Tunneling time and Faraday/Kerr effects in $\mathcal{PT}$-symmetric systems

TL;DR

This paper reviews how tunneling time and Faraday/Kerr rotation angles exhibit anomalous behaviors in $ ext{PT}$-symmetric systems, linked to phase transitions and pole movements in the complex plane.

Contribution

It provides a unified analysis of tunneling time and optical rotation anomalies in $ ext{PT}$-symmetric systems, highlighting their phase transition-like behavior and underlying pole dynamics.

Findings

Both phenomena show phase transition-like anomalies.

Anomalies are caused by pole movements in the complex plane.

Similarities suggest a common underlying mechanism.

Abstract

We review the generalization of tunneling time and anomalous behaviour of Faraday and Kerr rotation angles in parity and time ($\mathcal{P}\mathcal{T}$)-symmetric systems. Similarities of two phenomena are discussed, both exhibit a phase transition-like anomalous behaviour in certain range of model parameters. Anomalous behaviour of tunneling time and Faraday/Kerr angles in $\mathcal{P}\mathcal{T}$-symmetric systems is caused by the motion of poles of scattering amplitudes in energy/frequency complex plane.