- 必威体育下载

姓名
邮箱
手机号码
标题
留言内容
验证码

摘要

本文数值研究了在一维非厄米的硬核玻色模型中由现象. 随着无序强度的增强, 系统的能谱统计分布从AI ^†对称类向二维泊松系综过渡, 多体本征态的归一化参与率展示了从有限值到接近零的转变, 半链纠缠熵服从体积律到面积律的转变, 动力学半链纠缠熵表现为从线性增长到对数增长的转变. 数值结果表明, 在该模型中由现象的鲁棒性. 该研究结果为非厄米系统中多体局域化的研究提供了新的视角.

关键词:

Recent researches on disorder-driven many-body localization (MBL) in non-Hermitian quantum systems have aroused great interest. In this work, we investigate the non-Hermitian MBL in a one-dimensional hard-core Bose model induced by random two-body dissipation, which is described by

$ \hat{H}=\displaystyle\sum\limits_{j}^{L-1}\left[ -J\left( \hat{b}_{j}^{\dagger}\hat{b}_{j+1}+\hat {b}_{j+1}^{\dagger}\hat{b}_{j}\right) +\frac{1}{2}\left( U-{\mathrm{i}}\gamma_{j}\right) \hat{n}_{j}\hat{n}_{j+1}\right] \notag,$

with the random two-body loss $\gamma_j\in\left[0,W\right]$ . By the level statistics, the system undergoes a transition from the AI $^{\dagger}$ symmetry class to a two-dimensional Poisson ensemble with the increase of disorder strength. This transition is accompanied by the changing of the average magnitude (argument) $\overline{\left\langle {r}\right\rangle}$ ( $\overline{-\left\langle \cos {\theta}\right\rangle }$ ) of the complex spacing ratio, shifting from approximately 0.722 (0.193) to about 2/3 (0). The normalized participation ratios of the majority of eigenstates exhibit finite values in the ergodic phase, gradually approaching zero in the non-Hermitian MBL phase, which quantifies the degree of localization for the eigenstates. For weak disorder, one can see that average half-chain entanglement entropy $\overline{\langle S \rangle}$ follows a volume law in the ergodic phase. However, it decreases to a constant independent of Lin the deep non-Hermitian MBL phase, adhering to an area law. These results indicate that the ergodic phase and non-Hermitian MBL phase can be distinguished by the half-chain entanglement entropy, even in non-Hermitian system, which is similar to the scenario in Hermitian system. Finally, for a short time, the dynamic evolution of the entanglement entropy exhibits linear growth with the weak disorder. In strong disorder case, the short-time evolution of $\overline{S(t)}$ shows logarithmic growth. However, when $t\geqslant10^2$ , $\overline{S(t)}$ can stabilize and tend to the steady-state half-chain entanglement entropy $\overline{ S_0 }$ . The results of the dynamical evolution of $\overline{S(t)}$ imply that one can detect the occurrence of the non-Hermitian MBL by the short-time evolution of $\overline{S(t)}$ , and the long-time behavior of $\overline{S(t)}$ signifies the steady-state information.

Keywords:

作者及机构信息

刘敬鹄¹,
徐志浩^1,2

1.
2.

通信作者:徐志浩,xuzhihao@sxu.edu.cn

基金项目:国家自然科学基金(批准号: 12375016)、山西省基础研究计划(批准号: 20210302123442)、北京凝聚态物理国家研究中心开放课题和山西“1331工程”重点学科建设计划资助的课题.

Authors and contacts

Liu Jing-Hu¹,
Xu Zhi-Hao^1,2

1.
2.

Corresponding author:Xu Zhi-Hao,xuzhihao@sxu.edu.cn

Funds:Project supported by the National Natural Science Foundation of China (Grant No. 12375016), the Fundamental Research Program of Shanxi Province, China (Grant No. 20210302123442), the Beijing National Laboratory for Condensed Matter Physics, China, and the Fund for Shanxi “1331Project” Key Subjects, China.

文章全文: translate this paragraph

参考文献

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
[31]
[32]
[33]
[34]
[35]
[36]
[37]
[38]
[39]
[40]
[41]
[42]
[43]
[44]
[45]
[46]
[47]
[48]
[49]
[50]
[51]
[52]
[53]
[54]
[55]
[56]
[57]
[58]
[59]
[60]
[61]
[62]
[63]
[64]
[65]
[66]
[67]

施引文献

下载: 全尺寸图片幻灯片

下载: 全尺寸图片幻灯片

下载: 全尺寸图片幻灯片

下载: 全尺寸图片幻灯片

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
[31]
[32]
[33]
[34]
[35]
[36]
[37]
[38]
[39]
[40]
[41]
[42]
[43]
[44]
[45]
[46]
[47]
[48]
[49]
[50]
[51]
[52]
[53]
[54]
[55]
[56]
[57]
[58]
[59]
[60]
[61]
[62]
[63]
[64]
[65]
[66]
[67]

