论文标题
伪造和反术 - 遗传系统的抵绝热驾驶
Counterdiabatic driving for pseudo- and antipseudo- Hermitian systems
论文作者
论文摘要
在这项工作中，我们研究了伪和反假性遗传系统中的抵绝热驾驶计划。通过讨论非铁族系统的绝热条件，我们表明，国家的绝热进化只能在具有真实能量谱的非热式系统中实现。因此，重现能量本征的精确演变的反绝热驱动方案需要真实的能量谱或放下动态相和浆果相的部分。从这个意义上讲，我们为拥有真实或复杂的能量谱的伪 - 温尔顿尔顿人提供绝热条件和抵绝热的驾驶汉密尔顿人，并且具有虚构或复杂的能量谱。我们还发现，在伪和反苏德 - 遗传系统中获得自称的能量本征状的条件，并在该能量本征态上得出明确定义的裸露状态人群。我们的结果通过研究非热级三级系统的抵绝热驾驶，并实现了损失或增益的完美人群转移。
In this work, we study the counterdiabatic driving scheme in pseudo- and antipseudo- Hermitian systems. By discussing the adiabatic condition for non-Hermitian system, we show that the adiabatic evolution of state can only be realized in the non-Hermitian system which possesses real energy spectrum. Therefore, the counterdiabatic driving scheme to reproduce an exact evolution of an energy eigenstate needs either real energy spectrum or dropping its parts of dynamic phase and Berry phase. In this sense, we derive the adiabatic conditions and counterdiabatic driving Hamiltonians for the pseudo-Hermitian Hamiltonian which possesses either real or complex energy spectrum and the antipseudo-Hermitian Hamiltonian which possesses either imaginary or complex energy spectrum. We also find the condition to get self-normalized energy eigenstates in pseudo- and antipseudo- Hermitian system and derive the well-defined population of bare states on this energy eigenstate. Our results are illustrated by studying the counterdiabatic driving for a non-Hermitian three level system, and a perfect population transfer with loss or gain is realized.
