Abanin Dmitry A, De Roeck Wojciech, Huveneers François
Department of Theoretical Physics, University of Geneva, 1211 Genève 4, Switzerland.
Instituut voor Theoretische Fysica, KU 3001 Leuven, Belgium.
Phys Rev Lett. 2015 Dec 18;115(25):256803. doi: 10.1103/PhysRevLett.115.256803. Epub 2015 Dec 15.
We derive general bounds on the linear response energy absorption rates of periodically driven many-body systems of spins or fermions on a lattice. We show that, for systems with local interactions, the energy absorption rate decays exponentially as a function of driving frequency in any number of spatial dimensions. These results imply that topological many-body states in periodically driven systems, although generally metastable, can have very long lifetimes. We discuss applications to other problems, including the decay of highly energetic excitations in cold atomic and solid-state systems.
我们推导了晶格上自旋或费米子的周期性驱动多体系统线性响应能量吸收率的一般界限。我们表明，对于具有局域相互作用的系统，在任意空间维度中，能量吸收率随驱动频率呈指数衰减。这些结果意味着，周期性驱动系统中的拓扑多体态虽然通常是亚稳态的，但可以具有非常长的寿命。我们讨论了这些结果在其他问题中的应用，包括冷原子和固态系统中高能激发的衰减。
