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Transparently manipulating spin-orbit qubit via exact degenerate ground states

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Chinese Physics B 2020年第8期29卷 217-227页

作者： Kuo hai wenhua Zhu Qiong Chen wenhua hai Department of Physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education and Synergetic Innovation Center for Quantum Effects and ApplicationsHunan Normal UniversityChangsha 410081China

By investigating a harmonically confined and periodically driven particle system with spin-orbit coupling(SOC)and a specific controlled parameter,we demonstrate an exactly solvable two-level model with a complete set of spin-motion entangled Schrödinger kitten(or cat)*** the undriven case,application of a modulation resonance results in the exact stationary *** show a decoherence-averse effect of SOC and implement a transparent coherent control by exchanging positions of the probability-density wavepackets to create transitions between the different degenerate ground *** expected energy consisting of quantum and continuous parts is derived,and the energy deviations caused by the exchange operations are much less than the quantum *** results could be directly extended to a weakly coupled single-particle chain for transparently encoding spin-orbit qubits via the robust spin-motion entangled degenerate ground states.

关键词： transparent coherent control spin-orbit qubit exact degenerate ground state spin-orbit coupling spin-motion entanglement

Coherent control of spin tunneling in a driven spin–orbit coupled bosonic triple well

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Communications in Theoretical Physics 2022年第5期74卷 45-50页

作者： Yuxin Luo Jia Yi Wenjuan Li Xin Xie Yunrong Luo wenhua hai Key Laboratory for Matter Microstructure and Function of Hunan Province and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of EducationSchool of Physics and ElectronicsHunan Normal UniversityChangsha 410081 China School of Management Hunan University of Information TechnologyChangsha 410151 China

We investigate the coherent control of spin tunneling for a spin–orbit(SO)coupled boson trapped in a driven triple *** the high-frequency limit,the quasienergies of the system are obtained analytically and the fine energy band structures are *** regulating the driving parameters,we reveal that the directed spin-flipping or spin-conserving tunneling of an SOcoupled boson occurs along different pathways and in different *** analytical results are demonstrated by numerical simulations and good agreements are ***,an interesting scheme of quantum spin tunneling switch with or without spin-flipping is *** results may have potential applications in the design of spintronic devices.

关键词： coherent control spin tunneling spin-orbit coupling triple well

Third-order variational-perturbation corrections for helium-like ions in ground states

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Third-order variational-perturbation corrections for helium-...

第十六届全国原子与分子物理学术会议

作者： Zhao yunhui hai wenhua Ma wenyue Department of Physics,Shaoyang University,Shaoyang 422000,China

We suggest an improved variational-perturbation(IVP) method based on integral equation and applying it to helium-like ions in ground *** second-order corrected wave function consisting of a few terms and the third-order energy correction are *** former is quadratically integrable and the latter is in good agreement with the experimental *** results show that the IVP method can not only increase computation accuracy to the energy corrections,but also assure convergence of the perturbed series solution such that the previous divergence difficulty is overcome.

关键词： variational-perturbation method divergence convergence the third-order energy correction

Lie—B(a|¨)cklund切变换群的同态和同构

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湖南师范大学自然科学学报 1987年第1期 27-32页

作者：海文华湖南教育学院

本文使用泊松括号方式研究Lie-B(a|¨)cklund切变换群的李代数的正则变换,得到这个群的一些同态和同构关系,并利用这些关系讨论力学、热力学和场论中的某些实际问题。

关键词：同态同构正则变换差分方程/切变换群

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用经典混沌模拟量子不可计算态

数学物理学报（A辑） 2001年第1期1卷 43-47页

作者：刘小娟海文华方建树张细利湖南师范大学物理系

阐明某些微扰Ｓｃｈｒｏｄｉｎｇｅｒ方程与经典混沌系统的线性化方程具有类似的数学形式，利用后者模拟前者，得到与经典混沌解相应的积分形式波函数，微扰无反射势阱的例子说明，这种波函数象经典混沌解一样不可计算，但它的量子态和... 详细信息

阐明某些微扰Ｓｃｈｒｏｄｉｎｇｅｒ方程与经典混沌系统的线性化方程具有类似的数学形式，利用后者模拟前者，得到与经典混沌解相应的积分形式波函数，微扰无反射势阱的例子说明，这种波函数象经典混沌解一样不可计算，但它的量子态和能量则是可预言的．

关键词：混沌量子态不可计算性微扰薛定谔方程无反射势阱

Exact coherent control to two weakly coupled Bose-Einstein condensates

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Exact coherent control to two weakly coupled Bose-Einstein c...

