Detecting mode entanglement: The role of coherent states, superselection rules, and particle statistics

Sahel Ashhab, Koji Maruyama, Franco Nori

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

We discuss the possibility of observing quantum nonlocality using the so-called mode entanglement, analyzing the differences between different types of particles in this context. We first discuss the role of coherent states in such experiments, and we comment on the existence of coherent states in nature. The discussion of coherent states naturally raises questions about the role of particle statistics in this problem. Although the Pauli exclusion principle precludes coherent states with a large number of fermionic particles, we find that a large number of fermionic coherent states, each containing at most one particle, can be used to achieve the same effect as a bosonic coherent state for the purposes of this problem. The discussion of superselection rules arises naturally in this context, because their applicability to a given situation prohibits the use of coherent states. This limitation particularly affects the scenario that we propose for detecting the mode entanglement of fermionic particles.

Original languageEnglish
Article number052113
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume76
Issue number5
DOIs
Publication statusPublished - 21 Nov 2007
Externally publishedYes

Fingerprint

statistics
Pauli exclusion principle

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Physics and Astronomy(all)

Cite this

Detecting mode entanglement : The role of coherent states, superselection rules, and particle statistics. / Ashhab, Sahel; Maruyama, Koji; Nori, Franco.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 76, No. 5, 052113, 21.11.2007.

Research output: Contribution to journalArticle

@article{21c44d11c2fb4f8988e9fcc93bc9a93f,
title = "Detecting mode entanglement: The role of coherent states, superselection rules, and particle statistics",
abstract = "We discuss the possibility of observing quantum nonlocality using the so-called mode entanglement, analyzing the differences between different types of particles in this context. We first discuss the role of coherent states in such experiments, and we comment on the existence of coherent states in nature. The discussion of coherent states naturally raises questions about the role of particle statistics in this problem. Although the Pauli exclusion principle precludes coherent states with a large number of fermionic particles, we find that a large number of fermionic coherent states, each containing at most one particle, can be used to achieve the same effect as a bosonic coherent state for the purposes of this problem. The discussion of superselection rules arises naturally in this context, because their applicability to a given situation prohibits the use of coherent states. This limitation particularly affects the scenario that we propose for detecting the mode entanglement of fermionic particles.",
author = "Sahel Ashhab and Koji Maruyama and Franco Nori",
year = "2007",
month = "11",
day = "21",
doi = "10.1103/PhysRevA.76.052113",
language = "English",
volume = "76",
journal = "Physical Review A - Atomic, Molecular, and Optical Physics",
issn = "1050-2947",
publisher = "American Physical Society",
number = "5",

}

TY - JOUR

T1 - Detecting mode entanglement

T2 - The role of coherent states, superselection rules, and particle statistics

AU - Ashhab, Sahel

AU - Maruyama, Koji

AU - Nori, Franco

PY - 2007/11/21

Y1 - 2007/11/21

N2 - We discuss the possibility of observing quantum nonlocality using the so-called mode entanglement, analyzing the differences between different types of particles in this context. We first discuss the role of coherent states in such experiments, and we comment on the existence of coherent states in nature. The discussion of coherent states naturally raises questions about the role of particle statistics in this problem. Although the Pauli exclusion principle precludes coherent states with a large number of fermionic particles, we find that a large number of fermionic coherent states, each containing at most one particle, can be used to achieve the same effect as a bosonic coherent state for the purposes of this problem. The discussion of superselection rules arises naturally in this context, because their applicability to a given situation prohibits the use of coherent states. This limitation particularly affects the scenario that we propose for detecting the mode entanglement of fermionic particles.

AB - We discuss the possibility of observing quantum nonlocality using the so-called mode entanglement, analyzing the differences between different types of particles in this context. We first discuss the role of coherent states in such experiments, and we comment on the existence of coherent states in nature. The discussion of coherent states naturally raises questions about the role of particle statistics in this problem. Although the Pauli exclusion principle precludes coherent states with a large number of fermionic particles, we find that a large number of fermionic coherent states, each containing at most one particle, can be used to achieve the same effect as a bosonic coherent state for the purposes of this problem. The discussion of superselection rules arises naturally in this context, because their applicability to a given situation prohibits the use of coherent states. This limitation particularly affects the scenario that we propose for detecting the mode entanglement of fermionic particles.

UR - http://www.scopus.com/inward/record.url?scp=36349003492&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36349003492&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.76.052113

DO - 10.1103/PhysRevA.76.052113

M3 - Article

AN - SCOPUS:36349003492

VL - 76

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 5

M1 - 052113

ER -