Tunneling time in $\mathcal{P}\mathcal{T}$-symmetric systems

TL;DR

This paper generalizes the concept of tunneling time to $ ext{PT}$-symmetric systems, analyzing its properties and physical implications using a simple diatomic model, and discusses the significance of negative tunneling times and spectral singularities.

Contribution

It introduces a generalized tunneling time framework for $ ext{PT}$-symmetric systems and explores its properties and physical meaning through a specific model.

Findings

Negative tunneling time is related to spectral singularities.

Tunneling time properties differ from conventional systems.

Spectral singularities influence tunneling dynamics.

Abstract

In the present work we propose a generalization of tunneling time in parity and time ($\mathcal{P}\mathcal{T}$)-symmetric systems. The properties of tunneling time in $\mathcal{P}\mathcal{T}$-symmetric systems are studied with a simple contact interactions periodic finite size diatomic $\mathcal{P}\mathcal{T}$-symmetric model. The physical meaning of negative tunneling time in $\mathcal{P}\mathcal{T}$-symmetric systems and its relation to spectral singularities is discussed.