Citation
Schumaker, Bonny Laura (1985) Theoretical Investigations in Nonlinear Quantum Optics, Theory of Measurement, and Pulsations of General Relativistic Models of Neutron Stars. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechTHESIS:09062017132307035
Abstract
This thesis is a collection of six papers. The first four constitute the heart of the thesis; they are concerned with quantum mechanical properties of certain harmonicoscillator states. The first paper is a discourse on singlemode and twomode Gaussian pure states (GPS), states produced when harmonic oscillators in their ground states are exposed to potentials that are linear or quadratic in oscillator position and moment um variables (creation and annihilation operators). The second and third papers develop a formalism for analyzing twophoton devices (e.g., parametric amplifiers and phaseconjugate mirrors), in which photons in the ouput modes arise from twophoton transitions, i.e., are created or destroyed two at a time. The states produced by such devices are singlemode and twomode "squeezed states", special kinds of GPS whose lownoise properties make them attractive for applications in such fields as optical communications and gravitational wave detection. The fourth paper is an analysis of the noise in homodyne detection, a phasesensitive detection scheme in which the special properties of (singlemode) squeezed states are revealed as an improved signaltonoise ratio relative to that obtained with coherent states (the states produced, e.g., by a laser).
The fifth and sixth papers deal with problems of a different nature from that of the previous papers. The fifth paper considers the validity of the "standard quantum limit" (SQL) for measurements which monitor the position of a free mass. It shows specifically that when the premeasurement wave functions of the free mass and the measuring apparatus(es) are Gaussian (in the general sense, which includes socalled "contractive states"), measurements described by linear couplings to the position or to both the position and momentum are limited by the SQL. The sixth paper develops the mathematical theory of torsional (toroidal) oscillations in fully general relativistic, nonrotating, spherical stellar models, and of the gravitational waves they emit.
Item Type:  Thesis (Dissertation (Ph.D.)) 

Subject Keywords:  Physics 
Degree Grantor:  California Institute of Technology 
Division:  Physics, Mathematics and Astronomy 
Major Option:  Physics 
Thesis Availability:  Restricted to Caltech community only 
Research Advisor(s): 

Group:  TAPIR 
Thesis Committee: 

Defense Date:  15 May 1985 
Record Number:  CaltechTHESIS:09062017132307035 
Persistent URL:  http://resolver.caltech.edu/CaltechTHESIS:09062017132307035 
Default Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  10414 
Collection:  CaltechTHESIS 
Deposited By:  Benjamin Perez 
Deposited On:  06 Sep 2017 22:33 
Last Modified:  06 Sep 2017 22:33 
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