Stability of Fock states in a two-component Bose-Einstein condensate with a regular classical counterpart

TL;DR

This paper investigates the stability of Fock states in a two-component Bose-Einstein condensate with regular classical dynamics, analyzing fidelity over time and proposing an experimental measurement scheme.

Contribution

It introduces a detailed analysis of Fock state stability in two-component BECs with classical regularity and suggests a practical method for fidelity measurement.

Findings

Fock states with all atoms in one component show greater stability initially.

Stability varies depending on initial state configuration.

Proposes an experimental scheme for direct fidelity measurement.

Abstract

We study the stability of a two-component Bose-Einstein condensate (BEC) in the parameter regime in which its classical counterpart has regular motion. The stability is characterized by the fidelity for both the same and different initial states. We study as initial states the Fock states with definite numbers of atoms in each component of the BEC. It is found that for some initial times the two Fock states with all the atoms in the same component of the BEC are stabler than Fock states with atoms distributed in the two components. An experimental scheme is discussed, in which the fidelity can be measured in a direct way.