Breakdown of the classical description of a local system

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Standard

Breakdown of the classical description of a local system. / Eran, Kot; Grønbech-Jensen, Niels; Nielsen, Bo Melholt; Neergaard-Nielsen, Jonas Schou; Polzik, Eugene Simon; Sørensen, Anders Søndberg.

I: EPL, Bind 108, Nr. 23, 06.06.2012, s. 233601.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

Harvard

Eran, K, Grønbech-Jensen, N, Nielsen, BM, Neergaard-Nielsen, JS, Polzik, ES & Sørensen, AS 2012, 'Breakdown of the classical description of a local system', EPL, bind 108, nr. 23, s. 233601. https://doi.org/10.1103/PhysRevLett.108.233601

APA

Eran, K., Grønbech-Jensen, N., Nielsen, B. M., Neergaard-Nielsen, J. S., Polzik, E. S., & Sørensen, A. S. (2012). Breakdown of the classical description of a local system. EPL, 108(23), 233601. https://doi.org/10.1103/PhysRevLett.108.233601

Vancouver

Eran K, Grønbech-Jensen N, Nielsen BM, Neergaard-Nielsen JS, Polzik ES, Sørensen AS. Breakdown of the classical description of a local system. EPL. 2012 jun 6;108(23):233601. https://doi.org/10.1103/PhysRevLett.108.233601

Author

Eran, Kot ; Grønbech-Jensen, Niels ; Nielsen, Bo Melholt ; Neergaard-Nielsen, Jonas Schou ; Polzik, Eugene Simon ; Sørensen, Anders Søndberg. / Breakdown of the classical description of a local system. I: EPL. 2012 ; Bind 108, Nr. 23. s. 233601.

Bibtex

@article{799b7077f8ce44f9805dd844b5c4b798,
title = "Breakdown of the classical description of a local system",
abstract = "We provide a straightforward demonstration of a fundamental difference between classical and quantum mechanics for a single local system: namely, the absence of a joint probability distribution of the position x and momentum p. Elaborating on a recently reported criterion by Bednorz and Belzig [ Phys. Rev. A 83 052113 (2011)] we derive a simple criterion that must be fulfilled for any joint probability distribution in classical physics. We demonstrate the violation of this criterion using the homodyne measurement of a single photon state, thus proving a straightforward signature of the breakdown of a classical description of the underlying state. Most importantly, the criterion used does not rely on quantum mechanics and can thus be used to demonstrate nonclassicality of systems not immediately apparent to exhibit quantum behavior. The criterion is directly applicable to any system described by the continuous canonical variables x and p, such as a mechanical or an electrical oscillator and a collective spin of a large ensemble.",
author = "Kot Eran and Niels Gr{\o}nbech-Jensen and Nielsen, {Bo Melholt} and Neergaard-Nielsen, {Jonas Schou} and Polzik, {Eugene Simon} and S{\o}rensen, {Anders S{\o}ndberg}",
year = "2012",
month = "6",
day = "6",
doi = "10.1103/PhysRevLett.108.233601",
language = "English",
volume = "108",
pages = "233601",
journal = "EPL",
issn = "0295-5075",
publisher = "IOP Publishing",
number = "23",

}

RIS

TY - JOUR

T1 - Breakdown of the classical description of a local system

AU - Eran, Kot

AU - Grønbech-Jensen, Niels

AU - Nielsen, Bo Melholt

AU - Neergaard-Nielsen, Jonas Schou

AU - Polzik, Eugene Simon

AU - Sørensen, Anders Søndberg

PY - 2012/6/6

Y1 - 2012/6/6

N2 - We provide a straightforward demonstration of a fundamental difference between classical and quantum mechanics for a single local system: namely, the absence of a joint probability distribution of the position x and momentum p. Elaborating on a recently reported criterion by Bednorz and Belzig [ Phys. Rev. A 83 052113 (2011)] we derive a simple criterion that must be fulfilled for any joint probability distribution in classical physics. We demonstrate the violation of this criterion using the homodyne measurement of a single photon state, thus proving a straightforward signature of the breakdown of a classical description of the underlying state. Most importantly, the criterion used does not rely on quantum mechanics and can thus be used to demonstrate nonclassicality of systems not immediately apparent to exhibit quantum behavior. The criterion is directly applicable to any system described by the continuous canonical variables x and p, such as a mechanical or an electrical oscillator and a collective spin of a large ensemble.

AB - We provide a straightforward demonstration of a fundamental difference between classical and quantum mechanics for a single local system: namely, the absence of a joint probability distribution of the position x and momentum p. Elaborating on a recently reported criterion by Bednorz and Belzig [ Phys. Rev. A 83 052113 (2011)] we derive a simple criterion that must be fulfilled for any joint probability distribution in classical physics. We demonstrate the violation of this criterion using the homodyne measurement of a single photon state, thus proving a straightforward signature of the breakdown of a classical description of the underlying state. Most importantly, the criterion used does not rely on quantum mechanics and can thus be used to demonstrate nonclassicality of systems not immediately apparent to exhibit quantum behavior. The criterion is directly applicable to any system described by the continuous canonical variables x and p, such as a mechanical or an electrical oscillator and a collective spin of a large ensemble.

U2 - 10.1103/PhysRevLett.108.233601

DO - 10.1103/PhysRevLett.108.233601

M3 - Journal article

VL - 108

SP - 233601

JO - EPL

JF - EPL

SN - 0295-5075

IS - 23

ER -

ID: 38235641