From the 1 of 5 linked papers with an AI index.
5 papers
A Census of New Snake-in-the-Box Records
Paul Orland, Lucas Fagan, Michele Tarquini +7
The paper presents new longest induced (chordless) paths, called snakes, in hypercube graphs for dimensions 9 through 13, thereby improving the known lower bounds for the snake-in-…
Open Quantum Systems Driven by Chirped Pulses: Quantized versus Semiclassical Fields and the Validity of the Rotating-Wave Approximation
Justin Zhengjie Tan, Frank GroÃmann, Yiying Yan +2
Population transfer via chirped rapid adiabatic passage is studied using open quantum and semiclassical models, with and without the rotating-wave approximation. A time-dependent v…
Hermitian Yang--Mills connections on general vector bundles: geometry and physical Yukawa couplings
Challenger Mishra, Justin Tan
We compute solutions to the Hermitian Yang-Mills equations on holomorphic vector bundles via an alternating optimisation procedure founded on geometric machine learning. The pr…
Quantum phase transition of sub-Ohmic spin-boson models: An approach by the multiple Davydov D2 Ansatz
Justin Tan, Nengji Zhou, Yang Zhao
The ground state properties and quantum phase transitions of sub-Ohmic spin-boson models are investigated using the multiple Davydov D2 Ansatz in conjunction with the variational p…
cymyc -- Calabi-Yau Metrics, Yukawas, and Curvature
Per Berglund, Giorgi Butbaia, Tristan Hübsch +4
We introduce \texttt{cymyc}, a high-performance Python library for numerical investigation of the geometry of a large class of string compactification manifolds and their associate…