Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/76702
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Type: Journal article
Title: Uncertainty relations and indistinguishable particles
Author: Hasse, C.
Citation: Physical Review A: Atomic, Molecular and Optical Physics, 2012; 86(6):1-7
Publisher: American Physical Soc
Issue Date: 2012
ISSN: 1050-2947
1094-1622
Statement of
Responsibility: 
Cael L. Hasse
Abstract: We show that for fermion states, measurements of any two finite outcome particle quantum numbers (e.g., spin) are not constrained by a minimum total uncertainty. We begin by defining uncertainties in terms of the outputs of a measurement apparatus. This allows us to compare uncertainties between multiparticle states of distinguishable and indistinguishable particles. Entropic uncertainty relations are derived for both distinguishable and indistinguishable particles. We then derive upper bounds on the minimum total uncertainty for bosons and fermions. These upper bounds apply to any pair of particle quantum numbers and depend only on the number of particles N and the number of outcomes n for the quantum numbers. For general N, these upper bounds necessitate a minimum total uncertainty much lower than that for distinguishable particles. The fermion upper bound on the minimum total uncertainty for N an integer multiple of n is zero. Our results show that uncertainty limits derived for single particle observables are valid only for particles that can be effectively distinguished. Outside this range of validity, the apparent fundamental uncertainty limits can be overcome. © 2012 American Physical Society.
Description: Extent: 6p.
Rights: ©2012 American Physical Society
DOI: 10.1103/PhysRevA.86.062101
Grant ID: ARC
Published version: http://dx.doi.org/10.1103/physreva.86.062101
Appears in Collections:Aurora harvest
Special Research Centre for the Subatomic Structure of Matter publications

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