adding new edges and solving elementary systems of…Dongjie Wu, ChuanFu Yang, Natalia Pavlovna Bondarenko·Aug 23, 2024SaveLearn
The scaling limit of boundary spin correlations in non-integrable Ising modelsWe consider a class of non-integrable 2D Ising models obtained by perturbing the nearest-neighbor model via a weak, finite range potential which preserves translation and spin-flip symmetry, and we…Giulia Cava, Alessandro Giuliani, Rafael Leon Greenblatt·Aug 23, 2024SaveLearn
Interval spectrum for electric quantum walk and related skew-shift CMV matricesWe show that for a family of quantum walk models with electric fields, the spectrum is the unit circle for any irrational field. The result also holds for the associated CMV matrices defined by…Fan Yang·Aug 22, 2024SaveLearn
Note on the attraction of an ellipsoid in a spherical universeA classical theorem states that two confocal ellipsoids, each of them endowed with a surface distribution of mass which is called homeoidal, exert the same Newtonian force on an exterior point if…Alain Albouy·Aug 22, 2024SaveLearn
Bihamiltonian structure of the DR hierarchy in the semisimple caseOf the two approaches to integrable systems associated to semisimple cohomological field theories (CohFTs), the one suggested by Dubrovin and Zhang and the more recent one using the geometry of the…Alexandr Buryak, Paolo Rossi·Aug 22, 2024SaveLearn
Two-Time Measurement of Entropy Transfer in Markovian Quantum DynamicsWe consider a protocol for the two-time measurement of entropic observables in quantum open systems driven out of thermal equilibrium by coupling to several heat baths. We concentrate on the…A. Joye, C. -A. Pillet·Aug 22, 2024SaveLearn
A strange five vertex model and multispecies ASEP on a ringWe revisit the problem of constructing the stationary states of the multispecies asymmetric simple exclusion process on a one-dimensional periodic lattice. Central to our approach is a quantum…Atsuo Kuniba, Masato Okado, Travis Scrimshaw·Aug 22, 2024SaveLearn
Analysis of quasi-planar defects using the Thomas--Fermi--von Weizs\"acker modelWe analyze the convergence of the electron density and relative energy with respect to a perfect crystal of a class of volume defects that are compactly contained along one direction while being of…Dharamveer Kumar, Amuthan A. Ramabathiran·Aug 21, 2024SaveLearn
On reduced basis methods for eigenvalue problems, and on its coupling with perturbation theoryIn this article, we study eigenvalue problems associated to self-adjoint operators and their approximation obtained by subspace projection, as used in the reduced basis method for instance. We…Louis Garrigue, Benjamin Stamm·Aug 21, 2024SaveLearn
Least Constraint and Contact Dynamics of Stochastic Vector BundlesThis paper investigates the contact structures and dynamics of stochastic vector bundles, leading to the formulation of the least constraint theorem. It is found that the probability space of…D. Y. Zhong, G. Q. Wang·Aug 21, 2024SaveLearn
Shape Evolution of Fluid Deformable Surfaces under Active Geometric ForcesModels for fluid deformable surfaces provide valid theories to describe the dynamics of thin fluidic sheets of soft materials. To use such models in morphogenesis and development requires to…Maik Porrmann, Axel Voigt·Aug 19, 2024SaveLearn
Isometries of the qubit state space with respect to quantum Wasserstein distancesIn this paper we study isometries of quantum Wasserstein distances and divergences on the quantum bit state space. We describe isometries with respect to the symmetric quantum Wasserstein divergence…Richárd Simon, Dániel Virosztek·Aug 19, 2024SaveLearn
Asymptotic Expansion of the Eigenvalues of a Bathtub Potential with Quadratic EndsWe consider the eigenvalues of a one-dimensional semiclassical Schr\"odinger operator, where the potential consist of two quadratic ends (that is, looks like a harmonic oscillator at each infinite…Yuzhou Zou·Aug 19, 2024SaveLearn
Two-dimensional quantum central limit theorem by quantum walksThe weak limit theorem (WLT), the quantum analogue of the central limit theorem, is foundational to quantum walk (QW) theory. Unlike the universal Gaussian limit of classical walks, deriving…Keisuke Asahara, Daiju Funakawa, Motoki Seki et al.·Aug 18, 2024SaveLearn
Infinite Bifurcations in Thomas systemIn this paper we are going to make an analytical and numerical analysis for the Thomas system. Physically, this system describes a particle, driving by a system of oscillators, dissipated by a…Idan Sorin, Michael Tulchinsky·Aug 18, 2024SaveLearn
Matrix structure of classical Z2 × Z2 graded Lie algebrasA Z2× Z2-graded Lie algebra g is a Z2× Z2-graded algebra g with a bracket [|. , . |] that satisfies certain graded…N. I. Stoilova, J. Van der Jeugt·Aug 17, 2024SaveLearn