This article establishes the precise asymptotics Eu^m(t, x)(t → ∞ or m → ∞) for the stochastic heat equation ?u/?t(t, x) =1/2?u(t, x) + u(t, x)(t, x)?W/?t(t, x) with the time-derivative Gaussian noise W?/?t(t, x) ...This article establishes the precise asymptotics Eu^m(t, x)(t → ∞ or m → ∞) for the stochastic heat equation ?u/?t(t, x) =1/2?u(t, x) + u(t, x)(t, x)?W/?t(t, x) with the time-derivative Gaussian noise W?/?t(t, x) that is fractional in time and homogeneous in space.展开更多
通过调查京沪高速公路沂淮江段动态称重系统的交通轴载数据,研究了该路段交通荷载参数、货车的超载情况以及交通轴载谱。根据分析结果提出了以单轴双轮120 k N作为高速公路重载交通沥青路面的设计轴载、轮胎接地压强0.85 MPa为设计荷载...通过调查京沪高速公路沂淮江段动态称重系统的交通轴载数据,研究了该路段交通荷载参数、货车的超载情况以及交通轴载谱。根据分析结果提出了以单轴双轮120 k N作为高速公路重载交通沥青路面的设计轴载、轮胎接地压强0.85 MPa为设计荷载;发现用正态分布模型表征该路段单轴双轮轴载谱(R^2=0.95),能够比较真实地反映该路段的荷载特性,提出以该模型作为随机荷载的加载方案;并使用简化的荷载分布作为室内试验进行变幅荷载的加载方案。展开更多
The geometric phase is regarded as a promising strategy in fault tolerance quantum information processing(QIP) domain due to its phase only depending on the geometry of the path executed. However, decoherence caused b...The geometric phase is regarded as a promising strategy in fault tolerance quantum information processing(QIP) domain due to its phase only depending on the geometry of the path executed. However, decoherence caused by environmental noise will destroy the geometric phase. Traditional dynamic decoupling sequences can eliminate dynamic dephasing but can not reduce residual geometric dephasing, which is still vital for high-precision quantum manipulation. In this work, we experimentally demonstrate effective suppression of residual geometric dephasing with modified dynamic decoupling schemes,using a single trapped171 Ybtion. The experimental results show that the modified schemes can reduce dephasing rate up to more than one order of magnitude compared with traditional dynamic decoupling schemes, where residual geometric dephasing dominates. Besides, we also investigate the impact of intensity and correlation time of the low-frequency noise on coherence of the quantum system. And we confirm these methods can be used in many cases.展开更多
基金Research partially supported by the “1000 Talents Plan” from Jilin University,Jilin Province and Chinese Governmentby the Simons Foundation(244767)
文摘This article establishes the precise asymptotics Eu^m(t, x)(t → ∞ or m → ∞) for the stochastic heat equation ?u/?t(t, x) =1/2?u(t, x) + u(t, x)(t, x)?W/?t(t, x) with the time-derivative Gaussian noise W?/?t(t, x) that is fractional in time and homogeneous in space.
文摘通过调查京沪高速公路沂淮江段动态称重系统的交通轴载数据,研究了该路段交通荷载参数、货车的超载情况以及交通轴载谱。根据分析结果提出了以单轴双轮120 k N作为高速公路重载交通沥青路面的设计轴载、轮胎接地压强0.85 MPa为设计荷载;发现用正态分布模型表征该路段单轴双轮轴载谱(R^2=0.95),能够比较真实地反映该路段的荷载特性,提出以该模型作为随机荷载的加载方案;并使用简化的荷载分布作为室内试验进行变幅荷载的加载方案。
基金supported by the National Key Research and Development Program of China (2016YFA0302700)Anhui Initiative in Quantum Information Technologies (AHY070000)+3 种基金Key Research Program of Frontier Sciences, CAS (QYZDY-SSWSLH003)National Natural Science Foundation of China (11474268, 11574294, 11734015, 11474270 and 11404319)the Fundamental Research Funds for the Central Universities (WK2470000026, WK2470000027 and WK2470000028)the Anhui Provincial Natural Science Foundation (1608085QA22)
文摘The geometric phase is regarded as a promising strategy in fault tolerance quantum information processing(QIP) domain due to its phase only depending on the geometry of the path executed. However, decoherence caused by environmental noise will destroy the geometric phase. Traditional dynamic decoupling sequences can eliminate dynamic dephasing but can not reduce residual geometric dephasing, which is still vital for high-precision quantum manipulation. In this work, we experimentally demonstrate effective suppression of residual geometric dephasing with modified dynamic decoupling schemes,using a single trapped171 Ybtion. The experimental results show that the modified schemes can reduce dephasing rate up to more than one order of magnitude compared with traditional dynamic decoupling schemes, where residual geometric dephasing dominates. Besides, we also investigate the impact of intensity and correlation time of the low-frequency noise on coherence of the quantum system. And we confirm these methods can be used in many cases.
