Floquet theory
View article: Parametrically-Driven Topological Superconductivity in Strained ZrTe5 Nanolayers
Parametrically-Driven Topological Superconductivity in Strained ZrTe5 Nanolayers Open
Description (Abstract): We propose a novel mechanism for inducing superconductivity in quasi-one-dimensional Dirac semimetals through resonant acoustic strain modulation. By engineering a 210 nm thin film of ZrTe5 under 1.5% tensile strain…
View article: Parametrically-Driven Topological Superconductivity in Strained ZrTe5 Nanolayers
Parametrically-Driven Topological Superconductivity in Strained ZrTe5 Nanolayers Open
Description (Abstract): We propose a novel mechanism for inducing superconductivity in quasi-one-dimensional Dirac semimetals through resonant acoustic strain modulation. By engineering a 210 nm thin film of ZrTe5 under 1.5% tensile strain…
View article: A Clean 2D Floquet Logical Qubit from a Purely Imaginary Phase Drive
A Clean 2D Floquet Logical Qubit from a Purely Imaginary Phase Drive Open
We present a disorder-free, two-dimensional Floquet stabilization mechanism that maintains a clean periodic orbit for more than 5000 cycles on a $30\times30$ square lattice. The drive consists of a global transverse field and a purely imag…
View article: TV–TIC Dynamics V: Fermions and Chirality
TV–TIC Dynamics V: Fermions and Chirality Open
This work develops the emergence of fermionic degrees of freedom within the TV–TIC framework, demonstrating that the defining properties of fermions—exclusion, spin-$\tfrac{1}{2}$ structure, chirality, and gauge interactions—arise naturall…
View article: TV–TIC Dynamics V: Fermions and Chirality
TV–TIC Dynamics V: Fermions and Chirality Open
This work develops the emergence of fermionic degrees of freedom within the TV–TIC framework, demonstrating that the defining properties of fermions—exclusion, spin-$\tfrac{1}{2}$ structure, chirality, and gauge interactions—arise naturall…
View article: Elliptic functions, Floquet transform and Bergman spaces on doubly periodic domains
Elliptic functions, Floquet transform and Bergman spaces on doubly periodic domains Open
We study Bergman spaces A^2(D), their kernels and Toeplitz operators on unbounded, doubly periodic domains D in the complex plane. We establish the mapping properties of the Floquet transform operator defined in A^2(D) and derive a general…
View article: Stability Analysis of Stage–Structured Prey with Selective Harvesting in a Predator–Prey Model
Stability Analysis of Stage–Structured Prey with Selective Harvesting in a Predator–Prey Model Open
This research examines the dynamics of a two-species model in the context of harvesting. One species is divided into immature and mature prey subpopulations, while the other is categorised as a predator. The various types of functional res…
View article: Persistent oscillatory modes in Markovian open quantum systems
Persistent oscillatory modes in Markovian open quantum systems Open
View article: The R-Theory Lagrangian
The R-Theory Lagrangian Open
This work develops a covariant field-theoretic Lagrangian for R-theory, a resonance-based interpretation of physics in which reality emerges from a non-spatiotemporal zero-field background 𝕆. The zero-field is modeled as a coherence conden…
View article: A Clean 2D Floquet Logical Qubit from a Purely Imaginary Phase Drive
A Clean 2D Floquet Logical Qubit from a Purely Imaginary Phase Drive Open
We present a disorder-free, two-dimensional Floquet stabilization mechanism that maintains a clean periodic orbit for more than 5000 cycles on a $30\times30$ square lattice. The drive consists of a global transverse field and a purely imag…
View article: Persistent oscillatory modes in Markovian open quantum systems
Persistent oscillatory modes in Markovian open quantum systems Open
View article: Floquet Topological Frequency-Converting Amplifier
Floquet Topological Frequency-Converting Amplifier Open
We introduce a driven-dissipative Floquet model in which a single harmonic oscillator with modulated frequency and decay realizes a non-Hermitian synthetic lattice with an effective electric field gradient in frequency space. Using the Flo…
View article: Elliptic functions, Floquet transform and Bergman spaces on doubly periodic domains
Elliptic functions, Floquet transform and Bergman spaces on doubly periodic domains Open
We study Bergman spaces A^2(D), their kernels and Toeplitz operators on unbounded, doubly periodic domains D in the complex plane. We establish the mapping properties of the Floquet transform operator defined in A^2(D) and derive a general…
View article: Floquet Topological Frequency-Converting Amplifier
Floquet Topological Frequency-Converting Amplifier Open
We introduce a driven-dissipative Floquet model in which a single harmonic oscillator with modulated frequency and decay realizes a non-Hermitian synthetic lattice with an effective electric field gradient in frequency space. Using the Flo…
View article: The R-Theory Lagrangian
The R-Theory Lagrangian Open
This work develops a covariant field-theoretic Lagrangian for R-theory, a resonance-based interpretation of physics in which reality emerges from a non-spatiotemporal zero-field background 𝕆. The zero-field is modeled as a coherence conden…
View article: Dynamical Evolution of the Informational Stiffness Field: Wave Propagation in Curved Spacetime
Dynamical Evolution of the Informational Stiffness Field: Wave Propagation in Curved Spacetime Open
Dynamical Evolution of the Informational Stiffness Field: Wave Propagation in Curved Spacetime develops the time-dependent structure of the informational stiffness field introduced in the Unified Recursion Theory (URT) framework. Building …
View article: The Resonance Interpretation of the Double-Slit Experiment v2
The Resonance Interpretation of the Double-Slit Experiment v2 Open
