An analysis of interferometric measurements using the quantum phase formalism.
Item
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Title
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An analysis of interferometric measurements using the quantum phase formalism.
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Identifier
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AAI9917659
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identifier
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9917659
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Creator
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Han, Brian Y.
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Contributor
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Adviser: Mark Hillery
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Date
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1999
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Language
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English
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Publisher
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City University of New York.
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Subject
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Physics, Optics
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Abstract
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Employing the quantum phase formalism, we investigate the sensitivity of an interferometer. This sensitivity depends on the state of light which enters the interferometer through the difference phase distribution of the state of the light it provides inside the interferometer. It is known from a semiclassical analysis that difference phase squeezing inside the interferometer can be achieved from amplitude squeezing of the input beams. Following this analysis, we study the effect of quantum amplitude squeezing of the input beams on the sensitivity using a squeezed state. We find that quantum amplitude squeezing enhances the accuracy of the interferometer.;We then study number state inputs with equal intensities which lead to light inside the interferometer with narrow peaks in the difference phase distribution. We find that even though the peaks are narrow for this input state, effect of two peak structure inside the interferometer causes the signal to cancel. We also study the case for &vbm0;n,0&angr0;, , input state with n number of photons and a vacuum state. We find that for &vbm0;n,0&angr0;, state the peak in the difference phase distribution is located at p2 with the width of the peak to be in the order of 1n . Then we study the effect on the difference phase distribution of increasing photon numbers in one of the input ports from the zero, i.e. input states &vbm0;n,1&angr0;,&vbm0;n,2&angr0; and so on. We also study how the input state which is a linear combination of number states behaves inside the inteferometer and find that we obtain the sensitivity for this input state to be in the order of 1/n.;Finally, we examine the role of losses. These cause the phase distribution to spread and thereby reduce the accuracy to which the phase shift can be determined. We determine relations between how great the losses are, how much the accuracy is degraded.
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Type
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dissertation
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Source
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PQT Legacy CUNY.xlsx
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degree
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Ph.D.
