Leggett-Garg Inequality for a Two-Level System under Decoherence: A Broader Range of Violation

TL;DR

This paper investigates how a Leggett-Garg inequality can be violated in a macroscopic quantum system under decoherence, demonstrating broader conditions for violation than previously known, thus challenging macrorealism.

Contribution

It extends the analysis of Leggett-Garg inequality violations to a macroscopic system with decoherence, showing a wider range of conditions under which quantum behavior persists.

Findings

Broader range of decoherence effects still allow violation

Violation observed in a macroscopic double-well potential

Results challenge macrorealism assumptions

Abstract

We consider a macroscopic quantum system in a tilted double-well potential. By solving Hamiltonian equation, we obtain tunneling probabilities which contain oscillation effects. To show how one can decide between quantum mechanics and the implications of macrorealism assumption, a given form of Leggett-Garg inequality is used. The violation of this inequality occurs for a broader range of decoherence effects, compared to previous results obtained for two-level systems.