Typical observables in a two-mode Bose system

TL;DR

This paper investigates the concept of typicality in two-mode Bose systems, showing that certain observables, like density correlations, yield consistent results across different states, highlighting their robustness for experimental measurement.

Contribution

It characterizes typical observables in two-mode Bose systems, providing criteria for their identification and analyzing the special case of density correlation functions.

Findings

Density correlation functions are typical observables in two-mode Bose systems.

Typical observables yield nearly identical measurement results across different states.

The paper establishes criteria to determine the typicality of observables.

Abstract

A class of k-particle observables in a two-mode system of Bose particles is characterized by typicality: if the state of the system is sampled out of a suitable ensemble, an experimental measurement of that observable yields (almost) always the same result. We investigate the general features of typical observables, the criteria to determine typicality and finally focus on the case of density correlation functions, which are related to spatial distribution of particles and interference.