Delay Times for Symmetrized and Antisymmetrized Quantum Tunneling Configurations

TL;DR

This paper investigates the transit times of symmetrized and antisymmetrized two-particle quantum tunneling, revealing connections between phase and dwell times and identifying an accelerated tunneling effect for fermions.

Contribution

It provides a detailed analysis of tunneling times for identical particles, highlighting the impact of symmetrization and antisymmetrization on quantum transit times and tunneling dynamics.

Findings

Phase time and dwell time are connected in symmetric configurations.

Antisymmetrized wave functions can lead to accelerated tunneling effects.

Explicit determination of particle positions via phase time.

Abstract

The transit times are obtained for a symmetrized (two identical bosons) and an antisymmetrized (two identical fermions) quantum colliding configuration. Considering two identical particles symmetrically impinging on a one-dimensional barrier, we demonstrate that the phase time and the dwell time give connected results where, however, the exact position of the scattered particles is explicitly determined by the phase time (group delay). For the antisymmetrized wave function configuration, an unusual effect of {\em accelerated} transmission is clearly identified in a simultaneous tunneling of two identical fermions.