Higher-order nonclassical properties of atom-molecule Bose-Einstein Condensate

TL;DR

This paper investigates the nonclassical quantum properties of atom-molecule Bose-Einstein condensates, revealing significant squeezing, antibunching, and entanglement through both analytical and numerical methods.

Contribution

It provides a third-order perturbative analysis of the quantum statistical properties of atom-molecule BECs, demonstrating their highly nonclassical nature with exact numerical validation.

Findings

Observation of higher-order squeezing and antibunching in atomic and molecular modes

Detection of strong entanglement in the atom-molecule system

Analytic results agree with exact numerical simulations

Abstract

The transient quantum statistical properties of the atoms and molecules in an atom-molecule BEC system are investigated by obtaining a third-order perturbative solution of the Heisenberg's equations of motion corresponding to the Hamiltonian of an atom-molecule BEC system where two atoms can collide to form a molecule. Time dependent quantities like two boson correlation, entanglement, squeezing, antibunching, etc., are computed and their properties are compared. It is established that atom-molecule BEC system is highly nonclassical as lower-order and higher-order squeezing and antibunching in pure (atomic and molecular) modes, squeezing and antibunching in compound mode and lower-order and higher-order entanglement in compound mode can be observed in the atom-molecule BEC system. Exact numerical results are also reported and analytic results obtained using the perturbative technique are shown to coincide with the exact numerical results.