第十五届全国原子与分子物理学术会议

作者： Honghua Zhong,wenhua hai and Shiguang Rong Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education,and Department of physics,Hunan Normal University,Changsha 410081,People’s Republic of China

We investigate the exact ac control of two periodically driven and weakly coupled Bose-Einstein condensates in a double-well *** employing two balance conditions we construct new exact Floquet solutions with the degenerate Floquet energy,and give the balance region on the parameter *** is revealed that for some different parameters in the balance region the Floquet solutions exactly describe the macroscopic quantum self-trapping,nonlinear coherent construction and destruction of quantum tunneling,***,we can accurately perform the coherent control by suitably adjusting the system parameters.

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Chaotic atomic tunneling in coupled Bose-Einstein condensates driven by two periodic forces

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Chaotic atomic tunneling in coupled Bose-Einstein condensate...

第十五届全国原子与分子物理学术会议

作者： Shiguang Rong~(1 2) wenhua hai~1 Qiongtao Xie~1 Qianquan Zhu~1 1.Department of physics Hunan Normal University Changsha 410081 China 2.Department of physics Hunan University of Science & Technology Xiangtan 411201 China Department of physics Hunan Normal UniversityChangsha 410081China Department of physics Human Univ Department of physics Hunan Normal UniversityChangsha 410081China

We study the effects of chaotic dynamics in atomic tunneling between two weakly coupled Bose-Einstein condensates driven by two external periodic *** the well-known Melnikov criterion,the t

关键词： Bose-Einstein condensates two periodic forces chaotic region atomic tunneling

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非线性薛定谔方程的稳态解及其稳定性研究

邵阳师范高等专科学校学报 2001年第5期23卷 42-46页

作者：彭解华颜家壬等湖南大学力学系湖南师范大学物理系

用行波变换方法和分叉理论研究里非线性薛定谔方程的定常解和定常解的稳定性，计算结果表明：非线性薛定谔方程存在两类定常解，静态解和平面波解，对于具有正阻尼和软特性的非线性薛定谔方程，稳定的平面解存在于正常色散媒质中，而对... 详细信息

用行波变换方法和分叉理论研究里非线性薛定谔方程的定常解和定常解的稳定性，计算结果表明：非线性薛定谔方程存在两类定常解，静态解和平面波解，对于具有正阻尼和软特性的非线性薛定谔方程，稳定的平面解存在于正常色散媒质中，而对于具有正阻尼和硬特性的非线性薛定谔方程，稳态平面波解只存在于反常色散媒质中，此外，非线性薛定谔方程在行波变换下的派生系统在处发生Hopf分叉。

关键词：非线性薛定谔方程稳态解稳定性分叉理论平面波解行波变换分法

Chaotic atomic tunneling in coupled Bose-Einstein condensates driven by two periodic forces

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Chaotic atomic tunneling in coupled Bose-Einstein condensate...

第十五届全国原子与分子物理学术会议

作者： Shiguang Rong~(1,2),wenhua hai~1,Qiongtao Xie~1,Qianquan Zhu~1 1.Department of physics,Hunan Normal University,Changsha 410081,China 2.Department of physics,Hunan University of Science & Technology,Xiangtan 411201,China

We study the effects of chaotic dynamics in atomic tunneling between two weakly coupled Bose-Einstein condensates driven by two external periodic *** the well-known Melnikov criterion,the total parameter space can be separated into three different types:regular region,low and high chaos probability *** is found that the tunneling can be enhanced in the presence of *** particular,the chaos-induced inversion of the population imbalance is observed.

关键词： Bose-Einstein condensates two periodic forces chaotic region atomic tunneling