Multiconfigurational Hartree-Fock theory for identical bosons in a double well

TL;DR

This paper introduces a multiconfigurational Hartree-Fock approach to study Bose-Einstein condensates in a double well, capturing both mean field and correlation effects to better understand fragmentation and quantum states.

Contribution

It develops and implements a novel multiconfigurational Hartree-Fock method for bosons, incorporating atomic interactions and correlations in a double well potential.

Findings

Identifies localized, delocalized, and superposition states across barrier heights.

Shows both mean field and correlation effects are crucial for accurate modeling.

Reveals the importance of multiconfigurational states in condensate fragmentation.

Abstract

Multiconfigurational Hartree-Fock theory is presented and implemented in an investigation of the fragmentation of a Bose-Einstein condensate made of identical bosonic atoms in a double well potential at zero temperature. The approach builds in the effects of the condensate mean field and of atomic correlations by describing generalized many-body states that are composed of multiple configurations which incorporate atomic interactions. Nonlinear and linear optimization is utilized in conjunction with the variational and Hylleraas-Undheim theorems to find the optimal ground and excited states of the interacting system. The resulting energy spectrum and associated eigenstates are presented as a function of double well barrier height. Delocalized and localized single configurational states are found in the extreme limits of the simple and fragmented condensate ground states, while multiconfigurational states and macroscopic quantum superposition states are revealed throughout the full extent of barrier heights. Comparison is made to existing theories that either neglect mean field or correlation effects and it is found that contributions from both interactions are essential in order to obtain a robust microscopic understanding of the condensate's atomic structure throughout the fragmentation process.