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Physics Preprint PDF DOI

Deep Strong light-matter Coupling in 3D Kane Fermions

Dmitriy Yavorskiy, David Hagenmuller, Noureddine Charrouj, Yurii Ivonyak, Alexander Kazakov, Yanko Todorov, Wojciech Knap, Marcin Bialek · 2026

Deep strong light-matter coupling represents an extreme non-perturbative regime of quantum electrodynamics, in which the interaction strength exceeds the bare frequencies of the uncoupled systems. The…

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Mathematics Preprint PDF DOI

Gauge symmetry and uniqueness in inverse problems for the JMGT equation

Dong Qiu, Xiang Xu, Yeqiong Ye, Ting Zhou · 2026

In this paper, we study an inverse boundary value problem for the Jordan--Moore--Gibson--Thompson equation on a simple Riemannian manifold. We consider an all boundary measurement map that maps Dirich…

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Physics Preprint PDF DOI

Hypergeometric Functions of Nilpotent Operators: Functional Collapse and Structural Depth at Exceptional Points

Ramon Moya · 2026

We study hypergeometric functions of nilpotent operators in finite-dimensional settings, motivated by the algebraic structure of exceptional points in non-Hermitian quantum mechanics. Our starting poi…

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Mathematics Preprint PDF DOI

Inscriptions of Isosceles Trapezoids in Jordan Curves

Adam Barber · 2026

We construct a Lagrangian Floer homology whose chain complex is generically generated by the inscriptions of isosceles trapezoids in a smooth Jordan curve. This is an extension of Greene and Lobb's Jo…

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Physics Preprint PDF DOI

Enhanced stability from co-resonant cavities in a monolithic array

Alexandra Crawford, Jacob Williamson, Robert Leonard, Ce Pei, Aniruddha Bhattacharya, Meagan Plummer, Seth Hyra, Spencer Olson, Chandra Raman · 2026

We demonstrate a micro-Fabry-P\'erot cavity array through laser etching of high-surface-quality mirrors onto a single fused silica substrate. A cavity finesse of $4750\pm 200$ was achieved with a simp…

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Computer Science Preprint PDF DOI

A proof of Jordan curve theorem based on the sweepline algorithm for trapezoidal decomposition of a polygon

Apurva Mudgal · 2026

We prove the Jordan curve theorem by generalizing the sweepline algorithm for trapezoidal decomposition of a polygon. Our proof uses Zorn's lemma (or, equivalently the axiom of choice). Though several…

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Physics Preprint PDF DOI

Finite-Window Centered Organization of Neighboring Poles

Yuye Wu, Hong-Bo Jin · 2026

Near-degenerate resonance poles arise widely in open-wave systems, including gravitational-wave ringdowns, when two neighboring modes have almost the same complex frequency. On a finite observation wi…

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Physics Preprint PDF DOI

Monodromy, Logarithmic Sectors, and Two-Point Functions in Critical Topologically Massive Gravity

Yannick Mvondo-She · 2026

We investigate the structure of logarithmic modes in critical topologically massive gravity (CTMG) at the chiral point $\mu \ell=1$ from the perspective of analytic continuation and monodromy. Startin…

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Mathematics Preprint PDF DOI

On the geometry of circumcentric directions of cones

Yunier Bello-Cruz · 2026

Behling, Bello-Cruz, Lara-Urdaneta, Oviedo, and Santos showed that the circumcentric direction $d$ of a finitely generated polyhedral cone $\KK\subset\RR^n$ admits an inscribed Euclidean ball of radiu…

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Physics Preprint PDF DOI

Exponentially improved quantum simulation of scalar QFT

Qing-Hong Cao, Ying-Ying Li, Xiaohui Liu, Liang-Qi Zhang, Ke Zhao · 2026

Quantum simulations of scalar quantum field theories (QFT) provide important benchmarks for demonstrating quantum advantage. We revisit digitization in the occupation basis, which is typically hindere…

