量子气体中呼吸子的SU（1，1）回波
SU(1,1) echoes for breathers in quantum gases
摘要：
虽然著名的自旋回波已被广泛用于逆转量子动力学，但它们不适用于那些成分超出su（2）代数控制的系统。在这里，我们设计的回声，以扭转量子动力学呼吸在三维酉费米子和二维玻色子和费米子接触相互作用，这是由一个基本的su（1，1）代数。几何上，SU（1，1）回波在单个或多个庞加莱圆盘上产生闭合轨迹，因此可以在不改变哈密顿量符号的情况下恢复任何初始状态。特别地，呼吸子的初始形状决定了多个Poincare圆盘上轨迹的叠加以及复苏时间是否具有周期倍增。我们的工作为物理学家提供了一个定制相互作用的多体系统的集体激发的方法。
英文摘要：
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.
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