Damping of macroscopic oscillation and interference pattern in coupled Gross-Pitaevskii equations without self-interaction

TL;DR

This paper investigates how mutual interactions in coupled Gross-Pitaevskii equations without self-interaction lead to damping of macroscopic oscillations and interference patterns, resembling quantum decoherence.

Contribution

It presents numerical results showing decay of oscillations and interference in coupled GP equations without self-interaction, a novel scenario in BEC modeling.

Findings

Oscillations decay over time due to mutual interactions.

Interference patterns diminish, indicating decoherence.

Results are analogous to many-particle quantum decoherence.

Abstract

Quantum phenomena appear in a macroscopic scale in Bose-Einstein condensates. The Gross-Pitaevskii (GP) equation describes the dynamics of the weakly interacting Bose-Einstein condensates. The GP equation has a form of the Schroedinger equation with self-interaction. The coupled Gross-Pitaevskii equations are used to describe some mixtures of Bose-Einstein condensates. In this paper, we will show some numerical results of coupled Gross-Pitaevskii equations without self-interaction, which has a form of nonlinearly-coupled Schroedinger equations. We demonstrate that the macroscopic oscillation and the interference of two quantum wave packets decay in time owing to mutual interaction, which is analogous to the decoherence in quantum mechanics of many particles.