Blog
Universal Kerr effect in A-type antiferromagnets
Magneto-optic Kerr effect (MOKE) is a powerful probe of broken time-reversal symmetry ($\mathcal{T}$), typically used to study ferromagnets. While MOKE has been observed in some antiferromagnets (AFMs) with vanishing magnetization, it is often associated with structures whose symmetry is lower than basic...
The existence and local uniqueness of the eigenfunctions of the non-linear operator $ Δ_H u^{n}$ in the hyperbolic Poincaré half-plane
In this article we find locally an eigenfunctions for a particular nonlinear hyperbolic differential operator $\Delta_H u^{n}$, where $\Delta_H$ is the hyperbolic Laplacian in the half-plane of Poincair\’e. We have proved that these eigenfunctions are an analytic and non-exact whose coefficients satisfy...
A detection-task-specific deep-learning method to improve the quality of sparse-view myocardial perfusion SPECT images
Myocardial perfusion imaging (MPI) with single-photon emission computed tomography (SPECT) is a widely used and cost-effective diagnostic tool for coronary artery disease. Cependant, the lengthy scanning time in this imaging procedure can cause patient discomfort, motion artifacts, and potentially inaccurate diagnoses due...
Physics-Informed Inference Time Scaling via Simulation-Calibrated Scientific Machine Learning
High-dimensional partial differential equations (PDEs) pose significant computational challenges across fields ranging from quantum chemistry to economics and finance. Although scientific machine learning (SciML) techniques offer approximate solutions, they often suffer from bias and neglect crucial physical insights. Inspired by inference-time scaling...
A rank-$2$ vector bundle on ${\mathbb P}^2\times {\mathbb P}^2$ and projective geometry of nonclassical Enriques surfaces in characteristic 2
We construct a rank-$2$ indecomposable vector bundle on $\mathbb P^2\times\mathbb P^2$ in characteristic $2$ that does not come from a bundle on $\mathbb P^2$ by factor projection nor from a bundle on $\mathbb P^{m} $ by central projection. We show that the...
Gapfull and gapless $1$D Topological Superconductivity in Spin-Orbit Coupled Bilayer Graphene
We propose a way to generate a one-dimensional topological superconductor from a monolayer of a transition metal dichalcogenide coupled to a Bernal-stacked bilayer of graphene under a displacement field. With proper gating, this structure may be tuned to form three parallel pads...
Turbulent heating in collisionless low-beta plasmas: imbalance, Landau damping, and electron-ion energy partition
An understanding of how turbulent energy is partitioned between ions and electrons in weakly collisional plasmas is crucial for modelling many astrophysical systems. Using theory and simulations of a four-dimensional reduced model of low-beta gyrokinetics (the `Kinetic Reduced Electron Heating Model’), we...
Synthetic Horizons and Thermalization in an Atomic Chain and its Relation to Quantum Hall Systems
We investigate the sine model, a one-dimensional tight-binding Hamiltonian featuring hoppings with a sinusoidal dependence on position, and demonstrate the formation of synthetic horizons where electronic wave packets exhibit exponential slowdown. Interestingly, employing the exact transformation between this model and the Harper...
On a modified quantum theory with objective quantum thermalization and spontaneous universal irreversibility
The deterministic and time-reversal symmetric dynamics of isolated quantum systems is at odds with irreversible equilibration observed in generic thermodynamic systems. Standard approaches at a reconciliation are based on agent-specific restrictions on the space of observables or states and do not explain...
Unifying Measurement Schemes in 2-D Terahertz Spectroscopy
Two distinct measurement schemes have emerged for the new technique of two-dimensional terahertz spectroscopy (2DTS), complicating the literature. Here, we argue that the ‘conventional’ measurement scheme derived from nuclear magnetic resonance and its optical-frequency analogues should be favored over the ‘alternative’ measurement...