13 citations · 21 across the 8 of their papers we have counts for
9 papers
New Records for the Hadamard Maximal Determinant Problem
Giorgi Butbaia, Pragatheeswaran Vipulanandan, Justin Tan +6
The Hadamard maximal determinant problem seeks an matrix with entries in , which maximizes the determinant for a given order $n \in…
New Snake-in-the-Box Records via Snakepit Surgery and Learned Construction
Paul Orland, Lucas Fagan, Michele Tarquini +7
The snake-in-the-box problem asks for a longest induced path in the hypercube graph . We find a length-191 snake in dimension , the lowest dimension where the maximum is…
Open Quantum Systems Driven by Chirped Pulses: Quantized versus Semiclassical Fields and the Validity of the Rotating-Wave Approximation
Justin Zhengjie Tan, Frank Großmann, 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…
Precision String Phenomenology
Per Berglund, Giorgi Butbaia, Tristan Hübsch +4
Calabi--Yau compactifications of the heterotic string provide a promising route to recovering the four-dimensional particle physics described by the Standard Model.…
Physical Yukawa Couplings in Heterotic String Compactifications
Giorgi Butbaia, Damián Mayorga Peña, Justin Tan +4
One of the challenges of heterotic compactification on a Calabi-Yau threefold is to determine the physical Yukawa couplings of the resulting four-dimensional $\ma…
Machine Learned Calabi-Yau Metrics and Curvature
Per Berglund, Giorgi Butbaia, Tristan Hübsch +4
Finding Ricci-flat (Calabi-Yau) metrics is a long standing problem in geometry with deep implications for string theory and phenomenology. A new attack on this problem uses neural…