Twisted behavior of dipolar BECs: Dipole-dipole interaction beyond the self-consistent field approximation and exchange electric dipole interaction

TL;DR

This paper investigates the complex behavior of dipolar Bose-Einstein condensates, revealing that two-particle quantum correlations mimic the self-consistent field term, challenging traditional approximations in long-range dipole interactions.

Contribution

It introduces a detailed analysis of two-particle polarization in dipolar BECs, showing correlations resemble the self-consistent field, which is a novel insight beyond standard approximations.

Findings

Two-particle quantum correlations mirror the self-consistent field term.

Dipolar BECs exhibit unexpected quantum correlation structures.

Standard self-consistent field approximation may be insufficient for dipolar BECs.

Abstract

Dipole-dipole interaction is a long-range interaction, hence we could expect that the self-consistent field approximation might be applied. In most cases it is correct, but dipolar BECs reveal a surprise. Structure of the self-consistent field term requires that interacting particles are in different quantum states, while in BECs all particles in a single quantum state. This fact requires to consider the two-particle polarisation, which describes dipole-dipole interaction, in more details. We present this consideration and show an astonishing result that the two-particle quantum correlation in dipolar BECs reveals in the same form as the self-consistent field term.