@phdthesis{oai:oist.repo.nii.ac.jp:00002054,
 author = {Mikkelsen, Mathias},
 month = {2021-05-12, 2021-05-12},
 note = {This thesis focuses on quenched and driven dynamics in interacting quantum systems that cannot be treated with mean-field approximations. The majority of the work is related to the unitary dynamics induced in one-dimensional systems due to a sudden change in a physical parameter (a quench). Such systems can be realized in cold atomic gases where the degree of experimental control also enables sudden changes in the physical parameters. The dynamics associated with underlying many-body phases and phase transitions for strongly interacting particles in a one-dimensional optical lattice and the relation between work statistics and scrambling dynamics for interacting particles in a harmonic trap are investigated. A more accurate exact diagonalization method useful for calculating the quench dynamics of small finitely interacting systems is also presented. Finally an investigation of an optomechanical system with a new type of nonlinear position-modulated Kerr coupling is presented. This is treated as an open quantum system which reaches a steady-state due to the interplay of driving and dissipation.},
 school = {Okinawa Institute of Science and Technology Graduate University},
 title = {一次元量子システムにおけるクエンチ及び駆動ダイナミクス},
 year = {}
}