Hartman effect and dissipative quantum systems

TL;DR

This paper investigates how dissipation affects quantum tunneling times, demonstrating that dissipation prevents the Hartman effect by causing dwell time to increase with barrier width, based on calculations for an inverted parabolic potential.

Contribution

It provides the first analysis showing dissipation precludes the Hartman effect in quantum systems through specific potential barrier calculations.

Findings

Dissipative systems exhibit increasing dwell time with barrier width.

The Hartman effect is absent in dissipative quantum tunneling.

Calculations performed for inverted parabolic potential barrier.

Abstract

The dwell time for dissipative quantum system is shown to increase with barrier width. It clearly precludes Hartman effect for dissipative systems. Here calculation has been done for inverted parabolic potential barrier.