Ideal laser amplifier as a phase measuring system of a microscopic radiation field

Gerhardt, H.; Welling, H.; Frölich, D.

doi:10.1007/bf00934177

Cited by 32 publications

(21 citation statements)

References 3 publications

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“…(15) can be used to derive the following convenient upper and lower bounds (22) and (24) respectively, which do not depend on ξ, and the GBL data from Ref. [7]. In addition horizontal error-bars of width n 1/2 are added to the GBL data.…”

Section: Quantum Phase Fluctuationsmentioning

confidence: 99%

“…The experimental data of Ref. [7] (GBL-data) used in the figures of this article are listed in Ref. [23].…”

Section: Relative Quantum Phase Operators and Comparison To The Gmentioning

confidence: 99%

“…[7] one has measured phase fluctuations of two interfering laser beams. A comparison of these experimental data with the fluctuations of the relative SG phase operator as given by…”

Section: Relative Quantum Phase Operators and Comparison To The Gmentioning

confidence: 99%

“…Phase fluctuations in the PB theory and in the Susskind-Glogower (SG) theory [1,15] are discussed in Section III and various bounds on phase fluctuations are derived. Relative PB and SG phase operators are discussed in Section IV together with a comparison to the GBL experimental data [7]. The PB theory and the NohFougères-Mandel (NFM) [16,17,18] operational theory for a relative phase operator measurement are discussed in Section V and, finally, some concluding comments are given in Section VI.…”

Section: Introductionmentioning

confidence: 99%

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On the Quantum Phase Operator for Coherent States

Skagerstam¹,

Bergsjordet²

2004

Phys. Scr.

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In papers by Lynch [Phys. Rev. A41, 2841(1990] and Gerry and Urbanski [Phys. Rev. A42, 662 (1990)] it has been argued that the phase-fluctuation laser experiments of Gerhardt, Büchler and Lifkin [Phys. Lett. 49A, 119 (1974)] are in good agreement with the variance of the Pegg-Barnett phase operator for a coherent state, even for a small number of photons. We argue that this is not conclusive. In fact, we show that the variance of the phase in fact depends on the relative phase between the phase of the coherent state and the off-set phase φ0 of the Pegg-Barnett phase operator. This off-set phase is replaced with the phase of a reference beam in an actual experiment and we show that several choices of such a relative phase can be fitted to the experimental data. We also discuss the Noh, Mandel [Phys. Rev. A46, 2840 (1992)] relative phase experiment in terms of the Pegg-Barnett phase taking post-selection conditions into account.

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Section: Quantum Phase Fluctuationsmentioning

confidence: 99%

“…The experimental data of Ref. [7] (GBL-data) used in the figures of this article are listed in Ref. [23].…”

Section: Relative Quantum Phase Operators and Comparison To The Gmentioning

confidence: 99%

“…[7] one has measured phase fluctuations of two interfering laser beams. A comparison of these experimental data with the fluctuations of the relative SG phase operator as given by…”

Section: Relative Quantum Phase Operators and Comparison To The Gmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On the Quantum Phase Operator for Coherent States

Skagerstam¹,

Bergsjordet²

2004

Phys. Scr.

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“…By contrast, strong coherent states of light, which approximate classical states, should have sharply defined values of phase. For this reason experimental investigations into the quantum nature of the phase of light [1,2] have paid particular attention to finding the width of the phase distribution of states of light with low mean photon number. As the variance of the phase angle ϕ itself depends phase distributions, significant divergences occur between the canonical and operational phase distributions.…”

Section: Introductionmentioning

confidence: 99%

Measuring the phase variance of light

Pregnell

Pegg

2001

Journal of Modern Optics

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Abstract. The results of experiments designed to measure the operational phase cosine and sine variances of weak states of light disagree with the variances predicted by canonical phase formalisms. As these variances are fundamental manifestations of the quantum nature of phase, it is important to be able to measure the canonical variances also. A recent suggestion to do so, based on use of a two-component probe, involves the difficult preparation of exotic states of light which have not yet been produced. In this paper we show how the variances can be measured with simple coherent state inputs.The retrodictive formalism of quantum mechanics provides useful insight into the physics involved.3

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Gedämpfter Laserverstärker und Phasenunschärfe

Bandilla¹

1976

Annalen der Physik

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I n h a 1 t s u b e r s i c h t. I n Fortfuhrung der Arbeiten zum Problem, wie man die Phase eines mikroskopischen Strahlungsfeldes messen kann, wird bei dem linearen Laserverstilrker die Dampfung eingefuhrt. Dazu wird die zugehorige Fokker-Planck-Gleichung gelost, wodurch man die Wigner-Verteilung fur einen beliebigen Anfangszustand des Feldes gewinnt. Fur hinreichend grol3e Verstlrkung kann man hieraus die Phasenwahrscheinlichkeitsverteilung fur das verstarkte Feld bestimmen. Es wird gezeigt, da13 ein merklich gedilmpfter Laserverstarker nicht zur Phasenmessung bei kleinen Intensitaten geeignet ist. Damped Laser Amplifier and Phase UncertaintyA b s t r a c t . I n extension of a paper about the possibility to measure the phase of a microscopic field by linear amplification the damping is introduced in the linear amplifier. For this end the Fokker-Planck equation is solved and a quasiprobability distribution is obtained for an arbitrary initial state. With the help of this distribution the phase uncertainty for the largely amplified field is calculated. It is shown that appreciable damping destroys the result which was obtained for a lossless laser amplifier.

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Ideal laser amplifier as a phase measuring system of a microscopic radiation field

Cited by 32 publications

References 3 publications

On the Quantum Phase Operator for Coherent States

On the Quantum Phase Operator for Coherent States

Measuring the phase variance of light

Gedämpfter Laserverstärker und Phasenunschärfe

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