Twisted TMDs in the small-angle limit: exponentially flat and trivial bandsRecent experiments discovered fractional Chern insulator states at zero magnetic field in twisted bilayer MoTe2 [C23,Z23] and WSe2 [MD23]. In this article, we study the MacDonald Hamiltonian…Simon Becker, Mengxuan Yang·Jan 11, 2024SaveLearn
Rado matroids and a graphical calculus for boundaries of Wilson loop diagramsWe study the boundaries of the positroid cells which arise from N = 4 super Yang Mills theory. Our main tool is a new diagrammatic object which generalizes the Wilson loop diagrams used to represent…Susama Agarwala, Colleen Delaney, Karen Yeats·Jan 10, 2024SaveLearn
Metriplectic Euler-Poincar\'e equations: smooth and discrete dynamicsIn this paper we will study some interesting properties of modifications of the Euler-Poincar\'e equations when we add a special type of dissipative force, so that the equations of motion can be…Anthony Bloch, Marta Farré Puiggalí, David Martín de Diego·Jan 10, 2024SaveLearn
Binary particle collisions with mass exchangeWe investigate a kinetic model for interacting particles whose masses are integer multiples of an elementary mass. These particles undergo binary collisions which preserve momentum and energy but…Pierre Degond, Jian-Guo Liu·Jan 9, 2024SaveLearn
Mller maps for Dirac fields in external backgroundsIn this paper we study the foundations of the algebraic treatment of classical and quantum field theories for Dirac fermions under external backgrounds following the initial contributions made by…Valentino Abram, Romeo Brunetti·Jan 9, 2024SaveLearn
Constructing a weakly-interacting fixed point of the Fermionic Polchinski equationI rigorously prove the existence of a nontrivial fixed point of a family of continuous renormalization group flows corresponding to certain weakly interacting Fermionic quantum field theories with a…Rafael Leon Greenblatt·Jan 9, 2024SaveLearn
On the representation of fourth and higher order anisotropic elasticity tensors in generalized continuum modelsThe classification of all fourth-order anisotropic tensor classes for classical linear elasticity is well known. In this article, we review the related problem of explicitly computing the dimension…Marco Valerio d'Agostino, Robert J. Martin, Peter Lewintan et al.·Jan 8, 2024SaveLearn
Condition numbers for real eigenvalues of real elliptic ensemble: weak non-normality at the edgeSensitivity of an eigenvalue λi to the perturbation of matrix elements is controlled by the eigenvalue condition number defined as $i = < Li | Li> < Ri|Ri…Wojciech Tarnowski·Jan 6, 2024SaveLearn
Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundariesWe investigate the thermodynamic limit and exact surface energy of the isotropic spin-1 Heisenberg chain with integrable generic open boundary conditions by a novel Bethe ansatz method. We obtain the…Jiasheng Dong, Pengcheng Lu, Junpeng Cao et al.·Jan 6, 2024SaveLearn
A global Nekhoroshev theorem for particles on the torus with time dependent HamiltonianWe prove a C∞ global version of Nekhoroshev theorem for time dependent Hamiltonians in Rd× Td. Precisely, we prove a result showing that for all times the actions of the unperturbed…Dario Bambusi·Jan 5, 2024SaveLearn
N=2 Double graded supersymmetric quantum mechanics via dimensional reductionWe present a novel N = 2 Z22-graded supersymmetric quantum mechanics (Z22-SQM) which has different features from those introduced so far. It is a…N. Aizawa, Ren Ito, Toshiya Tanaka·Jan 5, 2024SaveLearn
Anomalous symmetries of quantum spin chains and a generalization of the Lieb-Schultz-Mattis theoremFor any locality-preserving action of a group G on a quantum spin chain one can define an anomaly index taking values in the group cohomology of G. The anomaly index is a kinematic quantity, it…Anton Kapustin, Nikita Sopenko·Jan 4, 2024SaveLearn
