Comparison of Ising Models Under Change of Apriori MeasureWe study comparison of correlation functions for ferromagnetic generalized Ising models with two different apriori measures. One purpose of this note is to publicize some unpublished 45 year old work…José Madrid, Barry Simon, Daniel R. Wells·Jan 25, 2022SaveLearn
Computation of the eigenvalues for the angular and Coulomb spheroidal wave equationIn this paper we study the eigenvalues of the angular spheroidal wave equation and its generalization, the Coulomb spheroidal wave equation. An associated differential system and a formula for the…Harald Schmid·Jan 24, 2022SaveLearn
Spacetimes categories and disjointness for algebraic quantum field theoryAn algebraic quantum field theory (AQFT) may be expressed as a functor from a category of spacetimes to a category of algebras of observables. However, a generic category C whose objects…Alastair Grant-Stuart·Jan 23, 2022SaveLearn
Networks with complex weights: Green function and power seriesWe introduce a Green function and analogues of other related kernels for finite and infinite networks whose edge weights are complex-valued admittances with positive real part. We provide comparison…Anna Muranova, Wolfgang Woess·Jan 22, 2022SaveLearn
The inverse Rytov series for diffuse optical tomographyThe Rytov approximation is known in near-infrared spectroscopy including diffuse optical tomography. In diffuse optical tomography, the Rytov approximation often gives better reconstructed images…Manabu Machida·Jan 21, 2022SaveLearn
Regularity properties of bulk and edge current densities at positive temperatureWe consider magnetic Schrödinger operators describing a quantum Hall effect setup both in the plane and in the half-plane. First, we study the structure and smoothness of the operator range of…Massimo Moscolari, Benjamin B. Støttrup·Jan 21, 2022SaveLearn
One-Dimensional Quantum Systems with Ground-State of Jastrow Form Are IntegrableThe exchange operator formalism (EOF) describes many-body integrable systems using phase-space variables involving an exchange operator that acts on any pair of particles. We establish an equivalence…Jing Yang, Adolfo del Campo·Jan 20, 2022SaveLearn
Derivation of the linear Boltzmann equation from the damped quantum Lorentz gas with a general scatterer configurationIt is a fundamental problem in mathematical physics to derive macroscopic transport equations from microscopic models. In this paper we derive the linear Boltzmann equation in the low-density limit…Jory Griffin·Jan 20, 2022SaveLearn
Boundary Superconductivity in the BCS ModelWe consider the linear BCS equation, determining the BCS critical temperature, in the presence of a boundary, where Dirichlet boundary conditions are imposed. In the one-dimensional case with point…Christian Hainzl, Barbara Roos, Robert Seiringer·Jan 20, 2022SaveLearn
Directivity of quantum walk via its random walk replicaQuantum walks (QWs) exhibit different properties compared with classical random walks (RWs), most notably by linear spreading and localization. In the meantime, random walks that replicate quantum…Tomoki Yamagami, Etsuo Segawa, Nicolas Chauvet et al.·Jan 20, 2022SaveLearn
The Kronig-Penney model in a quadratic channel with δ interactions. II : Scattering approachThe main purpose of the present paper is to introduce a scattering approach to the study of the Kronig-Penney model in a quadratic channel with δ interactions, which was discussed in full…Uzy Smilansky·Jan 20, 2022SaveLearn
The Euclidean ϕ42 theory as a limit of an interacting Bose gasWe prove that the complex Euclidean field theory with local quartic self-interaction in two dimensions arises as a limit of an interacting Bose gas at positive temperature, when the density of the…Jürg Fröhlich, Antti Knowles, Benjamin Schlein et al.·Jan 19, 2022SaveLearn
Localization for Almost-Periodic Operators with Power-law Long-range Hopping: A Nash-Moser Iteration Type Reducibility ApproachIn this paper we develop a Nash-Moser iteration type reducibility approach to prove the (inverse) localization for some d-dimensional discrete almost-periodic operators with power-law long-range…Yunfeng Shi·Jan 19, 2022SaveLearn
