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 2
Beyond the Bochner Method: Optimal Spectral Gaps for Block Dynamics of Spin Systems like the $O(N)$ Model
Let $μ$ be a probability distribution on a spin system with $n$ sites and possibly infinite spin spaces.Spectral measures and sharpness of quantum speed limits
Quantum speed limits bound the time required for a given state to evolve into a given subspace of the Hilbert space under specific energy constraints.Raychaudhuri-Ehlers Kinematics on Quantum State-Space: Caustics and Extrinsic Quantum Geometry
Quantum mechanics is inherently geometric in that the pure states form a curved complex manifold and the Schrödinger evolution defines a Hamiltonian flow on this space.Dynamical Signatures of Selective Gap Closing in Multi-Dimensional Monotone Quasiperiodic Operators
We translate the spectral gap-closing criterion for multi-dimensional monotone quasiperiodic Schrödinger operators into a concrete dynamical protocol and verify it by large-scale numerics.Computational performance versus numerical accuracy in the acoustic terms of weakly-compressible SPH
Accurate computation of the acoustic terms in weakly-compressible SPH, including the equation of state, its inverse, and the evaluation of the local speed of sound, is essential to ensure energy…Geometric Phase and Spinor Beam Dynamics of Paraxial Beams
We show that treating a paraxially propagating electric field as a spinor provides a natural way to include geometric phase in beam propagation models.Online Algorithms Cannot Find Isolated Perceptron Solutions
The binary perceptron problem asks for a length-$n$ sign vector in the intersection of $\lfloor αn\rfloor$-many independent random Gaussian half-spaces.Lossless propagation bounds for long-range fermionic interactions
We prove propagation estimates for extensive fermionic many-body interactions with polynomial time growth, no loss of spatial decay, and an optimal threshold for the polynomial spatial exponent.Quantum tomography on Schwartz space
In this work we show that standard results in quantum tomography, which are typically proven in the context of Hilbert spaces, can analogously be established in the theory of Schwartz spaces.Lee-Yang theorems for $q$-deformed oscillators and doubly-scaled SYK
We show that the vacuum partition function of the $q$-deformed oscillator \[ L_q(z):= \langle0|e^{zT_q}|0\rangle, \qquad T_q := \mathsf{a}_q + \mathsf{a}_q^* \] satisfies the Lee-Yang property…Purity maxima, absolute separability, and spectral volumes of absolutely PPT states
For $m\otimes n$ systems with $n\ge m\ge3$, we determine the exact maximum purity of absolutely positive partial transpose (APPT) states and the unique maximizing ordered spectrum when $n\ge2m^2-4$…Near-Optimal Learning of Quantum Many-Body Systems from Gibbs and Thermal Metastable States via the Stationarity Test
We study the problem of learning a finite-range quantum Hamiltonian on an $n$-qubit $D$-dimensional lattice from copies of its Gibbs states at a known inverse temperature $β$ or its thermal…An Observable-Algebra Approach to Quantum Coherence in Anyonic Systems
Physical restrictions on operations can make quantum coherence inaccessible.Tensor Contraction with ZX Calculus, a Graph-Theoretic Approach
Tensors are higher dimensional generalisations of vectors and matrices.Classical and Quantum Logics with Multiple Non-Equivalent and Non-Isomorphic Models
Both quantum and classical logics have several mutually non-equivalent and non-isomorphic models as has repeatedly been proved in the literature.Detection times are not local observables in quantum field theory
Detection times are routinely recorded in quantum experiments.Classical and Quantum Dynamics in State Space: Projective Hilbert Space, Measurement, and Classical Emergence
We develop a geometric formulation of classical and quantum dynamics in which projective Hilbert space is taken as the primary state space and classical configuration and phase spaces arise as…Lieb-Robinson bounds for Bose-Hubbard Hamiltonians via path expansions
We study the transport properties of Bose-Hubbard-type Hamiltonians.Boosted Physics-Informed Neural Networks for Solving Homogeneous and Non-Homogeneous Lane-Emden Type Equations
The Lane-Emden Equation is a class of nonlinear differential equations commonly used to model phenomena in astrophysics and mathematical physics, such as stellar structure and thermal behavior in…Leaving Quantum Bias on the Table: Pushforwards as a Path to Quantum Advantage in Constrained Optimization
Constrained quantum samplers often produce infeasible outputs that retain information about good feasible solutions.