Invariant Differential Operators for the Real Exceptional Lie Algebra F'4In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact exceptional Lie algebra F'4=F4(4) which is split…V. K. Dobrev·Mar 28, 2025SaveLearn
Reduction of hybrid Hamiltonian systems with non-equivariant momentum mapsWe develop a reduction scheme \`a la Marsden-Weinstein-Meyer for hybrid Hamiltonian systems. Our method does not require the momentum map to be equivariant, neither to be preserved by the impact map.…Leonardo Colombo, María Emma Eyrea Irazú, María Eugenia García et al.·Mar 28, 2025SaveLearn
On the scaling properties of quasicrystalline potentials of eightfold rotational symmetryWe consider a special class of quasi-periodic potentials arising in the physics of photonic systems and possessing rotational symmetry of the 8th order. We are interested in the ``scaling''…A. Ya. Maltsev·Mar 28, 2025SaveLearn
Geometric aspects of non-homogeneous 1+0 operatorsLed by the key example of the Korteweg-de Vries equation, we study pairs of Hamiltonian operators which are non-homogeneous and are given by the sum of a first-order operator and an ultralocal…Marta Dell'Atti, Alessandra Rizzo, Pierandrea Vergallo·Mar 27, 2025SaveLearn
On the non-integrability of driven-dissipative one-dimensional hard-core bosonsWe address the question whether hard-core bosons, equivalent to the XX-model, remain integrable once the system is no longer closed. We consider the lattice version under incoherent local pump and…Martina Zündel·Mar 27, 2025SaveLearn
Operator product expansions of derivative fields in the sine-Gordon modelIn this article, we initiate the study of operator product expansions (OPEs) for the sine-Gordon model. For simplicity, we focus on the model below the first threshold of collapse (β<4π) and…Alex Karrila, Tuomas Virtanen, Christian Webb·Mar 27, 2025SaveLearn
On the magnetic perturbation theory for Chern insulatorsThe gauge covariant magnetic perturbation theory is tailored for one-body Schr\"odinger operators perturbed by long-range magnetic fields. In this work we present a self-contained exposition of the…Horia D. Cornean, Massimo Moscolari·Mar 26, 2025SaveLearn
Contact Lie systems on Riemannian and Lorentzian spaces: from scaling symmetries to curvature-dependent reductionsWe propose an adaptation of the notion of scaling symmetries for the case of Lie-Hamilton systems, allowing their subsequent reduction to contact Lie systems. As an illustration of the procedure,…Rutwig Campoamor-Stursberg, Oscar Carballal, Francisco J. Herranz·Mar 26, 2025SaveLearn
On the generalized Langevin equation and the Mori projection operator techniqueIn statistical physics, the Nakajima-Mori-Zwanzig projection operator formalism is used to derive an integro-differential equation for observables in a Hilbert space, the generalized Langevin…Christoph Widder, Johannes Zimmer, Tanja Schilling·Mar 26, 2025SaveLearn
The Many-Body Ground State Manifold of Flat Band Interacting Hamiltonian for Magic Angle Twisted Bilayer GrapheneAt a magic relative twist angle, magic angle twisted bilayer graphene (MATBG) has an octet of flat bands that can host strong correlation physics when partially filled. A key theoretical discovery in…Kevin D. Stubbs, Michael Ragone, Allan H. MacDonald et al.·Mar 25, 2025SaveLearn
Stability analysis of the (1+1)-dimensional Nambu-Goto action gas modelsThe aim of this paper is to perform a nonlinear stability analysis of the (1+1)-dimensional Nambu-Goto action gas models. The energy-Casimir method is employed to discuss in detail the Lyapunov…Alfred M. Grundland, Javier de Lucas, Bartosz M. Zawora·Mar 25, 2025SaveLearn
Macroscopic suppression of supersonic quantum transportWe consider a broad class of strongly interacting quantum lattice gases, including the Fermi-Hubbard and Bose-Hubbard models. We focus on macroscopic particle clusters of size θ N, with…Jérémy Faupin, Marius Lemm, Israel Michael Sigal et al.·Mar 25, 2025SaveLearn
