Coherent control of dissipative dynamics in a periodically driven lattice array

Coherent control of dissipative dynamics in a periodically driven lattice array
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周期性驱动晶格阵列中耗散动力学的相干控制

DOI:
10.1103/physreva.102.012221
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发表时间:
2020-05
期刊:
影响因子:
2.9
通讯作者:
Luo Xiaobing
Luo Xiaobing
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Zeng Zhao-Yun;Li Lei;Yang Baiyuan;Xiao Jinpeng;Luo Xiaobing

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在一维开放晶格系统中,我们发现了一种不同的抑制衰变的机制,这种机制起源于暗Floquet状态,暗Floquet状态是系统被渐近驱动到的一种吸收状态,其总体概率仅由周期驱动场的参数决定。暗Floquet态的零准能不是一个实的零,而是一个极小的负虚数,在量子态的长时间演化中会产生不良的物理效应,这与保守的零准能有很大的不同。另一个重要的发现是,系统的有效衰减的值,由暗floquet态相关准能量的非零虚部的大小决定,不取决于有多少局域有耗位,而是取决于哪一个有耗位离驱动位最近。因此,对于特殊设计的局部耗散,通过控制驱动参数,我们可以将系统驱动到暗Floquet状态,与未驱动的情况相比,总体概率损失水平要低得多,并且在足够长的进化时间内具有良好的稳定性。这些结果适用于具有奇数位点的多点阵系统,并可能对大量具有局部耗散的多态物理系统的衰变的长期控制具有重要意义。
We find a different mechanism for suppression of decay in an open one-dimensional lattice system, which originates from a dark Floquet state, a sink state to which the system is asymptotically driven, whose overall probability is determined only by the parameters of the periodic driving field. The zero-quasienergy of dark Floquet state has been shown to be not a real zero, but a vanishingly small negative imaginary number which will cause undesirable physical effect in long-time evolution of quantum states, which is extremely different from the conservative counterpart. Another important finding is that the value of the system's effective decay, determined by the size of the non-zero imaginary part of the dark-Floquet-state-related quasienergy, depends not on how many localized lossy sites there are but on which one of the lossy sites is nearest to the driven site. Thus, for specially designed local dissipation, by controlling the driving parameters, it is possible for us to drive the system to a dark Floquet state with a much lower level of overall probability loss as compared to the undriven case and with good stability over enough longer evolution time. These results are applicable to the multisite lattice system with an odd number of sites and may be significant for long-time control of decay in a vast family of multistate physical systems with localized dissipation.
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