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Mathematics Preprint PDF DOI

On simple transposed Poisson algebras

Amir Fernandez Ouaridi · 2026

We develop a structure theory for transposed Poisson algebras over fields of characteristic different from two. In particular, we prove that every finite-dimensional transposed Poisson algebra over an…

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Physics Preprint PDF DOI

Beyond Single Trajectories: Optimal Control and Jordan-Lie Algebra in Hybrid Quantum Walks for Combinatorial Optimization

Tianen Chen, Yun Shang · 2026

The Quantum Approximate Optimization Algorithm (QAOA) follows a single, fixed evolution path, overlooking the potential computational advantage of coherently superposing multiple trajectories. Here we…

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Mathematics Preprint PDF DOI

Faithful perversities

Alessio Cipriani, Jon Woolf · 2026

We show that the faithful highest weight hearts in an algebraic triangulated category are the serially faithful glued hearts, equivalently the hearts containing a dual pair of full exceptional collect…

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Mathematics Preprint PDF DOI

Large flats in large subgraphs of fine curve graphs

Ryan Dickmann, Roberta Shapiro · 2026

The fine curve graph of a surface is a graph whose vertices are essential simple closed curves and whose edges connect disjoint curves. Following a rich history of hyperbolicity of various graphs asso…

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Engineering Preprint PDF DOI

Interval Observer Design Using Observability Decomposition for Detectable Linear Systems

Gia Quoc Bao Tran, Thach Ngoc Dinh, Zhenhua Wang · 2026

We provide a systematic interval observer design method for detectable linear time-invariant (LTI) systems, where a part of the state is observable from the measured output. An observability-based inv…

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Physics Preprint PDF DOI

Tightening energy-based boson truncation bound using Monte Carlo-assisted methods

Jinghong Yang, Christopher F. Kane, Shabnam Jabeen · 2026

Quantum simulation offers a promising framework for quantum field theory calculations. Obtaining reliable results, however, requires careful characterization of systematic uncertainties. One important…

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Physics Preprint PDF DOI

Bouncing cosmologies from Born-Infeld-type gravity

Yermek Aldabergenov, Wei Lin, Rongjian Li, Ding Ding, Yidun Wan · 2026

We construct a Born-Infeld-type $f(R,{\cal G})$ modification of gravity, where ${\cal G}$ is the Gauss-Bonnet term, by embedding Born-Infeld electrodynamics in a five-dimensional pure modified gravity…

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Physics Preprint PDF DOI

An archive of reduced and telluric-corrected CRIRES+ L- and M-band spectra with slit-tilt and wavelength calibrations

Thomas Marquart, Alexis Lavail · 2026

The high-resolution near-infrared spectrograph CRIRES+ at ESO VLT covers the Y, J, H, K, L and M bands. The U-Ne and Fabry-Perot calibration light sources, however, only work up to the K-band, leaving…

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Physics Preprint PDF DOI

Three-core fiber Fabry-Perot resonator for dual-frequency comb generation

Thomas Bunel, Antonio Cutrona, Debanuj Chatterjee, Damien Labat, Vincent Andrieux, Geraud Bouwmans, Andy Cassez, Antonin Moreau, Julien Lumeau, Manal Arbati, Alexis Bougaud, Benjamin Wetzel, Alessia Pasquazi, Matteo Conforti, Arnaud Mussot · 2026

Fiber Fabry-Perot resonators have proven their ability to generate broad and stable optical frequency combs, and are ideal devices for fiber systems as they are high-Q, compact, and easily integrated …

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Physics Preprint PDF DOI

Molecular-optomechanical phonon laser

Bin Yin, Jie Wang, Qian Zhang, Deng Wang, Tian-Xiang Lu, Hui Jing · 2026

Molecular cavity optomechanics (COM) leverages ultrastrong interactions between confined optical fields and high-frequency molecular vibration, providing a unique platform for exploring high-frequency…

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