论文标题
SU（1,1）回声用于量子气中的呼吸器
SU(1,1) echoes for breathers in quantum gases
论文作者
论文摘要
尽管著名的自旋回声已被广泛用于逆转量子动力学，但它们不适用于其组成部分无法控制的系统（2）代数。在这里，我们设计了回声以逆转三维单一费米子和二维玻色子和带有接触相互作用的费米子的呼吸器的量子动力学，这些动力由基础的SU（1,1）代数控制。几何，SU（1,1）的回声在单个或多个繁殖磁盘上产生封闭的轨迹，因此可以恢复任何初始状态而不会改变哈密顿式的迹象。特别是，呼吸的初始形状决定了轨迹在多个繁殖盘上的叠加，以及复兴时间是否具有周期乘法。我们的工作为物理学家提供了一种配方，以量身定制相互作用的多体系统的集体激励。
Though the celebrated spin echoes have been widely used to reverse quantum dynamics, they are not applicable to systems whose constituents are beyond the control of the su(2) algebra. Here, we design echoes to reverse quantum dynamics of breathers in three-dimensional unitary fermions and two-dimensional bosons and fermions with contact interactions, which are governed by an underlying su(1,1) algebra. Geometrically, SU(1,1) echoes produce closed trajectories on a single or multiple Poincare disks and thus could recover any initial states without changing the sign of the Hamiltonian. In particular, the initial shape of a breather determines the superposition of trajectories on multiple Poincare disks and whether the revival time has period multiplication. Our work provides physicists with a recipe to tailor collective excitations of interacting many-body systems.
