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Many-body Bell inequalities for bosonic qubits

by Jan Chwedenczuk

This Submission thread is now published as SciPost Phys. Core 5, 025 (2022)

Submission summary

As Contributors: Jan Chwedeńczuk
Arxiv Link: https://arxiv.org/abs/2109.15156v3 (pdf)
Date accepted: 2022-04-14
Date submitted: 2022-04-04 11:32
Submitted by: Chwedeńczuk, Jan
Submitted to: SciPost Physics Core
Academic field: Physics
Specialties:
  • Atomic, Molecular and Optical Physics - Theory
  • Quantum Physics
Approach: Theoretical

Abstract

Since John Bell formulated his paramount inequality for a pair of spin-$1/2$ particles, quantum mechanics has been confronted with the postulates of local realism with various equivalent configurations. Current technology, with its advanced manipulation and detection methods, allows to extend the Bell tests to more complex structures. The aim of this work is to analyze a set of Bell inequalities suitable for a possibly broad family of many-body systems with the focus on bosonic qubits. We develop a method that allows for a step-by-step study of the many-body Bell correlations, for instance among atoms forming a two-mode Bose-Einstein condensate or between photons obtained from the parametric-down conversion. The presented approach is valid both for cases of fixed and non-fixed number of particles, hence it allows for a thorough analysis of quantum correlations in a variety of many-body systems.

Published as SciPost Phys. Core 5, 025 (2022)



Author comments upon resubmission

Dear Prof. Toth,

Thank you again for your time devoted to handling of my manuscript. I would also like to thank the Referees for their positive comments and their final recommendations.

I fully agree with the revisions suggested by the Referees in this second round. In this resubmission, please find the manuscript with all their remarks taken into account.

I hope that after these modifications, the manuscript could be accepted for the SciPost Physics Core.

With kind regards,
Jan Chwedenczuk

List of changes

1) In this revised manuscript, the minor corrections have been applied throughout the text.
2) Also, the text has been modified so that it refers to many-body Bell correlations rather than many-body nonlocality.

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