Higher-order spectral form factors of circular unitary ensembleSpectral form factor (SFF), one of the key quantity from random matrix theory, serves as an important tool to probe universality in disordered quantum systems and quantum chaos. In this work, we…Sohail, Youyi Huang, Lu Wei·Dec 1, 2025SaveLearn
A Classification of Invertible Stabilizer CodesWe develop a framework for the classification of invertible translation-invariant stabilizer codes modulo condensation and stabilization with simple codes. Our stabilizer codes generalize the Pauli…Roman Geiko, Georgii Shuklin·Nov 30, 2025SaveLearn
An Adaptive Physics-Driven Deep Learning Framework for a Two-Phase Stefan ProblemThermal Energy Storage (TES) using Phase Change Materials (PCMs) represents a critical technology for sustainable energy management and grid stability. This study presents a novel Physics-Driven Deep…Meraj Hassanzadeh, Ehsan Ghaderi, Fatemeh Fatahi et al.·Nov 30, 2025SaveLearn
Generalized Boltzmann-Gibbs Distribution and the Electronic Partition Function ParadoxThis paper generalizes the entropy maximization problem leading to the Boltzmann-Gibbs distribution through the nonadditive entropy Sq,s(p)=ksΣWi≥1piq1/pi,…Leandro Lyra Braga Dognini·Nov 30, 2025SaveLearn
Exact quantum dynamics of Fermi--Hubbard systems using the Gaussian phase-space representation with diffusion gaugesWe use the Gaussian Phase-Space Representation to solve the real-time dynamic of interacting fermions in 1D, 2D, and 3D systems. The method is exact up to a spiking point, which represents a limit on…F Rousse, M Fasi, A Dmytryshyn et al.·Nov 30, 2025SaveLearn
On the eigenvalues of a central configurationThe equations of the Newtonian n-body problem have a matrix form, where an n× n matrix depending on the masses and on the mutual distances appears as a factor. The n eigenvalues of this…Alain Albouy, Jiexin Sun·Nov 29, 2025SaveLearn
Simple Eigenvalues and Non-vanishing Eigenvectors of the Anderson ModelWe consider the Anderson model on the finite grid G = Z/L1 Z×·s× Z/Ld Z, defined by the random Hamiltonian Ht=+tV, where is the…Oluyinka Lindblad, Ezra Guerrero·Nov 29, 2025SaveLearn
A unified approach to spinor duals via Clifford algebras and G groupsRecent developments in the construction of generalized Dirac duals have revealed, within the structure of the Clifford algebra C1,3, the existence of distinct…R. T. Cavalcanti, J. M. Hoff da Silva·Nov 28, 2025SaveLearn
Extended regime of nematic order in an interacting monomer-dimer model of Heilmann and LiebWe revisit a two-dimensional model of liquid crystals introduced by Heilmann and Lieb (1979), which consists of a system of dimers on the square lattice at chemical potential λ, interacting…Qidong He·Nov 28, 2025SaveLearn
On Fredholm Pfaffians and Riemann-Hilbert problemsIt is shown how classes of Fredholm Pfaffians can be computed in terms of canonical, auxiliary Riemann-Hilbert problems as soon as the main kernel in the Pfaffian is either of additive Hankel…Thomas Bothner, Amari Jaconelli·Nov 28, 2025SaveLearn
Topological Recursion, explicit ABCD tensors and implementationWe provide explicit expressions of ABCD tensors for the most classical classes of spectral curves. And we discuss algorithmic implementation of Topological Recursion.Bertrand Eynard·Nov 28, 2025SaveLearn
Complex Lagrangian dynamicsIn this article one introduces a formalism of classical mechanics where complex Lagrangian functions are admitted. The results include complex versions of the Lagrangian function, of the…Sergio Giardino·Nov 27, 2025SaveLearn
Double BFV quantisation of 3d GravityWe extend the cohomological setting developed by Batalin, Fradkin and Vilkovisky (BFV), which produces a resolution of coisotropic reduction in terms of hamiltonian dg manifolds, to the case of…Giovanni Canepa, Michele Schiavina·Nov 27, 2025SaveLearn
