标题： 运动积分作为耗散多体算符动力学中的慢模态 显示英文标题

标题： Integrals of motion as slow modes in dissipative many-body operator dynamics

摘要： 我们研究了具有一个或多个运动积分（IOM）的多体量子系统中Lindbladian算符的动力学，并考虑弱局域耗散的情况。 我们证明了支持较小的IOM成为这些动力学中的慢模式，在Frobenius范数衰减方面比一般的算符更慢。 因此，这类Lindbladian算符具有最慢衰减速率的本征算符与底层哈密顿量的IOM有较大的重叠。 我们通过数值方法验证了多个多体模型中慢模式与IOM之间的这种对应关系，并进一步用微扰论论证了这一点。 这些结果为识别IOM提供了一种新方法，并为耗散多体动力学提供了见解。 显示英文摘要

摘要： We consider Lindbladian operator dynamics in many-body quantum systems with one or more integrals of motion (IOM), subject to weak local dissipation. We demonstrate that IOMs with small support become slow modes of these dynamics, in the sense that their Frobenius norm decays more slowly compared to generic operators. As a result, the eigenoperators of such Lindbladians with slowest decay rates have a large overlap with the IOMs of the underlying Hamiltonian. We demonstrate this correspondence between slow modes and IOMs numerically for a number of many-body models, and further corroborate it with perturbative arguments. These results open up a new method for the identification of IOMs, and provide insights into the dissipative many-body dynamics.