Cylindrical Euler--Poisson Equation in a Chaplygin Gas MediumWe studied the Euler--Poisson equation system in the case of cylindrical symmetry with the von Neumann--Sedov--Taylor type of self-similar Ansatz and present scaling solutions. We have analyzed the…Balázs Endre Szigeti, Imre Ferenc Barna, Gergely Gábor Barnaföldi·Mar 25, 2025SaveLearn
Localization of interacting random particles with power-law long-range hoppingIn this paper, we study the interacting random particles with power-law long-rang hopping. Via the multi-scale analysis arguments for the Green's function, we establish the power-law localization for…Wenwen Jian, Yingte Sun·Mar 25, 2025SaveLearn
Transport in multifractal Kraichnan flows: from turbulence to Liouville quantum gravityWe investigate the behavior of fluid trajectories in a multifractal extension of the Kraichnan model of turbulent advection. The model couples a one-dimensional, Gaussian, white-in-time random flow…André L. P. Considera, Simon Thalabard·Mar 24, 2025SaveLearn
Q-operators for the Ruijsenaars modelWe prove that the Ruijsenaars model admits a one-parameter commuting family of Q-operators. The commutativity is equivalent to an elliptic hypergeometric integral transformation that was conjectured…Eric Rains, Hjalmar Rosengren·Mar 23, 2025SaveLearn
Relative Positions of Half-sided Modular InclusionsLet K1 ⊂ H and K2 ⊂ H be half-sided modular inclusions in a common standard subspace H. We prove that the inclusion K1 ⊂ K2 holds if and only if we have an inclusion of…Ian Koot·Mar 23, 2025SaveLearn
Improved bounds for connection probabilities in random loop modelsWe revisit and extend results by Ueltschi [19] on the application of reflection positivity to loop models with θ ∈ N≥ 2. By exploiting additional flexibility in the method, we…Volker Betz, Andreas Klippel, Julian Nauth·Mar 22, 2025SaveLearn
Pseudo-Hermiticity, Anti-Pseudo-Hermiticity, and Generalized Parity-Time-Reversal Symmetry at Exceptional PointsFor a diagonalizable linear operator H:HH acting in a separable Hilbert space H, i.e., an operator with a purely point spectrum, eigenvalues with finite algebraic…Nil İnce, Hasan Mermer, Ali Mostafazadeh·Mar 22, 2025SaveLearn
Asymptotic Behaviour of Solutions to the Fokker-Planck Equation: Naval Dynamics Under Stochastic InfluenceThis study investigates the asymptotic dynamics of solutions to the Fokker-Planck-Kolmogorov (FPK) equation, with a specific focus on ship roll stability in dynamic sea conditions. Utilizing a…Abdelkader Tizaoui·Mar 22, 2025SaveLearn
Dual Block Gradient Ascent for Entropically Regularised Quantum Optimal TransportWe present a block gradient ascent method for solving the quantum optimal transport problem with entropic regularisation similar to the algorithm proposed in [D. Feliciangeli, A. Gerolin, L.…Marvin Randig, Max von Renesse·Mar 22, 2025SaveLearn
Quantum geometric tensors from sub-bundle geometryThe geometric properties of quantum states are crucial for understanding many physical phenomena in quantum mechanics, condensed matter physics, and optics. The central object describing these…Marius A. Oancea, Thomas B. Mieling, Giandomenico Palumbo·Mar 21, 2025SaveLearn
Odd and even derivations, transposed Poisson superalgebra and 3-Lie superalgebraOne important example of a transposed Poisson algebra can be constructed by means of a commutative algebra and its derivation. This approach can be extended to superalgebras, that is, one can…Viktor Abramov, Nikolai Sovetnikov·Mar 21, 2025SaveLearn
Derivation of Hartree-Fock Dynamics and Semiclassical Commutator Estimates for Fermions in a Magnetic FieldWe study the quantum dynamics of a large number of interacting fermionic particles in a constant magnetic field. In a coupled mean-field and semiclassical scaling limit, we show that solutions of the…Niels Benedikter, Chiara Boccato, Domenico Monaco et al.·Mar 20, 2025SaveLearn
Higher-order tacnodes in a free fermionic modelWe investigate a one-dimensional free fermion model with nearest and next-nearest neighbor hopping, evolving in imaginary time from a product state with N consecutive fermions, and conditioned to go…Andrea Maroncelli, Jean-Marie Stéphan·Mar 19, 2025SaveLearn