Studies on the amplitude-squared squeezed states of light.
Item
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Title
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Studies on the amplitude-squared squeezed states of light.
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Identifier
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AAI9405606
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identifier
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9405606
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Creator
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Yu, Daoqi.
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Contributor
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Adviser: Mark S. Hillery
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Date
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1993
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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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Amplitude-squared squeezed states are nonclassical states of light with reduced quantum noise in one quadrature of the square amplitude at the expense of enlarged fluctuation in another quadrature. Focusing on the investigation on these amplitude-squared squeezed states, this dissertation contains four different parts. The first and last parts are concentrated on the minimum uncertainty amplitude-squared squeezed states and their quantum statistical properties. In the first part, a particularly simple subset of the states are found and investigated. These states are constructed by applying a squeeze operator to a state that consists of a Hermite polynomial, whose argument is the mode creation operator multiplied by a constant, acting on the vacuum. Investigations reveal that these states may or may not be squeezed in the normal sense, and may or may not have sub-Poissonian photon statistics. In the second part, it is shown that large amount of amplitude-squared squeezing can be obtained outside the cavity while the maximum reduction of the noise of the square of the field amplitude inside the cavity is only by 50%. In the third part, the phase-insensitive amplification of amplitude-squared squeezing as well as two other higher-order squeezing, fourth-order squeezing and intrinsic fourth-order squeezing, is examined. It is found that for any input state, both fourth-order squeezing and intrinsic fourth-order squeezing disappear at the output if the intensity gain is greater than 2. Amplitude-squared squeezing, on the other hand, can survive amplification at gains slightly greater than 2. Therefore, the photon-cloning limit (intensity gain equal 2) is not a fundamental limit to nonclassical behavior. In the last part, general solutions to the eigenvalue equation for amplitude-squared squeezed minimum uncertainty states have been found and investigated. The average photon number, quasi-probability Q-function, and photocount distribution of these states have been derived and explored. It is shown that symmetry of Q-function of any quantum state is related to the suppression of certain terms of its photocount probability. Finally, oscillation of the photocount probability in highly amplitude-squared squeezed minimum uncertainty states has been found and interpreted in terms of "interference in phase space".
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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.
