Evolution of the macroscopically entangled states in optical lattices

TL;DR

This paper investigates how quantum fluctuations induce entanglement in boson condensates within optical lattices under slow perturbations, demonstrating the effectiveness of the truncated Wigner approximation in modeling their dynamics.

Contribution

It introduces a detailed analysis of entanglement evolution in optical lattices and validates the truncated Wigner approximation for capturing complex quantum dynamics.

Findings

Quantum fluctuations lead to maximally entangled states.

The truncated Wigner approximation accurately models collapse and revival phenomena.

External perturbations can drive condensates to unstable equilibria.

Abstract

We consider dynamics of boson condensates in finite optical lattices under a slow external perturbation which brings the system to the unstable equilibrium. It is shown that quantum fluctuations drive the condensate into the maximally entangled state. We argue that the truncated Wigner approximation being a natural generalization of the Gross-Pitaevskii classical equations of motion is adequate to correctly describe the time evolution including both collapse and revival of the condensate.