Charged particle motion in a strong magnetic field: The first order expansionWe provide a mathematically rigorous derivation of the first order expansion of the motion of a charged particle in a strong magnetic field. In contrast to the derivations that can be found in the…Ugo Boscain, Wadim Gerner·Feb 11, 2026SaveLearn
A novel stochastic approach of thermalization and symmetry breakingWe investigate thermalization and symmetry-breaking in a nonlinear stochastic Klein-Gordon equation on a spatial lattice, taking into account damping, nonlinear interaction, and stochastic forcing…Boubaker Smii·Feb 11, 2026SaveLearn
Wave scattering by a transversal defect in a discrete waveguideWe study wave scattering by a finite transversal strip in a discrete square-lattice waveguide with Dirichlet boundary conditions imposed on the strip and the waveguide walls. The setting is motivated…Elena Medvedeva, Raphael Assier, Anastasia Kisil·Feb 10, 2026SaveLearn
The Unruh state for bosonic Teukolsky fields on subextreme Kerr spacetimesWe perform the quantization of Teukolsky scalars of spin 0, 1, and 2 within the algebraic approach to quantum field theory. We first discuss the classical phase space, from which we…Dietrich Häfner, Christiane K. M. Klein·Feb 10, 2026SaveLearn
Quantum Riemannian Cubics with Obstacle Avoidance for Quantum Geometric Model Predictive ControlWe propose a geometric model predictive control framework for quantum systems subject to smoothness and state constraints. By formulating quantum state evolution intrinsically on the projective…Leonardo Colombo·Feb 9, 2026SaveLearn
Macroscopic approximation of tight-binding models near spectral degeneracies and validity for wave packet propagationThis paper concerns the derivation and validity of macroscopic descriptions of wave packets supported in the vicinity of degenerate points (K,E) in the dispersion relation of tight-binding models…Guillaume Bal, Paul Cazeaux, Daniel Massatt et al.·Feb 8, 2026SaveLearn
Damping of phonons in Bose gas at low temperaturesWe consider homogeneous Bose gas in a large cubic box with periodic boundary conditions interacting with a small potential with a positive Fourier transform. We compute the imaginary part of the…Jan Dereziński, Lorenzo Pettinari·Feb 7, 2026SaveLearn
Existence of Ground State and Excited Spinning Q-Vortex Solitons on Finite DomainsWe establish the existence of spinning Q-vortex solitons in a complex scalar field theory with a sextic potential on a finite domain. By reducing the governing equation to a nonlinear boundary…Caroline Brumelot, Luciano Medina·Feb 7, 2026SaveLearn
Derivation of the 3D quintic Gross--Pitaevskii equationWe study the time evolution of Bose--Einstein condensates with three-body interactions in the Gross--Pitaevskii regime. We show that Bose--Einstein condensation is preserved under many-body evolution…Arnaud Triay, François L. A. Visconti·Feb 6, 2026SaveLearn
On the Efimov Effect for Four Particles in Dimension TwoWe prove that the Schr\"odinger operator describing four particles in two dimensions, interacting solely through short-range three-body forces, can possess infinitely many bound states. This holds…Jonathan Rau, Marvin R. Schulz·Feb 5, 2026SaveLearn
Universal Quantum Dimensions: I. γ-Independent FactorsWe propose a method for computing universal (in Vogel's sense) quantum dimension formulae for universal multiplets whose associated sl, so, and sp representations are nonzero. The method uses…R. L. Mkrtchyan·Feb 5, 2026SaveLearn
Bethe ansatz solution to integrable bosonic cube networksWe study two extended Bose-Hubbard-type Hamiltonians representing bosonic networks restricted to the graph of a cube. For both Hamiltonians, we demonstrate that Bethe ansatz methods of solution can…Lachlan Bennett, Phillip S. Isaac, Jon Links·Feb 5, 2026SaveLearn
