Edge states in super honeycomb structures with PT-symmetric deformationsThe existence of edge states is one of the most vital properties of topological insulators. Although tremendous success has been accomplished in describing and explaining edge states associated with…Ying Cao, Yi Zhu·Feb 24, 2024SaveLearn
Perturbative criteria for the ergodicity of interacting dissipative quantum lattice systemsWe introduce a class of quantum Markov semigroups describing the evolution of interacting quantum lattice systems, specified either as generic qudits or as fermions. The corresponding generators,…Lorenzo Bertini, Alberto De Sole, Gustavo Posta et al.·Feb 23, 2024SaveLearn
Asymptotics of the Smallest Eigenvalue Distributions of Freud Unitary EnsemblesWe consider the smallest eigenvalue distributions of some Freud unitary ensembles, that is, the probabilities that all the eigenvalues of the Hermitian matrices from the ensembles lie in the interval…Chao Min, Liwei Wang·Feb 23, 2024SaveLearn
Disjointness of inertial KMS states and the role of Lorentz symmetry in thermalizationFor any local, translation-covariant quantum field theory on Minkowski spacetime, we prove that two distinct states that are invariant under the inertial time evolutions in different inertial…Albert Georg Passegger, Rainer Verch·Feb 22, 2024SaveLearn
Non-integrability of the rational Sasano system of type A(2)4In this paper we study the integrability of the Sasano system of type A(2)4 from the point of view of the Hamiltonian dynamics. We prove rigorously that for these values of the parameters for…Tsvetana Stoyanova·Feb 22, 2024SaveLearn
Asymmetric Relaxations Through the Lens of Information GeometryWe frame Newton's Law of Cooling as a gradient flow within the context of information geometry. This connects it to a thermodynamic uncertainty relation and the Horse-Carrot Theorem, and reveals…Alessandro Bravetti, Miguel Ángel García Ariza, Pablo Padilla·Feb 22, 2024SaveLearn
Ruijsenaars wavefunctions as modular group matrix coefficientsWe give a description of the Halln\"as--Ruijsenaars eigenfunctions of the 2-particle hyperbolic Ruijsenaars system as matrix coefficients for the order 4 element S∈ SL(2,Z) acting on the…Philippe Di Francesco, Rinat Kedem, Sergey Khoroshkin et al.·Feb 22, 2024SaveLearn
Plug-and-play analytical paradigm for the scattering of plane waves by "layer-cake" periodic systemsWe investigate the scattering of scalar plane waves in two dimensions by a heterogeneous layer that is periodic in the direction parallel to its boundary. On describing the layer as a union of…Prasanna Salasiya, Shixu Meng, Bojan B. Guzina·Feb 21, 2024SaveLearn
Quantum particle localization observables on Cauchy surfaces of Minkowski spacetime and their causal propertiesWe introduce and study a general notion of spatial localization on spacelike smooth Cauchy surfaces of quantum systems in Minkowski spacetime. The notion is constructed in terms of a coherent family…Carmine De Rosa, Valter Moretti·Feb 21, 2024SaveLearn
Collapse of inelastic hard spheres in dimension d ≥ 2We investigate the collapse of three inelastic particles in dimension d ≥ 2. We obtain general results of convergence and asymptotics concerning the variables of the dynamical system describing…Théophile Dolmaire, Juan J. L. Velázquez·Feb 21, 2024SaveLearn
A Riemann-Hilbert approach to the two-component modified Camassa-Holm equationIn this paper, we develop a Riemann-Hilbert (RH) approach to the Cauchy problem for the two-component modified Camassa-Holm (2-mCH) equation based on its Lax pair. Further via a series of…Kai Xu, Luman Ju, Engui Fan·Feb 21, 2024SaveLearn
Covariant projective representations of Hilbert-Lie groupsHilbert--Lie groups are Lie groups whose Lie algebra is a real Hilbert space whose scalar product is invariant under the adjoint action. These infinite-dimensional Lie groups are the closest…Karl-Hermann Neeb, Francesco G. Russo·Feb 21, 2024SaveLearn
A renormalised description of meromorphic connections over curvesThe Renormalisation Group (RG) is a systematic procedure used to regularise divergences appearing as artefacts when constructing solutions to a large class of differential problems, whether…Raphaël Belliard·Feb 20, 2024SaveLearn
