Mathematical Physics · Mathematics & Statistics
Mathematical Physics
The newest papers in Mathematical Physics that ReadSearch has read, newest first. Each links to its own page, with its authors, date, where it was published and the original.
408 papers, from 31 August 2026 to 5 November 2026: 346 arXiv preprints and 62 OpenAlex records.
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Newest papers, page 4
A density calculus for quantum field theory
These notes provide an introduction to Haagerup noncommutative $L^p$ spaces for quantum field theorists.Three-dimensional QCA that are not stably circuits
We prove that the three-dimensional chiral $\Z_p$ Clifford quantum cellular automata of Haah and of Sun--Yang--Wang--Tantivasadakarn--Chen are, for every odd prime $p$, not finite-depth quantum…Bulk gap stability and spectral flow for fermions with weak long-range interactions
We prove that weak long-range many-body interactions preserve the bulk gap of a free fermion system and that a quasi-local spectral flow transports the free ground state to ground states of the…Transport in spinful non-Hermitian gauge lattices
We extend the generalized transfer-matrix method introduced in [H.Local determination of low-energy states in gapped fermion systems with weak long-range interactions
We consider bulk-gapped fermion systems whose infinite-volume bulk is obtained by adding sufficiently weak even many-body interactions to a free Hamiltonian with spectral gap $g>0$, allowing…Quantum communication: a discrimination approach
We develop a state discrimination approach to unassisted quantum communication through a noisy quantum channel.Rapid mixing for Gibbs samplers for quantum spin systems with all-to-all interactions
Understanding when quantum many-body systems rapidly converge to thermal equilibrium is a central problem in quantum statistical mechanics.Entropic Fluctuations in Quantum Statistical Mechanics: A Review
The celebrated Evans--Searles, respectively Gallavotti--Cohen, fluctuation theorem concerns certain universal statistical features of the entropy production rate of a classical system in a…Lattice moments and quantum designs
We show that the ensemble of unimodular Gottesman$-$Kitaev$-$Preskill distributions fails to form a rigged quantum $3$-design and quantify the replica defect that determines this failure.Zero-freeness for Random Regular Graphs up to the Replica Symmetry Breaking Threshold
We study antiferromagnetic spin systems on random regular graphs through the lens of the phase transitions characterized by the complex zeros of the partition function.Classical communication over quantum channels: does entanglement help in nature?
Can entangling codewords across independent uses of a quantum channel improve the rate of classical communication?Algebraic theory of abelian fractons and beyond
We develop an algebraic theory of fusion, mobility, and statistics in abelian gapped fracton orders and topological phases.On Zeros and Algorithms for Disordered Systems II: The Antiferromagnetic Ising Model up to Kesten-Stigum
We give the first polynomial-time algorithm to estimate the partition function of the antiferromagnetic Ising model on the uniformly random $d$-regular graph to arbitrarily high accuracy for all…Exceptional Points as Witnesses of Non-Gaussian Noise
Efficient control of quantum devices requires the knowledge of their environmental noise, yet the commonly measured power spectrum does not fully characterize non-Gaussian fluctuations of realistic…Proof of the entropic $c$-theorem
We prove an entropic $c$-theorem in two dimensions by constructing a $c$-function from the mutual information between spacelike separated wedges, defined through the relative entropy.Goldbach Representations in Quantum Optics and Metrology
We derive a relation between Goldbach representations and photon-number statistics in a quantum-optical setup.A Primer on Instanton Physics - A Short Course
These six lectures, delivered at the University of New Brunswick 6-21 October 2026, are an introduction to instantons in quantum mechanics and quantum field theory for senior undergraduate and…From Entanglement Bootstrap to DHR Theory
We establish a direct connection between the entanglement bootstrap and the Doplicher--Haag--Roberts theory of superselection sectors for two-dimensional quantum spin systems.The geometry of Floquet states
This paper studies the moduli space of "good" periodic Hamiltonians, i.e., periodic Hamiltonians with nondegenerate Floquet spectrum.Radial power-like potentials: from the Bohr-Sommerfeld $\ell \neq 0$ state energies to the exact ones
Two new Bohr-Sommerfeld (B-S) type quantization conditions for $d$-dimensional radial potentials are proposed for non-singular and singular potentials, respectively.