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1 -Meijian Li
1 +Anxo Fariña Biasi
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1 -=== Quantum simulation of real-time dynamics in high-energy physics ===
2 -==== Supervisor: Wenyang Qian
1 +=== Energy Transfer and Structure Formation in Hamiltonian equations ===
2 +==== Supervisor: Anxo Fariña Biasi
3 3  ====
4 4  
5 -We will work on quantum simulation of real-time dynamics for high-energy physics problems using the tensor network and digital quantum computing approaches. We start with the Ising model to get familiarity with quantum simulation and then move on to more advanced real-time simulation of quantum field theory including lattice gauge theory relevant to topics in high-energy physics. Familiarity with quantum mechanics and programming are required. Background in quantum information science would be a plus but not necessary.
5 +This project investigates the fundamental mechanisms of energy transfer and the emergence of coherent structures in Hamiltonian equations, which describe a wide range of physical systems including aspects of general relativity, cold atom systems, and fluid dynamics. The central aim is to understand how nonlinearity and dispersion interact to redistribute energy across scales, leading to the formation of structures such as solitons, condensates, and even black holes. The project contributes to a deeper understanding of nonlinear Hamiltonian dynamics and the universal behaviors that emerge from energy-conserving laws. These questions have significant implications for both theoretical and applied physics, including the prediction of turbulent behavior and the development of control strategies in nonlinear media.
6 +physics is preferred.