Correlated Quantum ManyBody System
Electrons and spins are microscopic degrees of freedom governed by quantum mechanics. When they are put together and interact with each other strongly, exotic collective phenomena can emerge in the system, which goes beyond the simple sum of the behavior of each individual. The study of quantum manybody systems also has important practical applications, ranging from designing correlated materials to making quantum devices.
Unconvensional Superconductor

Ironbased superconductors
Quantum Spin Liquid
 Iridates and Kitaev spin liquid
NonFermi Liquid
 SachdevYeKitaev model(s)
Topological Phases of Matter
Discovering new phases of matter lies on the frontier of condensed matter physics. Topological phases are such exotic quantum phases that go beyond our traditional understanding. The study of topological phases has led to many exciting developments in quantum manybody theory. The unique features of topological phases are being tested in current numerical simulations and may also find experimental realizations in the near future.
Topological Phases

Classification of bosonic and fermionic SPT phases

Bulk SPT order and surface anomaly

Topological order and twist defects

Higherrank gauge theory
Topological Phase Transitions

Duality in quantum field theory
Quantum Entanglement Dynamics
Quantum entanglement is the most intriguing phenomenon in quantum mechanics, connecting topics of topological order, manybody localization, and quantum chaos. It also shares a remarkable similarity with wormholes given their nonlocal nature, which motivates the idea of holographic duality between entanglement and spacetime. Understanding the structure and dynamics of manybody entanglement could allow us to answer some most profound questions about decoherence, thermalization, and (maybe eventually) the nature of gravity.
ManyBody Localization (MBL)
 Spectrum bifurcation renormalization group
Random Quantum Circuits and Measurements

Measurementinduced entanglement transition
Structure and Dynamics of Entanglement
Machine Learning and Physics
Artificial intelligence (AI) is a promising trend of future technology. It is finding more and more applications in all branches of science (including physics). On the other hand, physicists are also bringing their intuitions and tools to the AI research, trying to decipher the nature of intelligence. The combination between machine learning and physics is just at its beginning stage, and much potential is to be released.
Deep Learning, Renormalization, and Holography

Deep learning holography