Spectral theory of twisted bilayer graphene in a magnetic fieldIn this article we study the Bistritzer-MacDonald (BM) model with external magnetic field. We study the spectral properties of the Hamiltonian in an external magnetic field with a particular emphasis…Simon Becker, Xiaowen Zhu·Jan 4, 2024SaveLearn
Tulczyjew triple on the Atiyah algebroid with connectionThe Tulczyjew triple on a principal bundle with connection is constructed in a convenient trivialisation. A reduction by the structure group is performed leading to the triple on the trivialised…Katarzyna Grabowska, Paweł Korzeb, Kuba Krawczyk·Jan 3, 2024SaveLearn
Novel analytical solutions to a new formed model of the (2+1)-dimensional BKP equation using a novel expansion techniqueIn this article, we present a comprehensive analytical study to obtain the exact traveling wave solutions to a new formed model of the (2+1)-dimensional BKP equation. We construct exact solutions of…Rajib Mia·Jan 3, 2024SaveLearn
Scattering from time-modulated subwavelength resonatorsWe consider wave scattering from a system of highly contrasting resonators with time-modulated material parameters. In this setting, the wave equation reduces to a system of coupled Helmholtz…Habib Ammari, Jinghao Cao, Erik Orvehed Hiltunen et al.·Jan 2, 2024SaveLearn
The r-matrix structure of Hitchin systems via loop group uniformizationIn this work, the description of the moduli space of principal G-bundles as double quotient of loop groups is used to construct an \'etale local r-matrix for the Hitchin integrable system.Raschid Abedin·Jan 2, 2024SaveLearn
Data-driven model reduction via non-intrusive optimization of projection operators and reduced-order dynamicsComputing reduced-order models using non-intrusive methods is particularly attractive for systems that are simulated using black-box solvers. However, obtaining accurate data-driven models can be…Alberto Padovan, Blaine Vollmer, Daniel J. Bodony·Jan 2, 2024SaveLearn
From Invariant Decomposition to SpinorsPlane-based Geometric Algebra (PGA) has revealed points in a d-dimensional pseudo-Euclidean space Rp,q,1 to be represented by d-blades rather than vectors. This discovery allows…Martin Roelfs, David Eelbode, Steven De Keninck·Jan 2, 2024SaveLearn
New exact solutions to the generalized shallow water wave equationIn this work, we study the generalized shallow water wave equation to obtain novel solitary wave solutions. The application of this non-linear model can be found in tidal waves, weather simulations,…Rajib Mia, Arjun Kumar Paul·Jan 2, 2024SaveLearn
Weak compactons of nonlinearly dispersive KdV and KP equationsA weak formulation is devised for the K(m,n) equation which is a nonlinearly dispersive generalization of the gKdV equation having compacton solutions. With this formulation, explicit weak compacton…Stephen C. Anco, Maria Gandarias·Jan 1, 2024SaveLearn
A Short Proof of Bose-Einstein Condensation in the Gross-Pitaevskii Regime and BeyondWe consider dilute Bose gases on the three dimensional unit torus that interact through a pair potential with scattering length of order N-1, for some >0. For the range $…Christian Brennecke, Morris Brooks, Cristina Caraci et al.·Jan 1, 2024SaveLearn
Critical line of exponents, scattering theories for a weighted gradient system of semilinear wave equationsIn this paper, we consider the following Cauchy problem of a weighted gradient system of semilinear wave equations equation* \ arraylll utt- u=λ…Xianfa Song·Jan 1, 2024SaveLearn
Spectral action and heat kernel trace for Ricci flat manifolds from stochastic flow over second quantized L2-differential formsA quantum stochastic differential equation (qsde) on Fock space over L2 differential 1-forms is given from the small "time" flow of which the trace of the connection Laplacian heat kernel for the…Sita Gakkhar, Matilde Marcolli·Jan 1, 2024SaveLearn
Scale Invariant Scattering and Bernoulli NumbersNon-relativistic quantum mechanical scattering from an inverse square potential in two spatial dimensions leads to a novel representation of the Bernoulli numbers.Thomas L. Curtright·Dec 31, 2023SaveLearn