Nonlinear interference in a mean-field quantum model

TL;DR

This paper introduces a mean-field quantum model to describe many-particle ground states as mixed states of nonlinear eigenstates, exploring quantum-classical transition and interference effects.

Contribution

It proposes a novel approach to model many-particle ground states using nonlinear eigenstates and their non-orthogonality in a mean-field framework.

Findings

Identification of quantum-classical nonlinear transition

Observation of interference between nonlinear eigenstates

Interpretation of mixed states in quantum systems

Abstract

Using similar nonlinear stationary mean-field models for Bose-Einstein Condensation of cold atoms and interacting electrons in a Quantum Dot, we propose to describe the original many-particle ground state as a one-particle statistical mixed state of the nonlinear eigenstates whose weights are provided by the eigenstate non-orthogonality. We search for physical grounds in the interpretation of our two main results, namely, quantum-classical nonlinear transition and interference between nonlinear eigenstates.