Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico, USA and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico, USA.
Phys Rev Lett. 2012 Sep 14;109(11):115703. doi: 10.1103/PhysRevLett.109.115703. Epub 2012 Sep 13.
The dynamics of a quantum phase transition is inextricably woven with the formation of excitations, as a result of critical slowing down in the neighborhood of the critical point. We design a transitionless quantum driving through a quantum critical point, allowing one to access the ground state of the broken-symmetry phase by a finite-rate quench of the control parameter. The method is illustrated in the one-dimensional quantum Ising model in a transverse field. Driving through the critical point is assisted by an auxiliary Hamiltonian, for which the interplay between the range of the interaction and the modes where excitations are suppressed is elucidated.
量子相变的动力学与激发的形成密不可分，这是由于临界点附近的临界减速所致。我们通过量子临界点设计了无跃迁量子驱动，通过控制参数的有限速率淬火，可以进入对称破缺相的基态。该方法在横向场中的一维量子伊辛模型中得到了说明。通过临界点的驱动由辅助哈密顿量辅助，阐明了相互作用的范围和抑制激发的模式之间的相互作用。
