About Me
I am a PhD student in the Correlated Quantum Materials group at Aalto University, Finland, working at the intersection of condensed matter theory and light-matter interactions. My current research focuses on van der Waals multiferroics and tensor network methods.
My interests span a broad swath of condensed matter physics, from magnetism and topology to disorder and quasicrystals, as well as nano- and quantum optics. I am also interested in quantum information theory, quantum computation, and the many ways quantum field theory and higher mathematics illuminate the physics of materials.
Explore my thoughts and notes on these topics in the blog!
Latest Publications
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Tensor Network Solvers for Ultra-large Tight-binding Hamiltonians: Algorithms and Applications
Antão, Moustaj, Sun, Lado. A tensor network framework for solving tight-binding problems on systems with billions of sites, implemented in TensorBinding.jl.
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Tensor-network methodology for super-moiré excitons beyond one billion sites
Moustaj, Sun, Antão, Eek, Lado. Tensor network approach to simulate excitons in super-moiré systems at the billion-site scale.
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Tensor network method for real-space topology in quasicrystal Chern mosaics
Antão, Sun, Fumega, Lado. Real-space topological invariants in quasicrystalline systems computed via tensor networks.
Latest Posts
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C-linear categories, simplicity and semisimplicity
Introducing C-linear categories, semisimplicity, direct sums, and how linear structure organizes a category into "matrix blocks" built from irreducibles.
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Pivotal and ribbon categories
The notion of pivotal categories, where the double dual of an object is equivalent to the object itself, and the concept of ribbon categories.
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Dual objects in category theory
Dual objects and dualizability, capturing the notion of maximally entangled states in categorical quantum mechanics.