[1]	陆展鹏, 徐志浩.具有平带的一维十字型晶格中重返局域化现象. 必威体育下载 , 2024, 73(3): 037202.doi:10.7498/aps.73.20231393
[2]	刘辉, 陆展鹏, 徐志浩.一维非厄米十字晶格中的退局域-局域转变. 必威体育下载 , 2024, 73(13): 137201.doi:10.7498/aps.73.20240510
[3]	陈奇, 戴越, 李飞燕, 张彪, 李昊辰, 谭静柔, 汪潇涵, 何广龙, 费越, 王昊, 张蜡宝, 康琳, 陈健, 吴培亨.5—10 µm波段超导单光子探测器设计与研制. 必威体育下载 , 2022, 71(24): 248502.doi:10.7498/aps.71.20221594
[4]	曲登科, 范毅, 薛鹏.高维宇称-时间对称系统中的信息恢复与临界性. 必威体育下载 , 2022, 0(0): .doi:10.7498/aps.71.20220511
[5]	曲登科, 范毅, 薛鹏.高维宇称-时间对称系统中的信息恢复与临界性. 必威体育下载 , 2022, 71(13): 130301.doi:10.7498/aps.70.20220511
[6]	唐原江, 梁超, 刘永椿.宇称-时间对称与反对称研究进展. 必威体育下载 , 2022, 71(17): 171101.doi:10.7498/aps.71.20221323
[7]	吴瑾, 陆展鹏, 徐志浩, 郭利平.由超辐射引起的迁移率边和重返局域化. 必威体育下载 , 2022, 71(11): 113702.doi:10.7498/aps.71.20212246
[8]	刘佳琳, 庞婷方, 杨孝森, 王正岭.无序非厄米Su-Schrieffer-Heeger中的趋肤效应. 必威体育下载 , 2022, 71(22): 227402.doi:10.7498/aps.71.20221151
[9]	潘磊.非厄米线性响应理论及其应用. 必威体育下载 , 2022, 71(17): 170305.doi:10.7498/aps.71.20220862
[10]	傅聪, 叶梦浩, 赵晖, 陈宇光, 鄢永红.共轭聚合物链中光激发过程的无序效应. 必威体育下载 , 2021, 70(11): 117201.doi:10.7498/aps.70.20201801
[11]	张高见, 王逸璞.腔光子-自旋波量子耦合系统中各向异性奇异点的实验研究. 必威体育下载 , 2020, 69(4): 047103.doi:10.7498/aps.69.20191632
[12]	徐志浩, 皇甫宏丽, 张云波.一维准周期晶格中玻色子对的迁移率边. 必威体育下载 , 2019, 68(8): 087201.doi:10.7498/aps.68.20182218
[13]	王晓, 陈立潮, 刘艳红, 石云龙, 孙勇.纵模对光子晶体中类狄拉克点传输特性的影响. 必威体育下载 , 2015, 64(17): 174206.doi:10.7498/aps.64.174206
[14]	韩华, 吴翎燕, 宋宁宁.基于随机矩阵的金融网络模型. 必威体育下载 , 2014, 63(13): 138901.doi:10.7498/aps.63.138901
[15]	侯碧辉, 刘凤艳, 岳明, 王克军.纳米金属镝的传导电子定域化. 必威体育下载 , 2011, 60(1): 017201.doi:10.7498/aps.60.017201
[16]	徐赞新, 王钺, 司洪波, 冯振明.基于随机矩阵理论的城市人群移动行为分析. 必威体育下载 , 2011, 60(4): 040501.doi:10.7498/aps.60.040501
[17]	李晓春, 高俊丽, 刘绍娥, 周科朝, 黄伯云.无序对二维声子晶体平板负折射成像的影响. 必威体育下载 , 2010, 59(1): 376-380.doi:10.7498/aps.59.376
[18]	李蓉, 颜平兰, 陈健, 李俊, 李金, 张凯旺, 钟建新.随机矩阵理论在肺癌基因网络识别中的应用. 必威体育下载 , 2009, 58(10): 6703-6708.doi:10.7498/aps.58.6703
[19]	许兴胜, 陈弘达, 张道中.非晶光子晶体中的光子局域化. 必威体育下载 , 2006, 55(12): 6430-6434.doi:10.7498/aps.55.6430
[20]	刘小良, 徐慧, 马松山, 宋招权.一维无序二元固体中电子局域性质的研究. 必威体育下载 , 2006, 55(6): 2949-2954.doi:10.7498/aps.55.2949

计量

文章访问数:1389
PDF下载量:84
被引次数:0

搜索

留言板