My Research Interests

I am a physicist working on condensed matter theories, in particular, strongly correlated quantum many-body systems, and topological orders.

Classification of SET states.

Symmetry-enriched topological phases (SET) exhibit both long-range entanglement and intricate interplay with global symmetries, such as anyon-permuting symmetry actions and fractionalizations of quantum numbers. Part of my research focus on the classification of such SET states.

Z2 SET w/ e-m duality.
A lattice model realizing a Z2 topologicalorder with a global Z2 symmetry, with the symmetry exchanginge and m anyons.

Accelerating QMC using Machine Learning.

Quantum Monte Carlo is a powerful approach to simulate quantum many-body systems numerically. Using the recent advances in Machine Learning, we develop new algorithms that accelerate QMC simulations.

Autocorrelation times.
A comparison showing the acceleration of the new self-learning algorithm.

Quantum spin liquids with topological orders.

Quantum spin liquids belong to a new class of quantum states of matter, known as the topological orders. Part of my research focus on theories of quantum spin liquids, and possible realizations in frustrated quantum magnets.

Dimers.
Illustration of an RVB state, an example of a quantum spin liquid state.