Effective Hamiltonians in periodically driven systems have received widespread attention for realization of novel quantum phases, non-equilibrium phase transition, and Majorana mode. Recently, the study of effective H...Effective Hamiltonians in periodically driven systems have received widespread attention for realization of novel quantum phases, non-equilibrium phase transition, and Majorana mode. Recently, the study of effective Hamiltonian using various methods has gained great interest. We consider a vector differential equation of motion to derive the effective Hamiltonian for any periodically driven two-level system, and the dynamics of the spin vector are an evolution under the Bloch sphere. Here, we investigate the properties of this equation and show that a sudden change of the effective Hamiltonian is expected. Furthermore, we present several exact relations, whose expressions are independent of the different starting points. Moreover, we deduce the effective Hamiltonian from the high-frequency limit, which approximately equals the results in previous studies. Our results show that the vector differential equation of motion is not affected by a convergence problem, and thus, can be used to numerically investigate the effective models in any periodic modulating system. Finally, we anticipate that the proposed method can be applied to experimental platforms that require time-periodic modulation, such as ultracold atoms and optical lattices.展开更多
为解决交流大扰动下电网换相换流器型高压直流(line commutated converter based HVDC,LCC-HVDC)输电系统等值计算模型中整流侧信息不易获取的问题,基于动态相量模型和准稳态模型,建立基于受端交流信息下LCC-HVDC的建模方法,针对受端换...为解决交流大扰动下电网换相换流器型高压直流(line commutated converter based HVDC,LCC-HVDC)输电系统等值计算模型中整流侧信息不易获取的问题,基于动态相量模型和准稳态模型,建立基于受端交流信息下LCC-HVDC的建模方法,针对受端换流器容易发生的换相失败问题,创建基于换相机理的开关函数的修改方法。故障仿真结果表明,该方法可以较为准确地反映受端交流扰动下的暂态响应特征,同时该方法还提高了计算速度,实现了仅基于受端交流信息下LCC-HVDC的高精度、实时化计算。展开更多
基金supported by the National Natural Science Foundation of China (Grant No. 11774328)。
文摘Effective Hamiltonians in periodically driven systems have received widespread attention for realization of novel quantum phases, non-equilibrium phase transition, and Majorana mode. Recently, the study of effective Hamiltonian using various methods has gained great interest. We consider a vector differential equation of motion to derive the effective Hamiltonian for any periodically driven two-level system, and the dynamics of the spin vector are an evolution under the Bloch sphere. Here, we investigate the properties of this equation and show that a sudden change of the effective Hamiltonian is expected. Furthermore, we present several exact relations, whose expressions are independent of the different starting points. Moreover, we deduce the effective Hamiltonian from the high-frequency limit, which approximately equals the results in previous studies. Our results show that the vector differential equation of motion is not affected by a convergence problem, and thus, can be used to numerically investigate the effective models in any periodic modulating system. Finally, we anticipate that the proposed method can be applied to experimental platforms that require time-periodic modulation, such as ultracold atoms and optical lattices.
文摘为解决交流大扰动下电网换相换流器型高压直流(line commutated converter based HVDC,LCC-HVDC)输电系统等值计算模型中整流侧信息不易获取的问题,基于动态相量模型和准稳态模型,建立基于受端交流信息下LCC-HVDC的建模方法,针对受端换流器容易发生的换相失败问题,创建基于换相机理的开关函数的修改方法。故障仿真结果表明,该方法可以较为准确地反映受端交流扰动下的暂态响应特征,同时该方法还提高了计算速度,实现了仅基于受端交流信息下LCC-HVDC的高精度、实时化计算。
