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Local photons

Apr 9, 2021

25 pages

Published in:

Photon. 3 (2022) 978855

e-Print:

2104.04499 [quant-ph]

DOI:

10.3389/fphot.2022.978855 (publication)

View in:

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Abstract: (arXiv)

The classical free-space solutions of Maxwell's equations for light propagation in one dimension include wave packets of any shape that travel at the speed of light. This includes highly-localised wave packets that remain localised at all times. Motivated by this observation, this paper builds on recent work by Southall et al. [J. Mod. Opt. 68, 647 (2021)] and shows that a local description of the quantised electromagnetic field, which supports such solutions and which must overcome several no-go theorems, is indeed possible. Starting from the assumption that the basic building blocks of photonic wave packets are so-called bosons localised in position (blips), we identify the relevant Schrödinger equation and construct Lorentz-covariant electric and magnetic field observables. In addition we show that our approach simplifies to the standard description of quantum electrodynamics when restricted to a subspace of states.

Note:

25 pages, 1 figure, final accepted version

References(76)

Figures(1)

[1]

M.H.L. Pryce

- Phil.Trans.Roy.Soc.Lond.A 195 (1948) 62

[2]

Localized States for Elementary Systems

T.D. Newton
(
- Princeton U.
)
,
Eugene P. Wigner
(
- Princeton U.
)

- Rev.Mod.Phys. 21 (1949) 400-406,
- Reprinted in *Noz, M.E. (ed.), Kim, Y.S. (ed.): Special relativity and quantum theory* 395-401
•
DOI:
- 10.1103/RevModPhys.21.400

[3]

M. Hawton
,
V. Debière

- J.Math.Phys. 60 (2019) 052104

[4]

Simple Proof of No Position Operator for Quanta with Zero Mass and Nonzero Helicity

T.F. Jordan
(
- Minnesota U., Duluth and
- Rochester U.
)

- J.Math.Phys. 19 (1978) 1382-1385
•
DOI:
- 10.1063/1.523838

[5]

G.N. Fleming

- Phys.Rev. 137 (1965) B188

[6]

G.N. Fleming

- Phys.Rev. 139 (1965) B963

[7]

G.N. Fleming

- Phil.Sci. 67 (2000) 515

[8]

Reeh-Schlieder defeats Newton-Wigner: On alternative localization schemes in relativistic quantum field theory

Hans Halvorson
(
- Pittsburgh U., Dept. Phil.
)

- Phil.Sci. 68 (2001) 111-133
•
e-Print:
- quant-ph/0007060
•
DOI:
- 10.1086/392869

[9]

Ann. Fond. Louis de Broglie 22, 373

A. Shojai
,
M. Golshani

[10]

On the localizability of quantum mechanical systems

A.S. Wightman
(
- Princeton U.
)

- Rev.Mod.Phys. 34 (1962) 845-872
•
DOI:
- 10.1103/RevModPhys.34.845

[11]

J.M. Jauch
,
C. Piron

- Helv.Phys.Acta 40 (1967) 559

[12]

Localizability for particles of mass zero

W.O. Amrein

- Helv.Phys.Acta 42 (1969) 149-190

[13]

Photon position operator with commuting components

Margaret Hawton
(
- Lakehead U.
)

- Phys.Rev.A 59 (1999) 954-959
•
DOI:
- 10.1103/PhysRevA.59.954

[14]

M. Hawton
,
W.E. Baylis

- Phys.Rev.A 64 (2001) 012101

[15]

I. Bialynicki-Birula

- Acta Phys.Polon.A 86 (1994) 97

[16]

(Amsterdam)

I. Bialynicki-Birula

- Prog.Opt. 36 (1996) 245-294

[17]

Photon wave functions

J.E. Sipe
(
- JILA, Boulder
)

- Phys.Rev.A 52 (1995) 1875-1883
•
DOI:
- 10.1103/PhysRevA.52.1875

[18]

Photon wave functions, wave-packet quantization of light, and coherence theory

Brian J. Smith
(
- Oxford U. and
- Oregon U.
)
,
M.G. Raymer
(
- Oregon U.
)

- New J.Phys. 9 (2007) 414
•
e-Print:
- 0708.0831
•
DOI:
- 10.1088/1367-2630/9/11/414

[19]

R.J. Glauber

- Phys.Rev. 130 (1963) 6

[20]

J.M. Knight

- J.Math.Phys. 2 (1961) 459

[21]

A.L. Licht

- J.Math.Phys. 4 (1963) 1443

[22]

I. Bialynicki-Birula
,
Z. Bialynicka-Birula

- Phys.Rev.A 79 (2009) 032112

[23]

L. Gross

- J.Math.Phys. 5 (1964) 687

[24]

M. Hawton

- Phys.Rev.A 75 (2007) 062107

[25]

M. Hawton

- Proc.SPIE Int.Soc.Opt.Eng. 6664 (2007) 666408

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