Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems.
Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems.
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DOI：
10.1103/physrevlett.116.120401
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发表时间：
2015-09
影响因子：
8.6
通讯作者：
Takashi Mori;Tomotaka Kuwahara;Keiji Saito
中科院分区：
文献类型：
--
作者：
Takashi Mori;Tomotaka Kuwahara;Keiji Saito
我们讨论了受整体和强周期驱动的孤立多体量子系统中弛豫的普遍性质。严格的Floquite分析表明，对于任意的初始态，系统的能量在频率上几乎保持不变，直到一个指数长的时间，并且通过截断Floket-Magnus展开得到的有效哈密顿量在长时间尺度上是一个准守恒量。这两个一般性质导致了一个有趣的松弛初始阶段的分类，其中一个类似于近可积系统中的预热化现象。
We discuss the universal nature of relaxation in isolated many-body quantum systems subjected to global and strong periodic driving. Our rigorous Floquet analysis shows that the energy of the system remains almost constant up to an exponentially long time in frequency for arbitrary initial states and that an effective Hamiltonian obtained by a truncation of the Floquet-Magnus expansion is a quasiconserved quantity in a long time scale. These two general properties lead to an intriguing classification on the initial stage of relaxation, one of which is similar to the prethermalization phenomenon in nearly integrable systems.