We demonstrate that vision transformer architectures provide efficient and accurate variational ansätze for quantum impurity models, outperforming matrix product states in parameter efficiency. The approach extends naturally to the computation of dynamical quantities such as X-ray absorption spectra.

In collaboration with experimental groups, we report highly anisotropic charge dynamics in the trilayer nickelate La₄Ni₃O₁₀, revealing distinct behavior that sheds light on the electronic structure of this recently discovered material family.

We study how oxygen defects drive a dual instability of superconductivity in La₃Ni₂O_7+δ, providing insight into the sensitivity of nickelate superconductivity to structural disorder.

We introduce a neural network-based solver for the quantum impurity problem that operates directly at real frequencies, eliminating the need for analytic continuation within the DMFT framework.

We study the transient RIXS response of the transverse field Ising chain driven by a pump pulse. The low-energy spectra exhibit oscillatory features that correspond one-to-one with dynamical quantum phase transitions, offering an experimentally accessible route to their detection.

Using DMRG, we map out the ground-state phase diagram of the spin-1 bilinear-biquadratic Kitaev chain and uncover two Kitaev-induced phases: a Kitaev nematic phase arising via an Ising quantum critical point, and a Kitaev dimer phase that spontaneously breaks screw symmetry.

In collaboration with experimental groups, we report that lithium intercalation in FeSe gives rise to coexisting ferromagnetism and high-temperature superconductivity — a rare example of two typically competing orders.