Mathematical Physics · Mathematics & Statistics
Mathematical Physics
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408 papers, from 31 August 2026 to 5 November 2026: 346 arXiv preprints and 62 OpenAlex records.
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Newest papers, page 3
Lieb-Robinson Light Cones in Long-Range Bosonic Systems
Lieb-Robinson bounds formulate emergent causality in quantum many-body dynamics.Binary Quantum Hypothesis Testing with a Rejection Option: The Exact Error-Exponent Trade-off
We characterize the exact error-exponent trade-off in binary quantum hypothesis testing with a rejection option for faithful states on a finite-dimensional Hilbert space.Nonlinear Dynamics in Periodically Distributed Fibre Amplification Systems
We investigate effects of longitudinally varying nonlinearity on periodically distributed amplification systems in optical fibres.Density functionals for the Pauli-Fierz Hamiltonian
We develop a density-functional theory for the Pauli-Fierz Hamiltonian of nonrelativistic quantum electrodynamics in the spirit of the convex-analytic formulation of Lieb.Exponential suppression of bit-flip errors in dissipative cat qubits
We study the infinite-dimensional Lindblad generator $L_ε=D[a^2-α^2]+εD[a]$, describing a dissipative cat qubit subject to single-photon loss.Maximum purity of absolutely separable and absolutely PPT states in qutrit--qudit systems
A bipartite state is absolutely positive partial transpose (APPT) if it remains PPT under every global unitary transformation, and absolutely separable if it remains separable.Convergence of non-symmetric forms with changing reference measures
We develop a functional-analytic theory of convergence for non-symmetric generalized Dirichlet forms defined on a sequence of Hilbert spaces $H_n$ converging to a limit space $H$ in the sense of…Longitudinal electric corner modes in continuum quantum gauge theory with matter
Subregions in gauge theories give rise to edge modes and corner charges supported on their boundaries.AMPERe: an exactly divergence-free quadrature-by-expansion evaluator for near-surface Biot--Savart and virtual-casing fields in fusion geometries
Accurate magnetic-field evaluation on and near current-carrying surfaces is a recurring computational bottleneck in magnetic-confinement fusion.Mathematical foundations of second quantization: an introduction through spin-boson models
These lecture notes originate from a one-semester course on the mathematical foundations of second quantization, first given at the Department of Physics of the Friedrich-Alexander-Universität…Persistence of Unitary Almost Mathieu Operator Gaps Ten Dry Martinis, Five on the Rim
We determine exactly which gap labels are realized by open spectral gaps for the unitary almost Mathieu operator at every irrational frequency and all coupling constants ($0<λ_1,λ_2\leq1$).Time-optimal quantum dynamics under fixed-norm generators
We investigate the dynamics of quantum systems whose evolution is governed by linear generators of fixed unitarily invariant norm.Exhaustive Construction of Generalized Parent Hamiltonians for Matrix Product States
Characterizing local Hamiltonians that host interesting many-body states as eigenstates has been an important problem in quantum many-body physics.Distance to integrability and complexity
We consider nearest-neighbour interactions on spin-1/2 chains.Phase-space dynamics and multicomponent wave-packet structures in the Dunkl anharmonic oscillator
We study the phase-space dynamics and multicomponent wave-packet structures of the Dunkl anharmonic oscillator (Kerr medium).Beyond energy bounds: comparing Schrödinger eigenstates
We derive eigenstate comparisons from ordered Schrödinger operators, extending energy bounds to overlaps, spatial distributions and nodes.Analytic Solutions To Fully Quantized Parametric Amplification
We derive analytic expressions for observable dynamics under the fully quantized trilinear Hamiltonian, governing quantum three-wave mixing and parametric amplification.Pöschl-Teller type of Jaynes-Cummings Hamiltonians: SUSY transformations
The aim of this work is to define and investigate the generalized Jaynes-Cummings (JC) Hamiltonian by means of supersymmetric (SUSY) quantum mechanics methods.Sharp Tilting Inequalities
For positive semidefinite matrices $A,B$ and $1/2\leα\le1$, we establish $\operatorname{Tr}\!\left[A\,D\log(A^α+B^α)(B^α)\right] \le s^s(1-s)^{1-s}\operatorname{Tr}[A^αB^{1-α}]$, where $s=(1-α)/α$…Going deep, reaching further: What can Boltzmann machines efficiently represent?
While universal approximation theorems theoretically underpin the representation capabilities of machine learning models, they have two shortcomings: They do not focus on efficient representations…