Strong spin-oscillation of small spin-1 condensates caused by an inclined weak magnetic field

TL;DR

This paper investigates how a weak inclined magnetic field induces strong spin oscillations in small spin-1 condensates, revealing high sensitivity to field parameters and providing analytical descriptions beyond mean field theory.

Contribution

It introduces an approach beyond mean field theory to analyze spin evolution in small condensates under weak inclined magnetic fields, with analytical solutions for population dynamics.

Findings

Strong spin oscillations caused by inclined weak magnetic fields.

Evolution highly sensitive to field magnitude and direction.

Analytical forms for spin-component populations.

Abstract

When a magnetic field is applied along a direction deviated from the quantization $Z$-axis, the conservation of total magnetization holds no more. In this case the inclined field can cause a strong spin-evolution via the linear Zeeman term even the field is as weak as a percentage of $mG$. An approach beyond the mean field theory is proposed to study the evolution of small $^{87}$Rb condensates under the weak inclined fields. The time-dependent populations of spin-components are given in analytical forms. The evolution is found to be highly sensitive to the magnitude and direction of the field.