RG analysis of spontaneous stochasticity on a fractal lattice: stability and bifurcationsIn this paper, we study the stability and bifurcations of spontaneous stochasticity using an approach reminiscent of the Feigenbaum renormalization group (RG). We consider dynamical models on a…Alexei A. Mailybaev·Oct 18, 2024SaveLearn
WKB Methods for Finite Difference Schrodinger EquationsIn this thesis, we develop WKB techniques for the finite difference Schrodinger equation, following the construction of the WKB approach for the standard differential Schrodinger equation. In…Salvatore Baldino·Oct 18, 2024SaveLearn
The Bogoliubov-Bose-Hubbard model: existence of minimizers and absence of quantum phase transitionWe consider a variational approach to the Bose-Hubbard model based on Bogoliubov theory. We introduce the grand canonical and canonical free energy functionals for which we prove the existence of…Norbert Mokrzański, Marcin Napiórkowski·Oct 18, 2024SaveLearn
Boundary conditions and violations of bulk-edge correspondence in a hydrodynamic modelBulk-edge correspondence is a wide-ranging principle that applies to topological matter, as well as a precise result established in a large and growing number of cases. According to the principle,…Gian Michele Graf, Alessandro Tarantola·Oct 17, 2024SaveLearn
An algebraic study of parametric Stokes phenomenaWe investigate geometric aspects of co-equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve.…Inês Aniceto, Samuel Crew·Oct 17, 2024SaveLearn
Direct proof of one-hook scaling property for Alexander polynomial from Reshetikhin-Turaev formalismWe prove that normalized colored Alexander polynomial (the A → 1 limit of colored HOMFLY-PT polynomial) evaluated for one-hook (L-shape) representation R possesses scaling property: it is…Andrey Morozov, Aleksandr Popolitov, Alexei Sleptsov·Oct 17, 2024SaveLearn
Generating function for quantum depletion of Bose-Einstein condensatesWe consider a Bose gas on the unit torus at zero temperature in the Gross-Pitaevskii regime, known to perform Bose-Einstein condensation: a macroscopic fraction of the bosons occupy the same quantum…Simone Rademacher·Oct 17, 2024SaveLearn
Further Evidence for Near-Tsirelson Bell-CHSH Violations in Quantum Field Theory via Haar WaveletsThis paper investigates a recent construction using bumpified Haar wavelets to demonstrate explicit violations of the Bell-Clauser-Horne-Shimony-Holt inequality within the vacuum state in quantum…David Dudal, Ken Vandermeersch·Oct 17, 2024SaveLearn
Representation of Linear Waves in Inhomogeneous MediaThe article explores the acoustic equations in inhomogeneous media and the linearized shallow water equations. Two methods for integrating these equations are proposed. The first method is based on…O. V. Kaptsov·Oct 17, 2024SaveLearn
Pair Space in Classical Mechanics I. The Three-Body ProblemI introduce an extended configuration space for classical mechanical systems, called pair-space, which is spanned by the relative positions of all the pairs of bodies. To overcome the…Alon Drory·Oct 16, 2024SaveLearn
Pair Space in Classical Mechanics II. N-Body Central ConfigurationsA previous work introduced pair space, which is spanned by the center of mass of a system and the relative positions (pair positions) of its constituent bodies. Here, I show that in the N-body…Alon Drory·Oct 16, 2024SaveLearn
Resonances and resonance expansions for point interactions on the half-spaceIn this paper we describe the resonances of the singular perturbation of the Laplacian on the half space = R3+ given by the self-adjoint operator named δ-interaction. We will…Diego Noja, Francesco Raso Stoia·Oct 16, 2024SaveLearn
Smooth Geometry of Diffusion AlgebrasIn this paper, we study the differential smoothness of diffusion algebras.Andrés Rubiano, Armando Reyes·Oct 16, 2024SaveLearn
Quantifying quantum coherence and the deviation from the total probability formulaWe propose a novel approach to quantify quantum coherence which, contrary to the previous ones, does not rely on resource theory but rather on ontological considerations. In this framework, coherence…Antoine Soulas·Oct 16, 2024SaveLearn
Minimal models for minimal BCOV theoriesMinimal BCOV theory is a classical field theory which describes a subclass of deformations of the category of perfect complexes on a Calabi-Yau variety. We compute minimal models for…Surya Raghavendran, Philsang Yoo·Oct 15, 2024SaveLearn
The BV construction for finite spectral triplesThis article presents how the BV formalism naturally inserts in the framework of noncommutative geometry for gauge theories induced by finite spectral triples. Reaching this goal entails that not…Roberta Anna Iseppi·Oct 15, 2024SaveLearn
Probabilistic Principles for Biophysics and Neuroscience: Entropy Production, Bayesian Mechanics & the Free-Energy PrincipleThis thesis focuses on three fundamental aspects of biological systems; namely, entropy production, Bayesian mechanics, and the free-energy principle. The contributions are threefold: 1) We compute…Lancelot Da Costa·Oct 15, 2024SaveLearn
Mathematical Foundation of the UN(1) Quantum Geometric TensorIn this paper, we systematically establish the mathematical foundation for the UN(1) quantum geometric tensor (QGT) of mixed states Explicitly, we present a description based on the…Xin Wang, Xu-Yang Hou, Jia-Chen Tang et al.·Oct 15, 2024SaveLearn
Metriplectic formulations of variational thermodynamicsWe propose a metriplectic reformulation of Lagrangian variational formulations for non-equilibrium thermodynamics. We prove that solutions to these constrained variational principles can be generated…Valentin Carlier·Oct 15, 2024SaveLearn
Existence of long-range order in random-field Ising model on Dyson hierarchical latticeWe study the random-field Ising model on a Dyson hierarchical lattice, where the interactions decay in a power-law-like form, J(r) r-α, with respect to the distance. Without a random…Manaka Okuyama, Masayuki Ohzeki·Oct 15, 2024SaveLearn
Heteroclinic for a 6-dimensional reversible system occuring in orthogonal domain walls in convectionA six-dimensional reversible normal form system occurs in B\'enard-Rayleigh convection between parallel planes, when we look for domain walls intersecting orthogonally (see Buffoni et al [1]). On…Gérard Iooss·Oct 15, 2024SaveLearn
Response theory for locally gapped systemsWe introduce a notion of a local gap for interacting many-body quantum lattice systems and prove the validity of response theory and Kubo's formula for localized perturbations in such…Joscha Henheik, Tom Wessel·Oct 14, 2024SaveLearn
Barcelos-Wotzasek symplectic algorithm for constrained systems revisitedA minor change in the Barcelos-Wotzasek (BW) symplectic algorithm for constrained systems is proposed. The change addresses some criticism that formalism has received, placing it on the same footing…M. A. de Andrade, C. Neves, E. V. Corrêa Silva·Oct 14, 2024SaveLearn
Transparent boundary conditions for the stationary Schroedinger equation via Weyl-Titchmarsh theoryWe propose a general approach for deriving transparent boundary conditions for the stationary Schroedinger equation with arbitrary potential. It is proven that the transparent boundary conditions can…V. A. Derkach, C. Trunk, J. R. Yusupov et al.·Oct 14, 2024SaveLearn
DLR Equations for the Superstable Bose Gas at any Temperature and ActivityWe construct a thermodynamic limit for the grand canonical Bose gas in dimension d≥slant1 (in its Feynman-Kac representation) with superstable interaction at any inverse temperature β>0…Guillaume Bellot, David Dereudre, Mylène Maïda·Oct 14, 2024SaveLearn