Mixing in an anharmonic potential wellWe prove phase-space mixing for solutions to Liouville's equation for integrable systems. Under a natural non-harmonicity condition, we obtain weak convergence of the distribution function with…Matías Moreno, Paola Rioseco, Hanne Van Den Bosch·Jan 18, 2022SaveLearn
Spin generalizations of the Benjamin-Ono equationWe present new soliton equations related to the A-type spin Calogero-Moser (CM) systems introduced by Gibbons and Hermsen. These equations are spin generalizations of the Benjamin-Ono (BO) equation…Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells·Jan 18, 2022SaveLearn
Mean arc theorem for exploring domains with randomly distributed arbitrary closed trajectoriesA remarkable result from integral geometry is Cauchy's formula, which relates the mean path length of ballistic trajectories randomly crossing a convex 2D domain, to the ratio between the region…Samuel Hidalgo-Caballero, Alvaro Cassinelli, Matthieu Labousse et al.·Jan 18, 2022SaveLearn
Magnetic slowdown of topological edge statesWe study the propagation of wavepackets along curved interfaces between topological, magnetic materials. Our Hamiltonian is a massive Dirac operator with a magnetic potential. We construct…Guillaume Bal, Simon Becker, Alexis Drouot·Jan 18, 2022SaveLearn
Homotopy theory of net representationsThe homotopy theory of representations of nets of algebras over a (small) category with values in a closed symmetric monoidal model category is developed. We illustrate how each morphism of nets of…Angelos Anastopoulos, Marco Benini·Jan 17, 2022SaveLearn
Ultrametric Diffusion, Rugged Energy Landscapes and Transition NetworksIn this article we introduce the ultrametric networks which are p-adic continuous analogues of the standard Markov state models constructed using master equations. A p-adic transition network (or an…W. A. Zúñiga-Galindo·Jan 17, 2022SaveLearn
Numerical Analysis of the Causal Action Principle in Low DimensionsThe numerical analysis of causal fermion systems is advanced by employing differentiable programming methods. The causal action principle for weighted counting measures is introduced for general…Felix Finster, Robert H. Jonsson, Niki Kilbertus·Jan 17, 2022SaveLearn
Time Operators of Harmonic Oscillators and Their RepresentationsA time operator T of the one-dimensional harmonic oscillator h=(p2+ q2) is rigorously constructed. It is formally expressed as $ T=1…Fumio Hiroshima, Noriaki Teranishi·Jan 17, 2022SaveLearn
The split Casimir operator and solutions of the Yang-Baxter equation for the osp(M|N) and s(M|N) Lie superalgebras, higher Casimir operators, and the Vogel parametersWe find the characteristic identities for the split Casimir operator in the defining and adjoint representations of the osp(M|N) and s(M|N) Lie superalgebras. These identities are used to…A. P. Isaev, A. A. Provorov·Jan 16, 2022SaveLearn
Nonexistence of spontaneous symmetry breakdown of time-translation symmetry on general quantum systems: Any macroscopic order parameter moves not!This review informs that the impossibility of genuine quantum time crystals has been known in the C*-algebraic quantum statistical mechanics since 1970s. The KMS condition implies that spontaneous…Hajime Moriya·Jan 16, 2022SaveLearn
Homotopy double copy and the Kawai-Lewellen-Tye relations for the non-abelian and tensor Navier-Stokes equationsRecently, a non-abelian generalisation of the Navier-Stokes equation that exhibits a manifest duality between colour and kinematics has been proposed by Cheung and Mangan. In this paper, we offer a…Valentina Guarin Escudero, Cristhiam Lopez-Arcos, Alexander Quintero Velez·Jan 16, 2022SaveLearn
Quantum Control at the BoundaryThis dissertation presents and prove the viability of a non-standard method for controlling the state of a quantum system by modifying its boundary conditions instead of relying on the action of…Aitor Balmaseda·Jan 14, 2022SaveLearn