Violation of Hudson's theorem in relativistic quantum mechanics

Andre G. Campos; Renan Cabrera; Denys I. Bondar; Herschel A. Rabitz

doi:10.1103/PhysRevA.90.034102

Violation of Hudson's theorem in relativistic quantum mechanics

Andre G. Campos, Renan Cabrera, Denys I. Bondar, Herschel A. Rabitz

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

In nonrelativistic quantum mechanics, Hudson's theorem states that a Gaussian wave function is the only pure state corresponding to a positive Wigner function (WF). We explicitly construct non-Gaussian Dirac spinors with positive relativistic WFs. These pure relativistic states are coherent superpositions of particles and antiparticles, while the existence of positive WFs exclusive composed of particles is conjectured. These observations may open new directions in relativistic quantum information theory.

Original language	English (US)
Article number	034102
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	90
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.90.034102
State	Published - Sep 24 2014

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

Access to Document

10.1103/PhysRevA.90.034102

Cite this

@article{f4d95a46bd7a4630864005701973344d,

title = "Violation of Hudson's theorem in relativistic quantum mechanics",

abstract = "In nonrelativistic quantum mechanics, Hudson's theorem states that a Gaussian wave function is the only pure state corresponding to a positive Wigner function (WF). We explicitly construct non-Gaussian Dirac spinors with positive relativistic WFs. These pure relativistic states are coherent superpositions of particles and antiparticles, while the existence of positive WFs exclusive composed of particles is conjectured. These observations may open new directions in relativistic quantum information theory.",

author = "Campos, {Andre G.} and Renan Cabrera and Bondar, {Denys I.} and Rabitz, {Herschel A.}",

note = "Publisher Copyright: {\textcopyright} 2014 American Physical Society.",

year = "2014",

month = sep,

day = "24",

doi = "10.1103/PhysRevA.90.034102",

language = "English (US)",

volume = "90",

journal = "Physical Review A - Atomic, Molecular, and Optical Physics",

issn = "1050-2947",

publisher = "American Physical Society",

number = "3",

}

TY - JOUR

T1 - Violation of Hudson's theorem in relativistic quantum mechanics

AU - Campos, Andre G.

AU - Cabrera, Renan

AU - Bondar, Denys I.

AU - Rabitz, Herschel A.

PY - 2014/9/24

Y1 - 2014/9/24

N2 - In nonrelativistic quantum mechanics, Hudson's theorem states that a Gaussian wave function is the only pure state corresponding to a positive Wigner function (WF). We explicitly construct non-Gaussian Dirac spinors with positive relativistic WFs. These pure relativistic states are coherent superpositions of particles and antiparticles, while the existence of positive WFs exclusive composed of particles is conjectured. These observations may open new directions in relativistic quantum information theory.

AB - In nonrelativistic quantum mechanics, Hudson's theorem states that a Gaussian wave function is the only pure state corresponding to a positive Wigner function (WF). We explicitly construct non-Gaussian Dirac spinors with positive relativistic WFs. These pure relativistic states are coherent superpositions of particles and antiparticles, while the existence of positive WFs exclusive composed of particles is conjectured. These observations may open new directions in relativistic quantum information theory.

UR - http://www.scopus.com/inward/record.url?scp=84907908440&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84907908440&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.90.034102

DO - 10.1103/PhysRevA.90.034102

M3 - Article

AN - SCOPUS:84907908440

SN - 1050-2947

VL - 90

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

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

IS - 3

M1 - 034102

ER -

Violation of Hudson's theorem in relativistic quantum mechanics

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this