Disentanglement by deranking and by suppression of correlation

TL;DR

This paper explores methods to achieve quantum disentanglement through nonlinear operators that modify quantum equations, demonstrating potential steady states beyond standard quantum mechanics using a two-spin system.

Contribution

It introduces two novel nonlinear operators for disentanglement, one for deranking and one for correlation suppression, expanding the theoretical framework of quantum state manipulation.

Findings

Disentanglement operators enable limit cycle steady states.

Both operators are demonstrated on a two-spin system near resonance.

Standard quantum mechanics excludes these steady states.

Abstract

The spontaneous disentanglement hypothesis is motivated by some outstanding issues in standard quantum mechanics, including the problem of quantum measurement. The current study compares between some possible methods that can be used to implement the hypothesis. Disentanglement is formulated using a nonlinear operator, which can be used to modify both the Schr\"{o}dinger equation for the quantum state vector, and the master equation for the density operator. Two types of nonlinear disentanglement operators are explored. The first one gives rise to matrix deranking, and the second one to correlation suppression. Both types are demonstrated using a two spin system that is driven close to the Hartmann--Hahn double resonance. It is shown that limit cycle steady state solutions, which are excluded by standard quantum mechanics, become possible in the presence of disentanglement.