Further investigations of the operationally defined quantum phase

Noh, Joseph J.; Fougères, Alain-Jérôme; Mandeļ, L.

doi:10.1103/physreva.46.2840

Cited by 120 publications

(50 citation statements)

References 45 publications

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“…This greatly simplifies the integration in (26), and as a result we obtain the following leading contributions to the two first moments:…”

Section: A Operational Time Of Arrivalmentioning

confidence: 97%

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Erratum: Operational time of arrival in quantum phase space [Phys. Rev. A 60, 2689 (1999)]

Kochański¹,

Wódkiewicz²

2000

Phys. Rev. A

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An operational time of arrival is introduced using a realistic position and momentum measurement scheme. The phase space measurement involves the dynamics of a quantum particle probed by a measuring device. For such a measurement an operational positive operator valued measure in phase space is introduced and investigated. In such an operational formalism a quantum mechanical time operator is constructed and analyzed. A phase space time and energy uncertainty relation is derived. PACS number(s): 03.65.Bz, 42.50.Dv

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“…This greatly simplifies the integration in (26), and as a result we obtain the following leading contributions to the two first moments:…”

Section: A Operational Time Of Arrivalmentioning

confidence: 97%

“…Our work is mainly motivated by a recent successful experimental approach, in which operational measurements of the quantum phase of optical fields have been performed [26]. Such operational measurements have been related to simultaneous joint measurements of position and momentum operators in a space extended by the measuring device.…”

Section: Introductionmentioning

confidence: 99%

Erratum: Operational time of arrival in quantum phase space [Phys. Rev. A 60, 2689 (1999)]

Kochański¹,

Wódkiewicz²

2000

Phys. Rev. A

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“…[16,17,18] a new formalism (NFM) for the phase difference between the states of two quantized electromagnetic fields is explored both theoretically and experimentally. The experimental setup is illustrated in Figure The experimental setup as described by Noh, Fougères and Mandel in Refs.…”

Section: The Nfm Operational Approach and Comparison With The Pb Tmentioning

confidence: 99%

“…We then subtract the contributions discarded by NFM in their experiment, i.e. (26) and renormalize the final result with the factor [16,17,18]…”

Section: The Nfm Operational Approach and Comparison With The Pb Tmentioning

confidence: 99%

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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“…The eight-port interferometer [23] used by Noh et al [4,5] and Torgerson and Mandel [5,6] is illustrated in …”

Section: Eight-port Interferometer a Binomial Reference Statementioning

confidence: 99%

Binomial states and the phase distribution measurement of weak optical fields

Pregnell

Pegg

2003

Phys. Rev. A

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We show that the eight-port interferometer used by Mandel [Phys. Rev. Lett. 71, 2579 (1993)] to measure their operational phase distribution of light can also be used to measure the canonical phase distribution of weak optical fields, where canonical phase is defined as the complement of photon number. A binomial reference state is required for this purpose, which we show can be obtained to an excellent degree of approximation from a suitably squeezed state. The proposed method requires only photodetectors that can distinguish among zero, one and more than one photons and is not particularly sensitive to photodetector imperfections.

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Further investigations of the operationally defined quantum phase

Cited by 120 publications

References 45 publications

Erratum: Operational time of arrival in quantum phase space [Phys. Rev. A 60, 2689 (1999)]

Erratum: Operational time of arrival in quantum phase space [Phys. Rev. A 60, 2689 (1999)]

On the Quantum Phase Operator for Coherent States

Binomial states and the phase distribution measurement of weak optical fields

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