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Title: Bell inequality for pairs of particle-number-superselection-rule restricted states

Abstract

Proposals for Bell-inequality tests on systems restricted by the particle-number-superselection rule often require operations that are difficult to implement in practice. In this article, we derive a Bell inequality, where measurements on pairs of states are used as a method to bypass this superselection rule. In particular, we focus on mode entanglement of an arbitrary number of massive particles and show that our Bell inequality detects the entanglement in an identical pair of states when other inequalities fail. However, as the number of particles in the system increases, the violation of our Bell inequality decreases due to the restriction in the measurement space caused by the superselection rule. This Bell test can be implemented using techniques that are routinely used in current experiments.

Authors:
;  [1];  [1]
  1. Department of Physics, University of Oxford, Clarendon Laboratory, Oxford OX1 3PU (United Kingdom)
Publication Date:
OSTI Identifier:
21450716
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 82; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.82.042116; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BELL THEOREM; ENERGY LEVELS; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; QUANTUM STATES; SPACE; SUPERSELECTION RULES; MECHANICS; SELECTION RULES

Citation Formats

Heaney, Libby, Jaksch, Dieter, Centre for Quantum Technologies, National University of Singapore, Lee, Seung-Woo, and Center for Subwavelength Optics and Department of Physics and Astronomy, Seoul National University, Seoul 151-742. Bell inequality for pairs of particle-number-superselection-rule restricted states. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.82.042116.
Heaney, Libby, Jaksch, Dieter, Centre for Quantum Technologies, National University of Singapore, Lee, Seung-Woo, & Center for Subwavelength Optics and Department of Physics and Astronomy, Seoul National University, Seoul 151-742. Bell inequality for pairs of particle-number-superselection-rule restricted states. United States. https://doi.org/10.1103/PHYSREVA.82.042116
Heaney, Libby, Jaksch, Dieter, Centre for Quantum Technologies, National University of Singapore, Lee, Seung-Woo, and Center for Subwavelength Optics and Department of Physics and Astronomy, Seoul National University, Seoul 151-742. 2010. "Bell inequality for pairs of particle-number-superselection-rule restricted states". United States. https://doi.org/10.1103/PHYSREVA.82.042116.
@article{osti_21450716,
title = {Bell inequality for pairs of particle-number-superselection-rule restricted states},
author = {Heaney, Libby and Jaksch, Dieter and Centre for Quantum Technologies, National University of Singapore and Lee, Seung-Woo and Center for Subwavelength Optics and Department of Physics and Astronomy, Seoul National University, Seoul 151-742},
abstractNote = {Proposals for Bell-inequality tests on systems restricted by the particle-number-superselection rule often require operations that are difficult to implement in practice. In this article, we derive a Bell inequality, where measurements on pairs of states are used as a method to bypass this superselection rule. In particular, we focus on mode entanglement of an arbitrary number of massive particles and show that our Bell inequality detects the entanglement in an identical pair of states when other inequalities fail. However, as the number of particles in the system increases, the violation of our Bell inequality decreases due to the restriction in the measurement space caused by the superselection rule. This Bell test can be implemented using techniques that are routinely used in current experiments.},
doi = {10.1103/PHYSREVA.82.042116},
url = {https://www.osti.gov/biblio/21450716}, journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 82,
place = {United States},
year = {Fri Oct 15 00:00:00 EDT 2010},
month = {Fri Oct 15 00:00:00 EDT 2010}
}