Research Projects

The realization of fully controlled quantum many-body systems is a significant challenge, and several physical platforms have been explored to address the fundamental properties of quantum matter. Interacted bosons at ultracold temperature provide unprecedented experimental control and serve as a quantum simulator for other many-body systems in solid state and condensed matter. The optical lattice provides the perfect isolation, and strongly interacting bosons in optical lattice are the ideal test-bed to study non-equilibrium dynamics. The challenge is whether unitary evolution leads to thermalization, and little theoretical results are known. The interatomic correlation plays an important role, and an exact many-body treatment is needed. The multiconfigurational time-dependent Hartree for bosons (MCTDHB) is used to study non-equilibrium quantum dynamics, such as trapped boson systems and dipolar bosons in shallow and deep lattices. MCTDHB can demonstrate correct dynamical evolution, such as built-in and decay of correlation, dynamical quantum phase transition, fidelity and many-body information entropy, thermalization, and relaxation. The long-range interaction plays a dominant role, and the possibility of BEC even in 1D without trap is an open question. The rich many-body physics is expected when the range goes below the system's dimension, and strong interatomic correlation is built up. MCTDHB allows accurate determination of several order of correlation and entropy evolution, making different higher-order correlations experimentally measurable.