Lindblad Quantum Dynamics as Euler-Poincar\'e Reduction on Adjoint-Coupled Semidirect ProductsWe present a geometric and variational derivation of the Gorini--Kossakowski--Sudarshan--Lindblad equation from Euler--Poincar'e reduction on an adjoint--coupled semidirect product (ACSP). In this…Leonardo Colombo·Nov 26, 2025SaveLearn
Spectral Density and Eigenvector Nonorthogonality in Complex Symmetric Random MatricesNon-Hermitian random matrices with statistical spectral characteristics beyond the standard Ginibre ensembles have recently emerged in the description of dissipative quantum many-body systems as well…Gernot Akemann, Yan V. Fyodorov, Dmitry V. Savin·Nov 26, 2025SaveLearn
Sector Theory of Levin-Wen Models I : Classification of Anyon SectorsWe classify the irreducible anyon sectors of Levin-Wen models over an arbitrary unitary fusion category C, showing that they are in one-to-one correspondence with equivalence classes of…Alex Bols, Boris Kjær·Nov 26, 2025SaveLearn
New quasi-exactly solvable systems from SUSYQM and Bethe AnsatzWe give a systematic construction of new quasi-exactly solvable systems via Bethe ansatz and supersymmetric quantum mechanics (SUSYQM). Methods based on the intertwining of supercharges have been…Siyu Li, Ian Marquette, Yao-Zhong Zhang·Nov 26, 2025SaveLearn
A novel third-order accurate and stable scheme for micromagnetic simulationsHigh-fidelity numerical simulation serves as a cornerstone for exploring magnetization dynamics in micromagnetics. This work introduces a novel third-order temporally accurate and stable numerical…Changjian Xie·Nov 26, 2025SaveLearn
Asymptotics of b-6j symbols and anti-de Sitter tetrahedraIn this paper, we study the asymptotics of the 6j-symbols for the principal series of the modular double of Uqsl(2; R), and of their analytic extension -- what we call…Tianyue Liu, Shuang Ming, Xin Sun et al.·Nov 26, 2025SaveLearn
Graded Contact Geometry and the AKSZ FormalismThe AKSZ formalism is a construction of topological field theories where the target spaces are differential graded symplectic manifolds. In this paper, we describe an analogue of the AKSZ formalism…Ivan Contreras, Nicolas Martinez-Alba, Rajan Amit Mehta·Nov 25, 2025SaveLearn
A Presymplectic and Symmetry Reduced Formulation of the Maxwell Vlasov SystemWe develop a unified geometric formulation of the Maxwell-Vlasov system using the infinite-dimensional Skinner-Rusk (SR) formalism. In this framework, particles and fields are treated simultaneously…Leonardo Colombo·Nov 25, 2025SaveLearn
Triangle Inequality for a Quantum Wasserstein DivergenceWe resolve a conjecture of De Palma and Trevisan by proving the triangle inequality for a quantum 2-Wasserstein distance. The proof relies on complex analysis methods to establish a new integral…Melchior Wirth·Nov 25, 2025SaveLearn
Generalized Uncertainty Principle theory with a single constraintWe aim to analyze the consistency of the deformation of the Heisenberg algebra in the setting of constrained Hamiltonian systems, providing a procedure to induce the deformation on the Poisson…Matteo Bruno, Sebastiano Segreto·Nov 25, 2025SaveLearn
Matrix approximations of operatorsThe approximate representation of operators by finite matrices is analysed in terms of accuracy and convergence. The identity operator, for example, can be reconstructed using a basis of harmonic…B. G. Giraud, S. Karataglidis, K. Murulane et al.·Nov 25, 2025SaveLearn
Some exact solutions of the Schr\"odinger--Poisson system in spaces of constant sectional curvatureWe consider the Schr\"odinger--Poisson system on the complete, simply-connected Riemannian manifolds of constant sectional curvature. We obtain closed-form stationary spherically-symmetric solutions…Richard Chapling·Nov 25, 2025SaveLearn