Homotopy Classification of loops of Clifford unitariesClifford quantum circuits are elementary invertible transformations of quantum systems that map Pauli operators to Pauli operators. We study periodic one-parameter families of Clifford circuits,…Roman Geiko, Yichen Hu·Jun 16, 2023SaveLearn
One-dimensional AB random sequential adsorption with one deposition per siteWe investigate a modified version of the AB random sequential adsorption model. Specifically, this model involves the deposition of two distinct types of particles onto a lattice, with the…Charles S. do Amaral, Diogo C. dos Santos·Jun 16, 2023SaveLearn
Poisson vertex algebras and Hamiltonian PDEWe discuss the theory of Poisson vertex algebras and their generalizations in relation to integrability of Hamiltonian PDE. In particular, we discuss the theory of affine classical W-algebras and…Alberto De Sole, Victor G. Kac, Daniele Valeri·Jun 16, 2023SaveLearn
Metriplectic Heavy Top: An Example of Geometrical DissipationRecently, Morrison and Updike showed that many dissipative systems are naturally described as possessing a Riemann curvature-like bracket, which similar to the Poisson bracket, generates the…Michael Updike·Jun 15, 2023SaveLearn
On intermediate Lie algebra E7+1/2E7+1/2 is an intermediate Lie algebra filling a hole between E7 and E8 in the Deligne-Cvitanovi\'c exceptional series. It was found independently by Mathur, Muhki, Sen in the…Kimyeong Lee, Kaiwen Sun, Haowu Wang·Jun 15, 2023SaveLearn
Typical = randomThis expository paper advocates an approach to physics in which ``typicality" is identified with a suitable form of algorithmic randomness. To this end various theorems from mathematics and physics…Klaas Landsman·Jun 15, 2023SaveLearn
Regular Dynamics and Collisions Inside Classical Closed StringWe consider classical closed string with N particles inside. Taking collisions into account, we consider dynamics of this N-particle system under the influence of constant external force. We get…V. A. Malyshev, A. A. Zamyatin·Jun 15, 2023SaveLearn
Energy Escape to Infinity for Systems with Infinite Number of ParticlesHere we consider system of infinite number of particles where any particle cannot escape to infinity. We define what means escape of energy to infinity and apply this notion to the case when constant…V. A. Malyshev, A. A. Zamyatin·Jun 15, 2023SaveLearn
Introduction to Micro Life of Graphs. IMultiparticle systems on complicated metric graphs might have many applications in physics, biology and social life. But the corresponding science still does not exist. Here we start it with simplest…V. A. Malyshev, A. A. Zamyatin·Jun 15, 2023SaveLearn
Higher Chern-Simons-Antoniadis-Savvidy forms based on crossed modulesWe present higher Chern-Simons-Antoniadis-Savvidy (ChSAS) forms based on crossed modules. We start from introducing a generalized multilineal symmetric invariant polynomial for the differential…D. H. Song, K. Wu, J. Yang·Jun 15, 2023SaveLearn
Schr\"odinger operators with multiple Aharonov-Bohm fluxesWe study the Schr\"odinger operator describing a two-dimensional quantum particle moving in presence of N ≥slant 1 Aharonov-Bohm magnetic fluxes. We classify all the self-adjont realizations…Michele Correggi, Davide Fermi·Jun 15, 2023SaveLearn
Where charged sectors are localizable: a viewpoint from covariant cohomologyGiven a Haag-Kastler net on a globally hyperbolic spacetime, one can consider a family of regions where quantum charges are supposed to be localized. Assuming that the net fulfils certain minimal…Fabio Ciolli, Giuseppe Ruzzi, Ezio Vasselli·Jun 14, 2023SaveLearn
Sharp spectral stability for a class of singularly perturbed pseudo-differential operatorsLet a(x,ξ) be a real Hörmander symbol of the type S0,00(Rd× Rd), let F be a smooth function with all its derivatives globally bounded, and let Kδ be the…Horia D. Cornean, Radu Purice·Jun 13, 2023SaveLearn
