Decoherence on Quantum Tunneling in the Multi-Dimensional Wave Function Approach

TL;DR

This paper investigates quantum tunneling in multi-dimensional systems, emphasizing the role of decoherence in simplifying the description of the post-tunneling quantum state, especially when initial states are squeezed.

Contribution

It extends previous formalism to include squeezed initial states and highlights the crucial role of decoherence in understanding tunneling phenomena.

Findings

Decoherence enables concise descriptions of post-tunneling states.

Squeezed states are incorporated into the tunneling formalism.

Decoherence significantly influences quantum tunneling analysis.

Abstract

We consider fundamental problems on the understanding of the tunneling phenomena in the context of the multi-dimensional wave function. In this paper, we reconsider the quantum state after tunneling and extend our previous formalism to the case when the quantum state before tunneling is in a squeezed state. Through considering this problem, we reveal that the quantum decoherence plays a crucial role to allow us of the concise description of the quantum state after tunneling.