This work presents The Resonance Interpretation of the Double-Slit Experiment, a reformulation of one of the most iconic experiments in quantum mechanics. Traditionally, the double-slit experiment demonstrates the paradox of wave–particle …
View article: Dynamical Evolution of the Informational Stiffness Field: Wave Propagation in Curved Spacetime
Dynamical Evolution of the Informational Stiffness Field: Wave Propagation in Curved Spacetime Open
Dynamical Evolution of the Informational Stiffness Field: Wave Propagation in Curved Spacetime develops the time-dependent structure of the informational stiffness field introduced in the Unified Recursion Theory (URT) framework. Building …
View article: Real-time collisions of fractional charges in a trapped-ion Jackiw-Rebbi field theory
Real-time collisions of fractional charges in a trapped-ion Jackiw-Rebbi field theory Open
We propose and analyze a trapped-ion quantum simulator of the Jackiw-Rebbi model, a paradigmatic quantum field theory in (1+1) dimensions where solitonic excitations of a scalar field can bind fermionic zero modes leading to fractionally c…
View article: Real-time collisions of fractional charges in a trapped-ion Jackiw-Rebbi field theory
Real-time collisions of fractional charges in a trapped-ion Jackiw-Rebbi field theory Open
We propose and analyze a trapped-ion quantum simulator of the Jackiw-Rebbi model, a paradigmatic quantum field theory in (1+1) dimensions where solitonic excitations of a scalar field can bind fermionic zero modes leading to fractionally c…
View article: Floquet states on disclinations
Floquet states on disclinations Open
We show that periodic longitudinal modulation of waveguide arrays with disclination can result in the appearance of previously unexplored Floquet modes bound to the disclination core. Such modes arise due to oscillations of the waveguides …
View article: Floquet states on disclinations
Floquet states on disclinations Open
We show that periodic longitudinal modulation of waveguide arrays with disclination can result in the appearance of previously unexplored Floquet modes bound to the disclination core. Such modes arise due to oscillations of the waveguides …
View article: Varied Branches of Nondegenerate Vector Solitons
Varied Branches of Nondegenerate Vector Solitons Open
Our study on nondegenerate dark-bright-bright solitons in a three-component Manakov model with repulsive interactions reveals the existence of diverse branches of nondegenerate vector solitons. For fixed bright component particle numbers a…
View article: A Present-Moment Singularity in an Eternal Universe: Chronovibration, Time Symmetry, and the Rejection of Linear Time in the Aether Physics Model
A Present-Moment Singularity in an Eternal Universe: Chronovibration, Time Symmetry, and the Rejection of Linear Time in the Aether Physics Model Open
This article develops a present-moment Singularity for the Aether Physics Model (APM) within the Quantum Measurement Units (QMU) formalism and applies it to cosmology. In APM, time is not a linear coordinate but a bidirectional chronovibra…
View article: Fractal Time Crystals via Temporal Dual-Spectral Resonance: A Framework for Multi-Scale Temporal Symmetry Engineering
Fractal Time Crystals via Temporal Dual-Spectral Resonance: A Framework for Multi-Scale Temporal Symmetry Engineering Open
Temporal order in periodically driven systems has emerged as a new paradigmin modern physics, following the discovery of discrete time crystals (DTCs).Building on these foundations, this work introduces a theoretical framework forFractal T…
View article: Enhancing ground-state interaction strength of neutral atoms via Floquet stroboscopic dynamics
Enhancing ground-state interaction strength of neutral atoms via Floquet stroboscopic dynamics Open
Neutral atom systems are promising platforms for quantum simulation and computation, owing to their long coherence times. However, their intrinsically weak ground-state interactions pose a major limitation to the advancement of scalable qu…
View article: SymC: A Phenomenological Boundary Postulate for Quantum–Classical Convergence
SymC: A Phenomenological Boundary Postulate for Quantum–Classical Convergence Open
Version 3 explicitly identifies χ = 1 as a second-order exceptional point (EP₂) where eigenvalues and eigenvectors coalesce, updates the information-efficiency argument that broadens the χ-window to 0.8–1.0, and strengthens the substrate-i…
View article: A Present-Moment Singularity in an Eternal Universe: Chronovibration, Time Symmetry, and the Rejection of Linear Time in the Aether Physics Model
A Present-Moment Singularity in an Eternal Universe: Chronovibration, Time Symmetry, and the Rejection of Linear Time in the Aether Physics Model Open
This article develops a present-moment Singularity for the Aether Physics Model (APM) within the Quantum Measurement Units (QMU) formalism and applies it to cosmology. In APM, time is not a linear coordinate but a bidirectional chronovibra…
View article: A brief overview of spectral perturbation Theory
A brief overview of spectral perturbation Theory Open
The aim of this article is to present a brief overview of spectral perturbation theory for matrices, bounded linear operators and holomorphic operator-valued functions. We focus on bounds for perturbed eigenvalues, eigenvectors and invaria…
View article: Enhancing ground-state interaction strength of neutral atoms via Floquet stroboscopic dynamics
Enhancing ground-state interaction strength of neutral atoms via Floquet stroboscopic dynamics Open
Neutral atom systems are promising platforms for quantum simulation and computation, owing to their long coherence times. However, their intrinsically weak ground-state interactions pose a major limitation to the advancement of scalable qu…