论文标题

通过静电设计非热的真实光谱

Designing non-Hermitian real spectra through electrostatics

论文作者

Yang, Russell, Tan, Jun Wei, Tai, Tommy, Koh, Jin Ming, Li, Linhu, Longhi, Stefano, Lee, Ching Hua

论文摘要

非热性提出了一个广阔的新开放领域,该领域藏有新的物理和应用,例如激光和传感。但是,只有具有真实特征力的非热系统是稳定的,并且通过执行平等时代(PT)对称性来设计它们。在这项工作中,我们利用了鲜为人知的动力学机制来执行真实光谱,并开发了一种全面而多才多艺的方法来设计具有真实光谱的新型父母汉密尔顿人。我们的设计方法基于一种新型的静电类比,用于改进的非铁散发器对应关系,其中静电电荷对应于状态和电场的密度对应于复杂的光谱流。因此,可以对任何所需的光谱和州本地化概况的汉密尔顿人进行反向工程,尤其是那些没有任何指导对称原则的汉密尔顿人。通过将非汉密尔顿人的对角化为泊松边界值问题,我们的静电类比也超越了传统数值方法中浮点数错误的增益/损失引起的复合,从而允许访问更大的系统尺寸。

Non-hermiticity presents a vast newly opened territory that harbors new physics and applications such as lasing and sensing. However, only non-Hermitian systems with real eigenenergies are stable, and great efforts have been devoted in designing them through enforcing parity-time (PT) symmetry. In this work, we exploit a lesser-known dynamical mechanism for enforcing real-spectra, and develop a comprehensive and versatile approach for designing new classes of parent Hamiltonians with real spectra. Our design approach is based on a novel electrostatics analogy for modified non-Hermitian bulk-boundary correspondence, where electrostatic charge corresponds to density of states and electric fields correspond to complex spectral flow. As such, Hamiltonians of any desired spectra and state localization profile can be reverse-engineered, particularly those without any guiding symmetry principles. By recasting the diagonalization of non-Hermitian Hamiltonians as a Poisson boundary value problem, our electrostatics analogy also transcends the gain/loss-induced compounding of floating-point errors in traditional numerical methods, thereby allowing access to far larger system sizes.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源