#  Many-body Theory 

 



####  **Dynamics in strongly disordered system**

 Under strong disorder, the coherent dynamics of a quantum system may be qualitatively different from that of a clean system. Recent developments of many-body localization suggest that the dynamics of such systems may be rather simpler than solving a full quantum problem and sometimes even controllable thanks to its localized nature. We study the nature of dynamics in such systems in both theory and experiments.

 Related works:

- [Quantum control of many-body localized states](https://arxiv.org/abs/1508.06992)
- [Critical thermalization of a disordered dipolar spin system in diamond](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.023601)
- [Observation of discrete time-crystalline order in a disordered dipolar many-body system](https://www.nature.com/articles/nature21426)
- [Critical time crystals in dipolar systems](https://arxiv.org/abs/1703.04593)

####  **Control and tomography of many-body Hamiltonian**

 One of the most outstanding challenges in the experimental study of quantum many-body dynamics is the difficulty of realizing systems with a desired Hamiltonian. Also, even if such a system is built, the “in vivo” characterization of its Hamiltonian remains non-trivial. We study the theoretical tool sets to circumvent theses difficulties.

 Related works:

- [Dynamical engineering of interactions in qudit ensembles](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.119.183603)
- [Dynamically induced many-body localization ](https://journals.aps.org/prb/abstract/10.1103/PhysRevB.97.100301)

####  **Additional topics of research in quantum many-body physics include:**

- Rydberg EIT
- Quantum simulation with cold atoms and trapped ions, in and out of equilibrium
- Many-body physics in transition metal dichalcogenides