On the metric property of quantum Wasserstein divergencesQuantum Wasserstein divergences are modified versions of quantum Wasserstein distances defined by channels, and they are conjectured to be genuine metrics on quantum state spaces by De Palma and…Gergely Bunth, József Pitrik, Tamás Titkos et al.·Feb 20, 2024SaveLearn
Characterizing the detailed balance property by means of measurements in chemical networksIn this paper we study how to determine if a linear biochemical network satisfies the detailed balance condition, without knowing the details of all the reactions taking place in the network. To this…Eugenia Franco, Bernhard Kepka, Juan J. L. Velázquez·Feb 20, 2024SaveLearn
Radially symmetric solutions of the ultra-relativistic Euler equations in several space dimensionsThe ultra-relativistic Euler equations for an ideal gas are described in terms of the pressure, the spatial part of the dimensionless four-velocity and the particle density. Radially symmetric…Matthias Kunik, Adrian Kolb, Siegfried Müller et al.·Feb 20, 2024SaveLearn
Absence of small magic angles for disordered tunneling potentials in twisted bilayer grapheneWe consider small random perturbations of the standard high-symmetry tunneling potentials in the Bistritzer-MacDonald Hamiltonian describing twisted bilayer graphene. Using methods developed by…Simon Becker, Izak Oltman, Martin Vogel·Feb 20, 2024SaveLearn
The transformations to remove or add bound states for the half-line matrix Schr\"odinger operatorWe present the transformations to remove or add bound states or to decrease or increase the multiplicities of any existing bound states for the half-line matrix-valued Schr\"odinger operator with the…Tuncay Aktosun, Ricardo Weder·Feb 19, 2024SaveLearn
On Higher Topological T-duality FunctorsWe use String Field Theory (SFT) to construct a higher analogue of Bunke-Schick's functor P: Topop Set BunkeS1 by geometrizing P. We use the projection of SFT onto…Ashwin S. Pande·Feb 19, 2024SaveLearn
Degenerate conformal blocks for the W3 algebra at c=2 and connection probabilities in the triple dimer modelWe study a homogeneous system of d+8 linear partial differential equations (PDEs) in d variables arising from two-dimensional Conformal Field Theories (CFTs) with a W3-symmetry algebra. In the…Augustin Lafay, Ian Le, Julien Roussillon·Feb 19, 2024SaveLearn
Orthosymplectic Z2× Z2-graded Lie superalgebras and parastatisticsA Z2× Z2-graded Lie superalgebra g is a Z2× Z2-graded algebra with a bracket [.,.] that satisfies certain graded versions of the symmetry and Jacobi identity. In particular,…N. I. Stoilova, J. Van der Jeugt·Feb 19, 2024SaveLearn
Exact Evaluation and extrapolation of the divergent expansion for the Heisenberg-Euler Lagrangian II: Non-alternating CaseWe applied the method of finite-part integration [Galapon E.A Proc.R.Soc A 473, 20160567(2017)] to evaluate in closed-form the exact one-loop integral representations of the Heisenberg-Euler…Christian D. Tica, Eric A. Galapon·Feb 19, 2024SaveLearn
General characterisation of Hamiltonians generating velocity-independent forcesDynamics generated from Hamiltonians enjoy potential pathways to quantisation, but standard Hamiltonians are only capable of generating conservative forces. Classes of Hamiltonians have been proposed…Fredy Yip, A. C. H. Cheung·Feb 18, 2024SaveLearn
Cartan geometry, supergravity, and group manifold approachWe make a case for the unique relevance of Cartan geometry for gauge theories of gravity and supergravity. We introduce our discussion by recapitulating historical threads, providing motivations. In…J. François, L. Ravera·Feb 17, 2024SaveLearn
Clebsch-Gordan coefficients, hypergeometric functions and the binomial distributionA particular case of degenerate Clebsch-Gordan coefficient can be expressed with three binomial coefficients. Such a formula, which may be obtained using the standard ladder operator procedure, can…Jean-Christophe Pain·Feb 17, 2024SaveLearn