Unified criteria for crystallization in hard-core lattice systems with applications to polyomino fluids and multi-component mixturesWe present a unified extension of two sets of criteria for high-fugacity crystallization in hard-core lattice systems developed previously by Jauslin, Lebowitz, and the author. Our new criterion is…Qidong He·Feb 5, 2026SaveLearn
When Stein-Type Test Detects Equilibrium Distributions of Finite N-Body SystemsStarting from the probability distribution of finite N-body systems, which maximises the Havrda--Charv\'at entropy, we build a Stein-type goodness-of-fit test. The Maxwell--Boltzmann distribution is…Jae Wan Shim·Feb 5, 2026SaveLearn
Geometric realization of W-operatorsCertain integrable hierarchies appearing in random matrix theory, enumerative geometry, and conformal field theory are governed by Virasoro/W-algebra constraints and their…Lu-Yao Wang·Feb 4, 2026SaveLearn
Kodaira-Spencer theory for Courant algebroidsStudying Courant algebroids on dg ringed manifolds, we observe that the associated Roytenberg-Weinstein L∞ algebra admits a local structure reminiscent of a shifted contact structure. On a dg…Julian Kupka, Ingmar Saberi, Charles Strickland-Constable et al.·Feb 4, 2026SaveLearn
Non-perturbative renormalization for lattice massive QED2: the ultraviolet problemWe consider a lattice regularization, preserving Ward Identities (WI) and with a Wilson term, of the Massive QED2, describing a fermion with mass m and charge e interacting with a…Simone Fabbri, Vieri Mastropietro, Bruno Renzi·Feb 3, 2026SaveLearn
Bekenstein's bound for wave packetsLet B be a spatial region of width 2R and a Klein-Gordon wave packet localized in B at time zero. We show the inequality S ≤ 2π R E; here, S is the entropy of contained…Stefan Hollands, Roberto Longo, Gerardo Morsella·Feb 3, 2026SaveLearn
An operator algebraic approach for generalized Cardano polynomialsWe develop an operator algebraic framework for generalized Cardano polynomials and show how their structure naturally leads to an operator formulation of Cardano method that is compatible with tools…Leonard Mada, Maria Anastasia Jivulescu·Feb 3, 2026SaveLearn
Equilibrium measures for higher dimensional rotationally symmetric Riesz gasesWe study equilibrium measures for Riesz gases in dimension d with pairwise interaction kernel |x-y|-s, subject to radially symmetric external fields. We characterise broad classes of confining…Sung-Soo Byun, Peter J. Forrester, Satya N. Majumdar et al.·Feb 3, 2026SaveLearn
Spectral Analysis of Brownian Motion with its Rheological AnaloguesThe power spectrum of the Brownian motion of probe microparticles with mass m and radius R immersed in a viscoelastic material reveals valuable information about repetitive patterns and correlation…Nicos Makris·Feb 2, 2026SaveLearn
Relative Rota-Baxter operators and crossed homomorphisms on Lie 2-groupsA relative Rota-Baxter operator on Lie 2-groups is introduced as a pair of relative Rota-Baxter operators on the underlying Lie groups which is also a Lie groupoid morphism. Such an operator induces…Honglei Lang, Shining Wang·Feb 2, 2026SaveLearn
Special values of spectral zeta functions of one-, two-photon quantum Rabi models and non-commutative harmonic oscillatorsWe find explicit expressions of the special values of the Hurwitz-type spectral zeta function ζ(H;n,λ) for the Hamiltonians H of the one-photon quantum Rabi model…Ryosuke Nakahama·Feb 2, 2026SaveLearn
General teleparallel geometric theory of defectsWe revisit the geometric theory of defects. In the differential-geometric models of defects that have been adopted since the 1950s, dislocations have been associated with torsion, disclinations with…Muzaffer Adak, Ertan Kok, Mehmet Orhan·Feb 1, 2026SaveLearn
Spectral moments of Bures-Hall ensemble and applications to entanglement entropyWe study spectral moments of the Bures-Hall random matrices ensemble. The main result establishes a recurrence relation for the k-th spectral moment valid for a real-valued k, in contrast to…Linfeng Wei, Youyi Huang, Lu Wei·Feb 1, 2026SaveLearn