Heating in Integrable Time-Periodic Systems
Heating in Integrable Time-Periodic Systems
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DOI：
10.1103/physrevlett.120.220602
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发表时间：
2018-05-31
影响因子：
8.6
通讯作者：
Hatano, Naomichi
中科院分区：
文献类型：
--
作者：
Ishii, Takashi;Kuwahara, Tomotaka;Hatano, Naomichi
我们研究了周期驱动可积系统中的加热现象，它可以映射到自由费米子模型。我们发现，加热到高温态，这是不可积系统中的一种典型情况，也可以出现在可积时间周期系统中；能量吸收量在Floquite-Magnus展开发散的频率阈值附近急剧增加。随着驱动周期的增加，我们还观察到广义Gibbs系综守恒量的有效温度趋于无穷大。通过标度分析，我们发现在无限大系统尺寸和驱动周期的限制下，长时间后的稳态等价于无限大的温度状态。我们得到了L-1和T-2关于稳态如何随着系统规模L和驱动周期T的增加而趋近于无限温态的渐近行为。
We investigate a heating phenomenon in periodically driven integrable systems that can be mapped to free-fermion models. We find that heating to the high-temperature state, which is a typical scenario in nonintegrable systems, can also appear in integrable time-periodic systems; the amount of energy absorption rises drastically near a frequency threshold where the Floquet-Magnus expansion diverges. As the driving period increases, we also observe that the effective temperatures of the generalized Gibbs ensemble for conserved quantities go to infinity. By the use of the scaling analysis, we reveal that, in the limit of infinite system size and driving period, the steady state after a long time is equivalent to the infinite-temperature state. We obtain the asymptotic behavior L-1 and T-2 as to how the steady state approaches the infinite-temperature state as the system size L and the driving period T increase.