Isomonodromic and isospectral deformations of meromorphic connections: the sl2(C) caseWe consider non-twisted meromorphic connections in sl2(C) and the associated symplectic Hamiltonian structure. In particular, we provide explicit expressions of the Lax pair in…Olivier Marchal, Mohamad Alameddine·Jun 12, 2023SaveLearn
Transport Phenomena in Excitable Systems: Existence of Bounded Solutions and Absorbing SetsIn this paper, the transport phenomena of synaptic electric impulses are considered. The FitzHugh--Nagumo and FitzHugh--Rinzel models appear mathematically appropriate for evaluating these scientific…Monica De Angelis·Jun 12, 2023SaveLearn
Invariant measures on p-adic Lie groups: the p-adic quaternion algebra and the Haar integral on the p-adic rotation groupsWe provide a general expression of the Haar measure - that is, the essentially unique translation-invariant measure - on a p-adic Lie group. We then argue that this measure can be regarded as…Paolo Aniello, Sonia L'Innocente, Stefano Mancini et al.·Jun 12, 2023SaveLearn
Stationary completeness: the N-body short-range caseFor a general class of N-body Schr\"odinger operators with short-range pair-potentials the wave and scattering matrices as well as the restricted wave operators are all defined at any non-threshold…Erik Skibsted·Jun 12, 2023SaveLearn
Painlev\'e transcendents in the defocusing mKdV equation with non-zero boundary conditionsWe consider the Cauchy problem for the defocusing modified Korteweg-de Vries (mKdV) equation with non-zero boundary conditions align &qt(x,t)-6q2(x,t)qx(x,t)+qxxx(x,t)=0, …Zhaoyu Wang, Taiyang Xu, Engui Fan·Jun 12, 2023SaveLearn
Reduction by symmetries of contact mechanical systems on Lie groupsWe study the dynamics of contact mechanical systems on Lie groups that are invariant under a Lie group action. Analogously to standard mechanical systems on Lie groups, existing symmetries allow for…Alexandre Anahory Simoes, Leonardo Colombo, Manuel de León et al.·Jun 12, 2023SaveLearn
Continuum Limit of Spin Dynamics on Hexagonal LatticeThis study investigates the atomistic spin system in CrCl3, which exhibits topologically nontrivial meron structures within its layered hexagonal lattice framework. We analyze the complete…Mengjia Bai, Jingrun Chen, Zhiwei Sun et al.·Jun 12, 2023SaveLearn
Counting spanning trees of (1, N)-periodic graphsLet N≥ 2 be an integer, a (1, N)-periodic graph G is a periodic graph whose vertices can be partitioned into two sets V1=\vσ(v)=v\ and $V2=\vσi(v)≠ v\ for…Jingyuan Zhang, Fuliang Lu, Xian'an Jin·Jun 12, 2023SaveLearn
An inclusive curvature-like framework for describing dissipation: metriplectic 4-bracket dynamicsAn inclusive framework for joined Hamiltonian and dissipative dynamical systems, which preserve energy and produce entropy, is given. The dissipative dynamics of the framework is based on the…Philip J. Morrison, Michael H. Updike·Jun 11, 2023SaveLearn
A New S-Function Method searching for First Order Differential Integrals: Faster, Broader, BetterHere we present a very efficient method to search for Liouvillian first integrals of second order rational ordinary differential equations (rational 2ODEs). This new algorithm can be seen as an…L. G. S. Duarte, L. A. C. P. da Mota, I. S. S. Nascimento·Jun 11, 2023SaveLearn
Asymptotic entangled states from the dissipative interaction of two charged fieldsWe construct a field theory for dissipative systems using a hypercomplex ring formalism that reproduces naturally the effective doubling field formulation of dissipative systems of thermal field…R. Cartas-Fuentevilla, O. Cruz-Limón, C. Ramírez-Romero·Jun 10, 2023SaveLearn
BCS Critical Temperature on Half-SpacesWe study the BCS critical temperature on half-spaces in dimensions d=1,2,3 with Dirichlet or Neumann boundary conditions. We prove that the critical temperature on a half-space is strictly higher…Barbara Roos, Robert Seiringer·Jun 9, 2023SaveLearn