Observation of pairs of atoms at opposite momenta in an equilibrium interacting Bose gas

TL;DR

This paper reports the experimental observation of atom pairs with opposite momenta in an equilibrium interacting Bose gas, revealing quantum correlations and two-mode squeezing consistent with Bogoliubov theory.

Contribution

First direct measurement of atom pairs with opposite momenta in an equilibrium Bose gas, demonstrating quantum correlations and squeezing predicted by many-body theory.

Findings

Observation of atom pairs at opposite momenta

Quantitative characterization of many-body correlations

Evidence of two-mode squeezed states and number squeezing

Abstract

Quantum fluctuations play a central role in the properties of quantum matter. In non-interacting ensembles, they manifest as fluctuations of non-commuting observables, quantified by Heisenberg inequalities. In the presence of interactions, additional quantum fluctuations appear, from which many-body correlations and entanglement arise. In the context of many-body physics, the Bogoliubov theory provides us with an illuminating microscopic picture of how this occurs for weakly-interacting bosons, with the appearance of the quantum depletion formed by pairs of bosons with opposite momenta. Here, we report the observation of these atom pairs in the depletion of an equilibrium interacting Bose gas. A quantitative study of atom-atom correlations, both at opposite and close-by momenta, allows us to fully characterise the equilibrium many-body state. We show that the atom pairs share the properties of two-mode squeezed states, including relative number squeezing. Our results illustrate how interacting systems acquire non-trivial quantum correlations as a result of the interplay between quantum fluctuations and interactions