Correlated Quantum Many-Body System

Quantum mechanics governs the microscopic degrees of freedom of electrons and spins. When strongly interacting, these systems can exhibit exotic collective phenomena beyond the simple sum of individual behaviors. Studying quantum many-body systems has important practical applications, from designing new materials to building quantum devices.

Unconvensional Superconductor

Quantum Spin Liquid

  • Iridates and Kitaev spin liquid

Fermi Liquid and Non-Fermi Liquid

Topological Phases of Matter

Discovering new quantum phases is an exciting frontier of condensed matter physics. Topological phases exhibit exotic properties beyond traditional paradigms. Studying them has advanced quantum many-body theory and may enable new experimental realizations.

Topological Phases

  • Classification of bosonic and fermionic SPT phases

  • Bulk SPT order and surface anomaly

  • Topological order and twist defects

  • Higher-rank gauge theory

Topological Phase Transitions

Quantum Entanglement Dynamics

Quantum entanglement connects topics of topological order, localization, and quantum chaos. It shares similarities with wormholes, motivating holographic duality ideas. Understanding entanglement structure and dynamics may provide insights into fundamental questions of decoherence, thermalization, and gravity.

Many-Body Localization (MBL)

  • Spectrum bifurcation renormalization group

Random Quantum Circuits and Measurements

Structure and Dynamics of Entanglement

Machine Learning and Physics

Artificial intelligence is influencing all scientific fields, including physics. Physicists are also providing insights into the nature of intelligence. The combination of machine learning and physics is just beginning, with much potential still to be explored.

Deep Learning, Renormalization, and Holography

Machine Learning and Quantum Physics