Elektrische Feldstärke und Interferenz von Laserstrahlen

Richter, Gresham T.; Brunner, W.; Paul, H.

doi:10.1002/andp.19644690504

Cited by 23 publications

(9 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Let k = 1, 2 refer to the input ports of the mirror. As is well known [124,125] By applying (11.128) it is possible to calculate the state change of an arbitrary input state. For the input state |n 1 = 1, n 2 = 0⟩ in which one single photon is entering input port 1 we find…”

Section: Photonsmentioning

confidence: 99%

Foundations of Quantum Mechanics, an Empiricist Approach

Muynck¹

2002

146

291

View full text Add to dashboard Cite

Section: Photonsmentioning

confidence: 99%

Foundations of Quantum Mechanics, an Empiricist Approach

Muynck¹

2002

146

291

View full text Add to dashboard Cite

“…[12], in a semiphenomenological manner, from the postulate that the partial beams should be able to produce an interference pattern which is identical to that predicted by classical optics . (For m=1 it is the famous "interface of one photon with itself" [13] we are dealing with .)…”

mentioning

confidence: 85%

“…It is interesting to note that the relations (1)-(3) imply that an incident Glauber field [16] will split into two Glauber fields (the wavefunction for the outgoing field being the direct product of two Glauber states), as has been shown [12,17] . Obviously, the latter process is the quantum-mechanical analogue of the well-known classical description of beam-splitting in the case of an incident field with fixed amplitude and phase .…”

mentioning

confidence: 98%

Quantum-mechanical Long-range Correlations Generated in Optical Beam-splitting

Paul¹

1981

Optica Acta: International Journal of Optics

Self Cite

View full text Add to dashboard Cite

It is pointed out that optical beam splitting, when the number of incident photons is fixed, produces quantum-mechanical correlations of the type discussed by Einstein, Podolsky and Rosen [1] . From this result, it is concluded that conventional interference experiments at large beam separation provide indirect evidence of the actual long-range character of intrinsically quantummechanical correlations .A crucial feature of the famous Gedankenexperiment of Einstein, Podolsky and Rosen (EPR) [1] is the existence of intrinsically quantum-mechanical correlations between two parts of a physical system which are separated by a (in principle arbitrarily) wide distance . It has been well known since the pioneering work of Bell [2] that such correlations cannot be adequately described on the basis of the classical reality concept, combined with the postulate of non-existing action at a distance, i .e . in the framework of so-called local hidden-variable theories (see the review article [3]) .In context with EPR-type experiments performed previously [3], which fully confirmed the quantum-mechanical predictions and ruled out local hidden-variable theories, the question received renewed interest as to the actual range of the quantum-mechanical correlations in question . Is the quantum-mechanical assertion really correct that those correlations should be a . . •l e to extend over arbitrarily long distances, or will they, eventually, automatically break down at a certain critical length, as was suspected first by Schrodinger [4] (see also [5][6][7][8])? To my knowledge, the maximum correlation length hitherto measured is 2 . 45 m [9] (see also [10]), the object of investigation being pairs of gamma quanta emitted in positronium decay .The purpose of the present paper is to draw attention to a simple optical experiment which provides further evidence for the preservation of quantummechanical correlations in the course of separation of two subsystems over larger and larger distances . What I have in mind is the splitting of a light beam into two beams . It will be shown that in each case a definite number of photons is incident, and EPRtype correlations between the two beams emerging from the beam-splitter are generated . Further, it is concluded that a spontaneous breakdown of those correlations at a large separation of the beams would imply that partial beams originating from incident thermal light will lose their capability to interfere .Let us describe the process of optical beam-splitting in the framework of quantum mechanics . We study the case when precisely m photons are impinging on the beam-splitter . For simplicity, we idealize the incident radiation as a single-mode 0030-3909,,

show abstract

“…B. [8, 91) oder Maserschwingungen zeigen, daB diesenzumindest in guter Naherungeine harmonische Welle definierter Phase im Sinne der klassischen Elektrodynamik zugeschrieben werden kann [ 5 ] . Man konnte daher hoffen, daB eine quantenmechanische Behandlung des Ausstrahlungsvorganges im Laser fur das Strahlungsfeldwelches, von einzelnen spontan emittierten Photonen ausgehend, durch Wechselwirkung mit den angeregten Atomen zu makroskopischer GroBe angewachsen isteinen Zustand ergibt , der einer klassischen Welle definierter Amplitude und Phase, d. h. also einem quantenmechanisch maximal koharenten Zustand entspricht [ 5 , 6, lo].…”

Section: Die Quantenmechanische Beschreibung Der Laserstrahlungunclassified

“…hierzu auch [S]). Eine experimentelle Unterscheidung zwischen den beiden Beschreibungsformen ist nicht moglich, jedoch korrespondieren nur die quantenmechanisch koharenten Zustande makroskopischer Intensitiit (einem Ensemble von) klassischen Wellen einheitlicher Amplitude und Phase, wie kurzlich von den Verfassern ausfuhrlich diskutiert wurde [5]. Da im Bereich makroskopischer Intensitaten erfahrungs-gemaD angenommen werden kann, daB Amplitude und Phase der Strahlung klassisch scharf definierte Werte besitzen, erscheint es zweckmaBig, den Laserstrahl (wegen seiner schon fur eine einzige Eigenschwingung makroskopischen Intensitat) fur Zeiten, welche klein gegenuber der reziproken Linienbreite Av sind, durch einen quantenmechanisch maximal koharenten Zustand zu beschreiben.…”

Section: Introductionunclassified

Zur Quantentheorie der Kohärenz der Laserstrahlung

Paul¹,

Brunner²,

Richter³

1965

Annalen der Physik

Self Cite

View full text Add to dashboard Cite

Nit 1 AAbl)ildunnInhaltsiibersicht, Es w i d gezrigt, daB die Frage der qua,~itenmechanische~i Kohareiiz der Maser-bzw.Laserstrahlung im Rahmen der bisherigen quantenelektrodgnamischen Modellrechnungen fur das Anlaufen eines Quantengenerators nirht eindeut'ig beant,wortet> werden kann. Erst die Forderung eines korrespondenzrnBBigen uberganges der quantenrnechanischen in die klassische Reschreibung eines Einzelsystetns fiihrt im Falle ma,kroskopischer Intensitat in einer Eigenschwingung zur mathematischen Darstellung des Laserstrahls durch einen quantenmechanisch maximal koharenten Zustand.

show abstract

Elektrische Feldstärke und Interferenz von Laserstrahlen

Cited by 23 publications

References 10 publications

Foundations of Quantum Mechanics, an Empiricist Approach

Foundations of Quantum Mechanics, an Empiricist Approach

Quantum-mechanical Long-range Correlations Generated in Optical Beam-splitting

Zur Quantentheorie der Kohärenz der Laserstrahlung

Contact Info

Product

Resources

About