Weak value of Dwell time for Quantum Dissipative spin-1/2 System

TL;DR

This paper investigates how dissipative interactions affect the dwell time in a quantum spin-1/2 system using weak measurement techniques, revealing that dissipation prevents zero-time tunneling.

Contribution

It introduces a method to calculate dwell time in dissipative quantum systems using weak measurement and retarded Schrödinger equations, highlighting the impact of dissipation on tunneling.

Findings

Dissipative interactions prevent zero-time tunneling.

Weak measurement framework effectively captures dwell time.

Dissipation alters quantum tunneling dynamics.

Abstract

The dwell time is calculated within the framework of time dependent weak measurement considering dissipative interaction between a spin half system and the environment. Caldirola and Montaldi's method of retarded Schroedinger equation is used to study the dissipative system. The result shows that inclusion of dissipative interaction prevents zero time tunneling.