Weak measurement and Zeno time in a dissipative environment

TL;DR

This paper develops a generalized framework for weak measurement and Zeno time in dissipative quantum systems, applying it to atomic tunneling and potential models, with broad applicability to solvable potentials.

Contribution

It introduces a generalized expression for weak dwell time in dissipative environments and an approximate Zeno time measure, extending previous models to more complex systems.

Findings

Derived a generalized weak dwell time expression for dissipative systems

Proposed an approximate Zeno time for asymmetric double well potentials

Applied the formalism to atomic tunneling between surfaces

Abstract

A generalized expression for weak value of dwell time in dissipative systems has been constructed using the approach of Caldirola and Montaldi. An approximate measure of Zeno time has been found taking an asymmetric double well potential. Atomic tunneling between two surfaces is taken as a practical example. The formalism can be used for any solvable potential with exact or approximate energy eigenvalues.