近年来,基于宇称-时间(parity-time,PT)对称的非厄密物理机制在磁谐振式无线电能传输(wireless power transfer,WPT)领域取得了显著进展.非厄密物理不仅有效地解释了当前WPT领域基于电路理论分析的主要实验结果,而且为进一步提升WPT器...近年来,基于宇称-时间(parity-time,PT)对称的非厄密物理机制在磁谐振式无线电能传输(wireless power transfer,WPT)领域取得了显著进展.非厄密物理不仅有效地解释了当前WPT领域基于电路理论分析的主要实验结果,而且为进一步提升WPT器件的传输效率、距径比、鲁棒性等方面提供了全新的原理支撑.本文主要综述了基于PT对称、高阶PT对称、高阶Anti-PT对称等条件下的高效稳定磁谐振式WPT的研究进展,揭示了非厄密物理在该领域的独特作用机制及重要应用.最后对非厄密物理在WPT领域的应用前景进行了展望.展开更多
The correspondence between quantum level spacing distribu tions and classical motion of 1-D P T symmetric non-Hermitian systems is investigated using two PT symmetric complex potentials: complex rational power potenti...The correspondence between quantum level spacing distribu tions and classical motion of 1-D P T symmetric non-Hermitian systems is investigated using two PT symmetric complex potentials: complex rational power potential V1 (x) = (ix)(2n+1)/m and general polynomial potential V2(x) = x2M + ib1x2M-1 + b2x2M-2 +... + ib2M-1x. The level spacing distribution of V1 has two forms. When 2n + 1 - 2m is positive, the level spacing distribution of real eigen values assumes a decreasing power function, while it behaves as an increasing power function when 2n + 1 - 2m is negative.The PT symmetry of this system is spontaneously broken as 2n + 1 - 2m becomes negative. This change manifests itself in classical mechanics as it is found by Bender et al. However, it was found that the change in the form of level spacing distribution mentioned above is not due to the spontaneous breaking down of PT symmetry. Level spacing distribution of V2 assumes an increasing power function when order of the polynomial is greater than two.展开更多
A convenient method to exactly solve the quantum-nonautonomous systems with non-Hermitian Hamiltonians is proposed. It is shown that a nonadiabatic complete biorthonormal set can be easily obtained by the gauge transf...A convenient method to exactly solve the quantum-nonautonomous systems with non-Hermitian Hamiltonians is proposed. It is shown that a nonadiabatic complete biorthonormal set can be easily obtained by the gauge transformation method in which the algebraic structure of systems has been used. The nonunitary evolution operator is also found by choosing a special gauge function. All auxiliary parameters introduced in the present approach are only determined by some algebraic equations. The dynamics of two quantum-nonautonomous systems ruled by non-Hermitian Hamiltonians, including a two-photon ionization process involving two-state only and a mesoscopic RLC circuit with a source, are treated as the demonstration of our general approach.展开更多
文摘近年来,基于宇称-时间(parity-time,PT)对称的非厄密物理机制在磁谐振式无线电能传输(wireless power transfer,WPT)领域取得了显著进展.非厄密物理不仅有效地解释了当前WPT领域基于电路理论分析的主要实验结果,而且为进一步提升WPT器件的传输效率、距径比、鲁棒性等方面提供了全新的原理支撑.本文主要综述了基于PT对称、高阶PT对称、高阶Anti-PT对称等条件下的高效稳定磁谐振式WPT的研究进展,揭示了非厄密物理在该领域的独特作用机制及重要应用.最后对非厄密物理在WPT领域的应用前景进行了展望.
文摘The correspondence between quantum level spacing distribu tions and classical motion of 1-D P T symmetric non-Hermitian systems is investigated using two PT symmetric complex potentials: complex rational power potential V1 (x) = (ix)(2n+1)/m and general polynomial potential V2(x) = x2M + ib1x2M-1 + b2x2M-2 +... + ib2M-1x. The level spacing distribution of V1 has two forms. When 2n + 1 - 2m is positive, the level spacing distribution of real eigen values assumes a decreasing power function, while it behaves as an increasing power function when 2n + 1 - 2m is negative.The PT symmetry of this system is spontaneously broken as 2n + 1 - 2m becomes negative. This change manifests itself in classical mechanics as it is found by Bender et al. However, it was found that the change in the form of level spacing distribution mentioned above is not due to the spontaneous breaking down of PT symmetry. Level spacing distribution of V2 assumes an increasing power function when order of the polynomial is greater than two.
文摘A convenient method to exactly solve the quantum-nonautonomous systems with non-Hermitian Hamiltonians is proposed. It is shown that a nonadiabatic complete biorthonormal set can be easily obtained by the gauge transformation method in which the algebraic structure of systems has been used. The nonunitary evolution operator is also found by choosing a special gauge function. All auxiliary parameters introduced in the present approach are only determined by some algebraic equations. The dynamics of two quantum-nonautonomous systems ruled by non-Hermitian Hamiltonians, including a two-photon ionization process involving two-state only and a mesoscopic RLC circuit with a source, are treated as the demonstration of our general approach.
